Dissertations / Theses on the topic 'Magnetic geometry'
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1
Kemp, Graham. "Algebra and geometry of Dirac's magnetic monopole." Thesis, Loughborough University, 2013. https://dspace.lboro.ac.uk/2134/12508.
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This thesis is concerned with the quantum Dirac magnetic monopole and two classes of its generalisations. The first of these are certain analogues of the Dirac magnetic monopole on coadjoint orbits of compact Lie groups, equipped with the normal metric. The original Dirac magnetic monopole on the unit sphere S^2 corresponds to the particular case of the coadjoint orbits of SU(2). The main idea is that the Hilbert space of the problem, which is the space of L^2-sections of a line bundle over the orbit, can be interpreted algebraically as an induced representation. The spectrum of the corresponding Schodinger operator is described explicitly using tools of representation theory, including the Frobenius reciprocity and Kostant's branching formula. In the second part some discrete versions of Dirac magnetic monopoles on S^2 are introduced and studied. The corresponding quantum Hamiltonian is a magnetic Schodinger operator on a regular polyhedral graph. The construction is based on interpreting the vertices of the graph as points of a discrete homogeneous space G/H, where G is a binary polyhedral subgroup of SU(2). The edges are constructed using a specially selected central element from the group algebra, which is used also in the definition of the magnetic Schrodinger operator together with a character of H. The spectrum is computed explicitly using representation theory by interpreting the Hilbert space as an induced representation.
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Goode, Brent. "Plasma response to waves in arbitrary magnetic field geometry." Diss., Connect to online resource, 2005. http://wwwlib.umi.com/cr/colorado/fullcit?p3190342.
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Mussa, Ali Ibrahim Al. "Convection and magnetoconvection problems in rapidly rotating spherical geometry." Thesis, University of Exeter, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.324033.
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Papaharilaou, Yannis. "Studies of fluid flow in arterial bypass grafts by magnetic resonance imaging." Thesis, Imperial College London, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.271254.
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Benedetti, Gabriele. "The contact property for magnetic flows on surfaces." Thesis, University of Cambridge, 2015. https://www.repository.cam.ac.uk/handle/1810/247157.
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This work investigates the dynamics of magnetic flows on closed orientable Riemannian surfaces. These flows are determined by triples (M, g, σ), where M is the surface, g is the metric and σ is a 2-form on M . Such dynamical systems are described by the Hamiltonian equations of a function E on the tangent bundle TM endowed with a symplectic form ω_σ, where E is the kinetic energy. Our main goal is to prove existence results for a) periodic orbits, and b) Poincare sections for motions on a fixed energy level Σ_m := {E = m^2/2} ⊂ T M . We tackle this problem by studying the contact geometry of the level set Σ_m . This will allow us to a) count periodic orbits using algebraic invariants such as the Symplectic Cohomology SH of the sublevels ({E ≤ m^2/2}, ω_σ ); b) find Poincare sections starting from pseudo-holomorphic foliations, using the techniques developed by Hofer, Wysocki and Zehnder in 1998. In Chapter 3 we give a proof of the invariance of SH under deformation in an abstract setting, suitable for the applications. In Chapter 4 we present some new results on the energy values of contact type. First, we give explicit examples of exact magnetic systems on T^2 which are of contact type at the strict critical value. Then, we analyse the case of non-exact systems on M different from T^2 and prove that, for large m and for small m with symplectic σ, Σ_m is of contact type. Finally, we compute SH in all cases where Σ_m is convex. On the other hand, we are also interested in non-exact examples where the contact property fails. While for surfaces of genus at least two, there is always a level not of contact type for topological reasons, this is not true anymore for S^2 . In Chapter 5, after developing the theory of magnetic flows on surfaces of revolution, we exhibit the first example on S^2 of an energy level not of contact type. We also give a numerical algorithm to check the contact property when the level has positive magnetic curvature. In Chapter 7 we restrict the attention to low energy levels on S^2 with a symplectic σ and we show that these levels are of dynamically convex contact type. Hence, we prove that, in the non-degenerate case, there exists a Poincare section of disc-type and at least an elliptic periodic orbit. In the general case, we show that there are either 2 or infinitely many periodic orbits on Σ_m and that we can divide the periodic orbits in two distinguished classes, short and long, depending on their period. Then, we look at the case of surfaces of revolution, where we give a sufficient condition for the existence of infinitely many periodic orbits. Finally, we discuss a generalisation of dynamical convexity introduced recently by Abreu and Macarini, which applies also to surfaces with genus at least two.
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Pedersen, H. "Geometry and magnetic monopoles : Constructions of Einstein metrics and Einstein-Weyl geometries." Thesis, University of Oxford, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.353118.
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Herbrich, Peter. "Spectral aspects of broken drums and periodic magnetic Schrödinger operators." Thesis, University of Cambridge, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.607685.
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Meng, Jinglei. "Effect of geometry and anisotropy on the magnetic moment of type II superconductors." Thesis, University of Ottawa (Canada), 1994. http://hdl.handle.net/10393/9911.
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Formulae for the magnetic moment $\vec\mu$ of anisotropic platelets of high $T\sb{c}$ superconductors developed by Gyorgy et al and Peterson are frequently exploited by these and other researchers to estimate $j\sbsp{c}{c}$ and $j\sbsp{c}{ab}$, the critical current densities along the c axis and in the ab plane taken to be independent of the magnetic flux density B. These formulae were derived using the basic definition, $\ = ( -\ \mu\sb0H\sb{a})/\mu\sb0$ and ignoring end effects, (i.e. any demagnetizing fields), hence implied that the aspect ratio along the magnetizing field $H\sb{a}$ is large. This approximation is inappropriate for platelets penetrated by $H\sb{a}$. We develop these formulae using the alternative basic definition of a magnetic moment, $\vec\mu = 1/2\int(\vec{R}\times \vec{j})dV$. Now however, for the approach to be valid, $\vec{j} = j\sbsp{c}{c}$ or $\vec{j} = j\sbsp{c}{ab}$ must be independent of B (Bean approximation) and fill the entire volume of the specimen (i.e. a saturated critical state must be established). We show that these formulae are correct under these restrictions regardless of the configuration of $\vec{B}(x,y,z)$ and the neglect of end effects and attendant demagnetizing fields. Pursuing this framework and the latter definition we develop formulae for $\vec\mu$ for isotropic parallelepipeds of various aspect ratios as a function of their inclination $\theta$ with respect to the magnetizing field $\vec H\sb{a}$. We maintain throughout the critical assumption that the induced persistent currents circulate transverse to $\vec H\sb{a}$. The graphs of computations with these formulae are useful in identifying the role of geometry on the magnitude of $\vec\mu$. We also envisage two simple but basic regimes of anisotropy of the critical current densities. (Abstract shortened by UMI.)
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Nsibi, Mohamed Ali. "Asymmetric magnetic domain walls motion in a two-dimensional geometry : causes and effects." Thesis, Université Grenoble Alpes (ComUE), 2019. http://www.theses.fr/2019GREAY047.
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L’étude du déplacement par le courant électrique des parois de domaine magnétique a généré beaucoup d’intérêt depuis l’observation de leurs importantes vitesses de déplacement dans des multicouches ayant une asymétrie d’inversion verticale (SIA). Cet intérêt se justifie par leur fort potentiel pour de nouvelles applications à basse consommation d’énergie en mémoire cache ou mémoires centrale. L’inversion de symétrie (SIA) induit deux mécanismes dont l’action conjointe permet de déplacer efficacement les parois de domaines. Il s’agit d’une contribution énergétique chirale, appelée l’interaction Dzyaloshinskii-Moriya (DMI), et des couples de spin-orbite (SOT). Ce modèle reste incomplet vu qu’il n’explique pas plusieurs résultats expérimentaux. De plus, une contribution dissipative chirale appelée l’amortissement anisotrope, également induite par la SIA, a été proposée récemment et dont le rôle, sous courant, n’as pas encore été étudié.Le but de ce travail a été d’amener une connaissance détaillée des différentes interactions en jeu dans la dynamique des parois de domaine. Pour cela, j’ai étudié la propagation de parois sous courant dans une géométrie non colinéaire. Cette étude a été réalisée dans des systèmes ayant des SIA différentes (Pt/Co/Pt et Pt/Co/AlOx). Dans cette géométrie, j’ai observé l’asymétrie du déplacement qui illustre la compétition entre les contributions chirales d’énergie et d’amortissement dans des multicouches à faible SIA. Quant aux multicouches à forte SIA, l’asymétrie ne peut être expliquée par l’action conjointe de DMI et SOT même dans le régime à forte mobilité. Une des conséquences de ce type de déplacement est de contribuer à la déviation des bulles de skyrmion en mouvement. Nous avons appelé cet effet l’effet Hall extrinsèque des skyrmions.En mettant en évidence de nouveaux effets induits par SIA, les résultats de cette thèse contribuent à une meilleur compréhension des mécanismes intervenant dans les déplacements des parois et des skyrmions sous courant dans les multicouches magnétiquesThe study of the current-induced magnetic domain walls motion has attracted a lot of interest since the report of their large velocities of motion in thin layers with structural inversion asymmetry (SIA). This interest comes from their high potential for low power consumption functionalities in cache and main memories applications. The SIA induces two mechanisms whose combined action allows to drive efficiently the domain walls. The two mechanisms are the chiral energy term, called the Dzyaloshinskii-Moriya interaction (DMI), and the spin-orbit torques (SOT). This model is still incomplete since it does not explain several experimental results. In addition, a chiral dissipation term called the chiral damping, also induced by SIA, has recently been proposed. However, its effect on current-induced domain wall motion has not been studied.The objective of this work was to bring a more detailed understanding of the interactions involved in the domain wall motion. To that end, I have studied the domain wall motion in a non-collinear geometry with respect to the current, in materials with different SIA (Pt/Co/Pt and Pt/Co/AlOx). This motion has been found to be asymmetric. It illustrates the interplay between chiral energy and chiral dissipation in current-induced domain wall motion in weak SIA materials. In large SIA materials, the DMI and SOT model, even in the flow regime of motion, cannot explain this asymmetry. I have also evidenced that the asymmetric non-collinear domain wall motion induces a well-defined deflection of the skyrmion bubbles. This is the first observation of the extrinsic skyrmion Hall effect.The results of this thesis contribute to the understanding of the physical mechanisms behind domain wall and skyrmion motion in ultrathin layers by evidencing supplementary effects from SIA
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Körs, Boris. "Open strings in magnetic background fields." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2001. http://dx.doi.org/10.18452/14635.
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Es werden verschiedene Aspekte interner magnetischer Hintergrundfelder in Theorien offener Strings diskutiert. Phaenomenologisch und konzeptionell interessante Eigenschaften solcher Vakua, die Brechung von Supersymmetrie, Eichsymmetrie und chiraler Symmetrie, werden auf ganz generische Weise behandelt. Dann wird eine Spezialisierung auf Typ I Modelle, kompaktifiziert auf Tori und Bahnfaltigkeiten, durchgefuehrt. Daraus wird eine Methode gewonnen zur Konstruktion von Typ I Vakua mit attraktiven effektiven Feldtheorien als Niederenergienaeherungen, sowohl supersymmetrische wie nicht supersymmetrische Modelle mit chiralen Fermionspektren und Eichgruppen aehnlich dem Standardmodell oder einer vereinheitlichenden Verallgemeinerung desselben. Die am weitesten entwickelten Beispiele kombinieren magnetische Felder mit NSNS B-Feldern auf Bahnfaltigkeiten. Zuletzt wird noch eine verwandte Klasse von Modellen besprochen, die zwar eher weniger vielversprechende phaenomenologische Perspektiven bietet, aber einige konzeptionelle Spezialitaeten aufweist. In diesen Kompaktifizierungen werden asymmetrische Rotationen geeicht, so dass D-branen mit unterschiedlichen Werten fuer die magnetischen Felder auf ihrem Weltvolumen identifiziert werden, womit die Unterscheidung von kommutativen und nicht kommutativen Geometrien verlorengeht.We discuss various aspects of internal magnetic background fields in open string theories. Phenomenologically and conceptually interesting properties of such string theory backgrounds, supersymmetry and gauge symmetry breaking, chiral fermion spectra and noncommutativity of the internal compactification manifolds, are treated in a rather generic framework. We then specialize to type I compactifications on tori and toroidal orbifolds with magnetic fields on the internal space. This allows to develop a strategy for constructing type I vacua with attractive low energy field theories which may either be supersymmetric or not and contain chiral spectra and gauge groups close to the Standard Model or some grand unified generalization thereof. The most sophisticated version uses magnetic fields and NSNS B-fields on orbifold spaces giving rise to a plethora of promising examples for semi-realistic string compactifications. We finally also present a related class of asymmetric orbifolds of type I which are of little phenomenological interest but still display certain interesting features. The asymmetric rotations which are gauged in these models identify D-branes with different values for the magnetic field on their world volume, such that the distinction of commutative and noncommutative internal geometries is lost.
11
Cui, Han. "Constant-Flux Inductor with Enclosed-Winding Geometry for Improved Energy Density." Thesis, Virginia Tech, 2013. http://hdl.handle.net/10919/34722.
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The passive components such as inductors and capacitors are bulky parts on circuit boards. Researchers in academia, government, and industry have been searching for ways to improve the magnetic energy density and reduce the package size of magnetic parts. The â constant-fluxâ concept discussed herein is leveraged to achieve high magnetic-energy density by distributing the magnetic flux uniformly, leading to inductor geometries with a volume significantly lower than that of conventional products. A relatively constant flux distribution is advantageous not only from the density standpoint, but also from the thermal standpoint via the reduction of hot spots, and from the reliability standpoint via the suppression of flux crowding.
For toroidal inductors, adding concentric toroidal cells of magnetic material and distributing the windings properly can successfully make the flux density distribution uniform and thus significantly improve the power density.
Compared with a conventional toroidal inductor, the constant-flux inductor introduced herein has an enclosed-winding geometry. The winding layout inside the core is configured to distribute the magnetic flux relatively uniformly throughout the magnetic volume to obtain a higher energy density and smaller package volume than those of a conventional toroidal inductor.
Techniques to shape the core and to distribute the winding turns to form a desirable field profile is described for one class of magnetic geometries with the winding enclosed by the core. For a given set of input parameters such as the inductorâ s footprint and thickness, permeability of the magnetic material, maximum permissible magnetic flux density for the allowed core loss, and current rating, the winding geometry can be designed and optimized to achieve the highest time constant, which is the inductance divided by resistance (L/Rdc).
The design procedure is delineated for the constant-flux inductor design together with an example with three winding windows, an inductance of 1.6 µH, and a resistance of 7 mΩ. The constant-flux inductor designed has the same inductance, dc resistance, and footprint area as a commercial counterpart, but half the height.
The uniformity factor α is defined to reflect the uniformity level inside the core volume. For each given magnetic material and given volume, an optimal uniformity factor exists, which has the highest time constant. The time constant varies with the footprint area, inductor thickness, relative permeability of the magnetic material, and uniformity factor. Therefore, the objective for the constant-flux inductor design is to seek the highest possible time constant, so that the constant-flux inductor gives a higher inductance or lower resistance than commercial products of the same volume. The calculated time-constant-density of the constant-flux inductor designed is 4008 s/m3, which is more than two times larger than the 1463 s/m3 of a commercial product.
To validate the concept of constant-flux inductor, various ways of fabrication for the core and the winding were explored in the lab, including the routing process, lasing process on the core, etching technique on copper, and screen printing with silver paste. The most successful results were obtained from the routing process on both the core and the winding. The core from Micrometals has a relative permeability of around 22, and the winding is made of copper sheets 0.5 mm thick. The fabricated inductor prototype shows a significant improvement in energy density: at the same inductance and resistance, the volume of the constant-flux inductor is two times smaller than that of the commercial counterpart.
The constant-flux inductor shows great improvement in energy density and the shrinking of the total size of the inductor below that of the commercial products. Reducing the volume of the magnetic component is beneficial to most power. The study of the constant-flux inductor is currently focused on the dc analysis, and the ac analysis is the next step in the research.Master of Science
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Golebiowski, Andrzej. "Investigation of the effect of flux cutting on magnetic behaviour in hollow cylindrical geometry." Thesis, University of Ottawa (Canada), 1988. http://hdl.handle.net/10393/5234.
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Yuen, Rai. "Pulsar Magnetosphere Revisited: Emission Geometry and the Synthesis of the Vacuum-Dipole and the Rotating-Magnetosphere Models." Thesis, The University of Sydney, 2013. http://hdl.handle.net/2123/10011.
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We reconsider the vacuum-dipole model (VDM) and the corotating-magnetosphere model (CMM) for pulsar electrodynamics. Both the VDM and the CMM are fatally flawed as stand-alone models. The former model is used for deriving certain pulsar parameters, such as the surface magnetic field strength and characteristic age, but it lacks the plasma required to emit the observed radiation. The latter model introduces important concepts, such as the Goldreich-Julian charge density and corotation electric field, which form the basis for more detailed models, but it neglects the inductive electric field. When this field is included, the model is unstable to growth of large-amplitude electric oscillations when subject to a temporal perturbation. Furthermore, the predicted highly-relativistic magnetospheric plasma given by the two models is inconsistent with results obtained from observations with the Double Pulsar system. We therefore propose a way of synthesizing the VDM and the CMM for obliquely rotating pulsars. We first modify the VDM to a "minimal" model by assuming that the parallel component of the inductive electric field is screened by charges. We define a class of synthesized models as a linear combination of a fraction y times the minimal model and 1 - y times the CMM. We suggest that the synthesized model provides a basis for understanding the abrupt changes in the magnetospheres of some pulsars, which can alter their slowing down rates. The synthesized model also implies that the velocity of the magnetospheric plasma depends on y and the position of the emission point, which is determined numerically based on the obliquity and viewing angles for emission heights close to stellar surface in dipolar magnetic field structure. We also explore the field structure by including higher order terms in the ratio of the radius to the light-cylinder radius in the magnetic field and explore the implications of these additional terms.
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Skoczelas, Brenda M. "A mathematical model for calculating the effect of toroidal geometry on the measured magnetic field." Muncie, Ind. : Ball State University, 2009. http://cardinalscholar.bsu.edu/714.
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Kaji, Shuichiro. "Annular Geometry in Patients With Chronic Ischemic Mitral Regurgitation: Three-Dimensional Magnetic Resonance Imaging Study." Kyoto University, 2008. http://hdl.handle.net/2433/124334.
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Gallo, Alberto. "Impact of the plasma geometry on the divertor power exhaust in a magnetic fusion reactor." Thesis, Aix-Marseille, 2018. http://www.theses.fr/2018AIXM0001/document.
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Une compréhension profonde du transport du plasma au bord d'un réacteur à fusion par confinement magnétique est obligatoire pour gérer l'extraction de puissance. Dans les dispositifs de fusion de nouvelle génération, des limites technologiques contraignent le flux de chaleur maximal au divertor. Pour une puissance d'échappement donnée le flux de chaleur maximal est déterminé par l'amplitude de l'empreinte du plasma au mur. Les profils de flux de chaleur au divertor peuvent être paramétrés par deux échelles de longueur du transport. Nous remettons en question l'interprétation actuelle de ces deux échelles de longueur en étudiant l'impact de la géométrie du divertor sur l'échappement. En particulier, un élargissement des profils de flux de chaleur avec la longueur de la jambe du divertor externe est diagnostiqué. Des efforts de modélisation ont montré que les simulations diffusives reproduisent les profils expérimentaux de flux de chaleur pour les plasmas à jambes courtes. Inversement, l'étalement du flux de chaleur pour une longe jambe du divertor est reproduit par un modèle turbulent, soulignant l'importance de la turbulence aussi dans le divertor. Ces résultats remettent en question l'interprétation de la largeur du flux de chaleur comme grandeur liée a la main SOL uniquement. Les configurations magnétiques avec une longe jambe du divertor mettent en évidence l'importance du transport asymétrique dans le divertor. Nous concluons que le transport dans la main SOL et celui dans le divertor ne sont pas à découpler et nous soulignons l'importance de la géométrie magnétique sur le transport turbulent avec l'avantage potentiel d'un inattendu étalement du dépôt de puissanceA deep understanding of plasma transport at the edge of a magnetically confined fusion device is mandatory for a sustainable and controlled handling of the power exhaust. In the next-generation fusion device ITER, technological limits constrain the peak heat flux on the divertor. For a given exhaust power the peak heat flux is determined by the extent of the plasma footprint on the wall. Heat flux profiles at the divertor targets of X-point configurations can be parametrized by using two length scales for the transport of heat in SOL. In this work, we challenge the current interpretation of these two length scales by studying the impact of divertor geometry modifications on the heat exhaust. In particular, a significant broadening of the heat flux profiles at the outer divertor target is diagnosed while increasing the length of the outer divertor leg. Modelling efforts showed that diffusive simulations well reproduce the experimental heat flux profiles for short-legged plasmas. Conversely, the broadening of the heat flux for a long divertor leg is reproduced by a turbulent model, highlighting the importance of turbulent transport not only in the main SOL but also in the divertor. These results question the current interpretation of the heat flux width as a purely main SOL transport length scale. In fact, long divertor leg magnetic configurations highlighted the importance of asymmetric divertor transport. We therefore conclude that main SOL and divertor SOL transport cannot be arbitrarily disentangled and we underline the importance of the divertor magnetic geometry in enhancing asymmetric turbulent transport with the potential benefit of an unexpected power spreading
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Gallo, Alberto. "Impact of the plasma geometry on the divertor power exhaust in a magnetic fusion reactor." Electronic Thesis or Diss., Aix-Marseille, 2018. http://www.theses.fr/2018AIXM0001.
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Une compréhension profonde du transport du plasma au bord d'un réacteur à fusion par confinement magnétique est obligatoire pour gérer l'extraction de puissance. Dans les dispositifs de fusion de nouvelle génération, des limites technologiques contraignent le flux de chaleur maximal au divertor. Pour une puissance d'échappement donnée le flux de chaleur maximal est déterminé par l'amplitude de l'empreinte du plasma au mur. Les profils de flux de chaleur au divertor peuvent être paramétrés par deux échelles de longueur du transport. Nous remettons en question l'interprétation actuelle de ces deux échelles de longueur en étudiant l'impact de la géométrie du divertor sur l'échappement. En particulier, un élargissement des profils de flux de chaleur avec la longueur de la jambe du divertor externe est diagnostiqué. Des efforts de modélisation ont montré que les simulations diffusives reproduisent les profils expérimentaux de flux de chaleur pour les plasmas à jambes courtes. Inversement, l'étalement du flux de chaleur pour une longe jambe du divertor est reproduit par un modèle turbulent, soulignant l'importance de la turbulence aussi dans le divertor. Ces résultats remettent en question l'interprétation de la largeur du flux de chaleur comme grandeur liée a la main SOL uniquement. Les configurations magnétiques avec une longe jambe du divertor mettent en évidence l'importance du transport asymétrique dans le divertor. Nous concluons que le transport dans la main SOL et celui dans le divertor ne sont pas à découpler et nous soulignons l'importance de la géométrie magnétique sur le transport turbulent avec l'avantage potentiel d'un inattendu étalement du dépôt de puissanceA deep understanding of plasma transport at the edge of a magnetically confined fusion device is mandatory for a sustainable and controlled handling of the power exhaust. In the next-generation fusion device ITER, technological limits constrain the peak heat flux on the divertor. For a given exhaust power the peak heat flux is determined by the extent of the plasma footprint on the wall. Heat flux profiles at the divertor targets of X-point configurations can be parametrized by using two length scales for the transport of heat in SOL. In this work, we challenge the current interpretation of these two length scales by studying the impact of divertor geometry modifications on the heat exhaust. In particular, a significant broadening of the heat flux profiles at the outer divertor target is diagnosed while increasing the length of the outer divertor leg. Modelling efforts showed that diffusive simulations well reproduce the experimental heat flux profiles for short-legged plasmas. Conversely, the broadening of the heat flux for a long divertor leg is reproduced by a turbulent model, highlighting the importance of turbulent transport not only in the main SOL but also in the divertor. These results question the current interpretation of the heat flux width as a purely main SOL transport length scale. In fact, long divertor leg magnetic configurations highlighted the importance of asymmetric divertor transport. We therefore conclude that main SOL and divertor SOL transport cannot be arbitrarily disentangled and we underline the importance of the divertor magnetic geometry in enhancing asymmetric turbulent transport with the potential benefit of an unexpected power spreading
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Szita, Sarah. "Variability of 40-3000keV electrons at geosynchronous orbit." Thesis, University College London (University of London), 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.286686.
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Shi, Yuanjing. "Investigation of island geometry variations in bit patterned media storage systems." Thesis, University of Manchester, 2011. https://www.research.manchester.ac.uk/portal/en/theses/investigation-of-island-geometry-variations-in-bit-patterned-media-storage-systems(b16092b6-7260-4dc5-aa30-7dabb2c7a46f).html.
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Bit-Patterned Media (BPM) has been recognised as one of the candidate technologies to achieve an areal density beyond 1Tb/in2 by fabricating single-domain islands out of continuous magnetic media. Though much attention has been focused on the fabrication of BPM, existing lithography techniques demonstrate difficulties in producing uniform islands over large areas cost effectively; the resulting fabricated islands often vary in position and size. The primary purpose of the research documented in this thesis is to investigate the issue of island geometry variations on the data recovery process from a perpendicular patterned media with head and media configurations optimised to achieve an areal density of 1Tb/in2. In order to achieve the research aim, a read channel model has been implemented as a platform to evaluate the read channel performance numerically. It can be also altered to investigate new read channel designs. The simulated results demonstrate that island geometry variations have a detrimental effect on read channel performance. It has shown that a BPM system can be tolerant to island position variations, but more effort needs to be paid to the effect that island size variations have on the read channel performance. A new read channel design revolving around the design of a modified trellis has been proposed for use in the Viterbi detector in order to combat the effect of island geometry variations. The modified trellis for island position variations results in extra states and branches compared to the standard trellis, while the modified trellis for island size variations results in only extra branches. The novel read channel designs demonstrate an improved read channel performance in the presence of island geometry variations even with increasing amounts of island position and size variations. There are two ways to obtain the read channel performance in terms of the bit-error-rate (BER): a) by running a numerical Monte-Carlo simulation to count the number of bits in error at the output of the read channel model and b) using an analytical approach to calculate the BER by approximating the noise into a known distribution. It is shown that both ways demonstrate very similar results, which indicates as long as the distribution of the noise present in read channel model is predictable, the analytical approach can evaluate the BER performance more efficiently, especially when the BER is low. However, the Monte-Carlo simulation is still useful for understanding of the correlation of the errors. Novel trellis proposed in this work will contribute to the commercial development of BPM in two ways: a) to improve the data recovery process in BPM systems, b) to allow a tolerance of 10% size variations for the existing fabrication techniques.
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Pardo, Vivé Enric. "Geometry Effects on the Electromagnetic Properties of Linear Magnetic Materials and Superconductors in the Critical State." Doctoral thesis, Universitat Autònoma de Barcelona, 2004. http://hdl.handle.net/10803/3356.
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Efectes de Geometria en les Propietats Electromagnètiques de Materials Lineals i de Superconductors en l'Estat CríticEl comportament electromagnètic d'un cert material no només depèn de les seves propietats intrínseques sinó també de la geometria de la mostra estudiada. De fet, algunes magnituds magnètiques en mostres del mateix material però geometria diferent poden diferir en varis ordres de magnitud.
La tesi està dividida en dues parts. La primera part està dedicada a l'estudi dels efectes de geometria, també denominats efectes desimantadors, en mostres de materials lineals, homogenis i isòtrops (LHI) sota l'aplicació d'un camp magnètic uniforme. Per quantificar els efectes desimantadors en les magnituds magnètiques més rellevants en materials LHI s'utilitzen els factors de desimantació fluxmètric i magnetomètric (Nf i Nm); el seu càlcul teòric és necessari per poder determinar algunes propietats intrínseques dels materials a partir d'experiments. Després de detectar grans mancances en els resultats teòrics previs dels factors de desimantació per prismes rectangulars, presentem nombrosos càlculs originals de Nf i Nm. Pels casos de prismes infinitament llargs i prismes quadrats finits Nf i Nm es calculen per un rang ampli de relació gruix-amplada i susceptibilitat magnètica. Pel cas d'un prisma finit perfectament diamagnètic es presenta un estudi sistemàtic dels factors de desimantació en funció de les dimensions relatives del prisma a partir de càlculs precisos. També es calculen resultats numèrics per cilindres amb camp aplicat en la direcció radial, situació per la que existien molt poques dades.
L'altra part de la tesi consisteix en un estudi de superconductors durs, que són materials molt interessants per aplicacions pràctiques. En aquest cas, l'estudi es centra en algunes geometries infinitament llargues immerses en un camp magnètic altern i uniforme aplicat en direcció transversal o bé que transporten un corrent elèctric altern. Concretament, s'estudien amb detall les geometries de prisma infinit de secció rectangular, el·líptica i varis casos de conjunts de múltiples prismes rectangulars. L'estudi d'aquestes geometries és de gran importància pràctica a l'hora de dissenyar cintes i cables superconductors per treballar en dispositius elèctrics en corrent altern, pels que és fonamental la reducció de les pèrdues energètiques per la viabilitat de la tecnologia basada en cables superconductors. Per fer l'estudi esmentat es desenvolupa un mètode numèric basat en el model d'estat crític per superconductors i la minimització de l'energia magnètica. Pels casos de camp magnètic aplicat, el mètode permet descriure dos tipus de connexió entre filaments, elèctricament aïllats un a un o interconnectats entre sí al extrems dels prismes. Malgrat que el primer tipus de connexió és la que presenta pèrdues energètiques més baixes, no havia estat possible simular-lo fins ara. Els resultats numèrics obtinguts a partir d'aquest mètode són originals i de gran precisió. A més, la descripció sistemàtica del problema permet realitzar un estudi en profunditat de les propietats electromagnètiques per aquestes geometries, gràcies al que s'obtenen unes tendències bàsiques per reduir les pèrdues energètiques.
The electromagnetic behaviour of a certain material do not only depends on its internal properties but also on the geometry of the studied sample. Actually, some magnetic quantities in samples of the same material but different geometry can vary in several orders of magnitude.
The thesis is divided into two parts. In the first part we study the geometry effects, also called demagnetizing effects, in samples made of linear homogenous isotropic materials (LHI) subjected to a uniform applied magnetic field. In order to quantify the demagnetizing effects on the most relevant magnetic quantities of the samples, we carry out accurate calculations for the fluxmetric and magnetometric demagnetizing factors (Nf and Nm); the calculation of these factors is needed to determine some internal magnetic properties of materials from experiments. After detecting some important lacks in the already existing theoretical results for rectangular prisms, we present a complete set of original calculated data of Nf and Nm. For the cases of infinitely long rectangular prisms and finite square bars we calculate Nf and Nm for a wide range of thickness-to-width aspect ratio and magnetic susceptibility. For the case of a perfectly shielding rectangular prism, we present a systematic study of the demagnetizing factors as a function of the relative dimensions of the prism by means of accurate numerical calculations. Numerical results are also presented for cylinders under radial applied field, situation for which there existed very few data.
The other part of the thesis consists in a study of hard superconductors, which are materials very interesting for applications. For this case, we have focused on some infinitely long geometries subjected to either a transverse AC applied field or a transport alternating current. Specifically, there have been studied in detail the geometries of an infinitely long prism with rectangular cross-section, elliptical one and some arrangements of several rectangular prisms. The study of these geometries is of great practical importance for the design of superconducting tapes and cables for devices operating in AC conditions, for which the reduction of the AC loss is of vital importance for the viability of the technology based on superconducting wires. In order to do such an study, we develop a numerical method based on the critical-state model for superconductors and magnetic energy minimization. For the cases considering an applied magnetic field, the method allows the description of two different kinds of filament connexion, mutually electrically isolated or interconnected at the ends of the prisms. Although the first kind of connection presents lower AC loss, this situation has not been simulated until now by any author. The numerical results obtained from this method are original and very accurate. Furthermore, the systematic study of the problem provides a deep understanding of the electromagnetic properties for these geometries, thanks to which we obtain some general trends to reduce the AC loss.
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Hughes-Riley, Theodore, John Beau Webber, Michael Ian Newton, and Robert H. Morris. "Magnetic resonance relaxation measurements using open-geometry sensors to assess the clog state of constructed wetlands." Universitätsbibliothek Leipzig, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-178572.
Full textAbstract:
Monitoring the T1 relaxation of wetland clog matter has previously been identified as a gauge of its clogged state [1]. Magnetic resonance (MR) sensors explored in other work have typically been of a bore-whole configuration, which may not be ideal in a wetland environment where the sensitive volume of the sensor may become physically clogged and therefore inoperable. This work investigates two open-geometry sensor designs and a short study is presented to determine the suitability of the sensors for monitoring the clog state of
wetlands. It was shown that a bar magnet geometry has a higher stray field than that of the four magnet surface sensor also presented, leading to a prohibitively short T2 eff. This means that the T1 values collected are notably shorter and not useful for distinguishing between clog state for the single magnet sensor. By contrast the four magnet surface sensor has a longer T2 eff, making it more suitable for T1 measurements; where T1= 915 ± 212 ms for a very thinly clogged sample, and T1= 127 ± 27 ms for a heavily clogged sample. This offers a clearly resolvable difference in the T1 values allowing the clogging state to be easily determined and making this sensor the desirable choice for long-term embedding.
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Hughes-Riley, Theodore, John Beau Webber, Michael Ian Newton, and Robert H. Morris. "Magnetic resonance relaxation measurements using open-geometry sensors to assess the clog state of constructed wetlands." Diffusion fundamentals 22 (2014) 3, S. 1-8, 2014. https://ul.qucosa.de/id/qucosa%3A13476.
Full textAbstract:
Monitoring the T1 relaxation of wetland clog matter has previously been identified as a gauge of its clogged state [1]. Magnetic resonance (MR) sensors explored in other work have typically been of a bore-whole configuration, which may not be ideal in a wetland environment where the sensitive volume of the sensor may become physically clogged and therefore inoperable. This work investigates two open-geometry sensor designs and a short study is presented to determine the suitability of the sensors for monitoring the clog state of
wetlands. It was shown that a bar magnet geometry has a higher stray field than that of the four magnet surface sensor also presented, leading to a prohibitively short T2 eff. This means that the T1 values collected are notably shorter and not useful for distinguishing between clog state for the single magnet sensor. By contrast the four magnet surface sensor has a longer T2 eff, making it more suitable for T1 measurements; where T1= 915 ± 212 ms for a very thinly clogged sample, and T1= 127 ± 27 ms for a heavily clogged sample. This offers a clearly resolvable difference in the T1 values allowing the clogging state to be easily determined and making this sensor the desirable choice for long-term embedding.
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Leonard, Amaury. "Aspects of higher spin Hamiltonian dynamics: Conformal geometry, duality and charges." Doctoral thesis, Universite Libre de Bruxelles, 2007. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/253872.
Full textAbstract:
Nous avons investigué les propriétés des champs de jauge de spin élevé libres à travers une étude de divers aspects de leur dynamique hamiltonienne. Pour des champs se propageant sur un espace-temps plat, les contraintes issues de l'analyse hamiltonienne de ces théories de jauge ont été identifiées et résolues par l'introduction de prépotentiels, dont l'invariance de jauge comprend, de façon intrigante, à la fois des difféomorphismes linéarisés généralisés et des transformations d'échelle de Weyl généralisées et linéarisées. Cela a motivé notre étude systématique des invariants conformes pour les spins élevés. Les invariants correspondants ont été construits à l'aide du tenseur de Cotton, dont nous avons établi les propriétés essentielles (symétrie, conservation, trace nulle; invariance, complétude). Avec ces outils géométriques, l'analyse hamiltonienne a pu être complétée et une action du premier ordre écrite en termes des prépotentiels. Nous avons constaté que cette action possédait une invariance manifeste par dualité électromagnétique; cette invariance, combinée à l'invariance de jauge des prépotentiels, fixe d'ailleurs uniquement l'action. En outre, de façon générale, cette action s'est révélée être exactement celle obtenue à travers une réécriture des équations du mouvement des spins élevés comme des conditions d'auto-dualité tordue (non manifestement covariantes).Avec un intérêt pour les extensions supersymétriques, nous avons amorcé la généralisation de cette étude aux champs fermioniques. Le champ de masse nulle libre de spin 5/2 a été soumis à la même analyse, et son prépotentiel s'est révélé partager l'invariance de jauge conforme déjà observée dans le cas bosonique général. Le supermultiplet incorporant les spins 2 et 5/2 a ensuite été considéré, et une symétrie rigide de son action, combinant une transformation de dualité électromagnétique du spin 2 avec une transformation de chiralité du spin 5/2 a été construite pour commuter avec la supersymétrie. Dans une autre direction, nous avons étudié les propriétés d'un champ tensoriel chiral de symétrie mixte dans un espace-temps plat à six dimensions: une (2,2)-forme. Son analyse hamiltonienne a été réalisée, des prépotentiels introduits et l'action de premier ordre obtenue s'est encore une fois révélée être la même que celle obtenue à travers une réécriture des équations du mouvement comme des conditions d'auto-chiralité (non manifestement covariante).Finalement, nous nous sommes penchés sur les charges de surface des champs fermioniques et bosoniques de spin élevé se propageant sur un espace-temps à courbure constante. Cela a été réalisé par une analyse hamiltonienne de ces systèmes, les contraintes étant identifiées aux générateurs des transformations de jauge. Injectant dans ces générateurs des valeurs des paramètres des transformations de jauge correspondant à des transformations impropres de jauge (imposant une réelle variation physique sur les champs) a ensuite permis d'évaluer la valeur de ces générateurs pour des champs résolvant les équations du mouvement: elle s'est bien révélée finie et non-nulle, constituant les charges de surface de ces théories.Doctorat en Sciences
info:eu-repo/semantics/nonPublished
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Leonard, Amaury. "Aspects of higher spin Hamiltonian dynamics: Conformal geometry, duality and charges." Doctoral thesis, Universite Libre de Bruxelles, 2017. https://dipot.ulb.ac.be/dspace/bitstream/2013/253872/4/main.pdf.
Full textAbstract:
Nous avons investigué les propriétés des champs de jauge de spin élevé libres à travers une étude de divers aspects de leur dynamique hamiltonienne. Pour des champs se propageant sur un espace-temps plat, les contraintes issues de l'analyse hamiltonienne de ces théories de jauge ont été identifiées et résolues par l'introduction de prépotentiels, dont l'invariance de jauge comprend, de façon intrigante, à la fois des difféomorphismes linéarisés généralisés et des transformations d'échelle de Weyl généralisées et linéarisées. Cela a motivé notre étude systématique des invariants conformes pour les spins élevés. Les invariants correspondants ont été construits à l'aide du tenseur de Cotton, dont nous avons établi les propriétés essentielles (symétrie, conservation, trace nulle; invariance, complétude). Avec ces outils géométriques, l'analyse hamiltonienne a pu être complétée et une action du premier ordre écrite en termes des prépotentiels. Nous avons constaté que cette action possédait une invariance manifeste par dualité électromagnétique; cette invariance, combinée à l'invariance de jauge des prépotentiels, fixe d'ailleurs uniquement l'action. En outre, de façon générale, cette action s'est révélée être exactement celle obtenue à travers une réécriture des équations du mouvement des spins élevés comme des conditions d'auto-dualité tordue (non manifestement covariantes).Avec un intérêt pour les extensions supersymétriques, nous avons amorcé la généralisation de cette étude aux champs fermioniques. Le champ de masse nulle libre de spin 5/2 a été soumis à la même analyse, et son prépotentiel s'est révélé partager l'invariance de jauge conforme déjà observée dans le cas bosonique général. Le supermultiplet incorporant les spins 2 et 5/2 a ensuite été considéré, et une symétrie rigide de son action, combinant une transformation de dualité électromagnétique du spin 2 avec une transformation de chiralité du spin 5/2 a été construite pour commuter avec la supersymétrie. Dans une autre direction, nous avons étudié les propriétés d'un champ tensoriel chiral de symétrie mixte dans un espace-temps plat à six dimensions: une (2,2)-forme. Son analyse hamiltonienne a été réalisée, des prépotentiels introduits et l'action de premier ordre obtenue s'est encore une fois révélée être la même que celle obtenue à travers une réécriture des équations du mouvement comme des conditions d'auto-chiralité (non manifestement covariante).Finalement, nous nous sommes penchés sur les charges de surface des champs fermioniques et bosoniques de spin élevé se propageant sur un espace-temps à courbure constante. Cela a été réalisé par une analyse hamiltonienne de ces systèmes, les contraintes étant identifiées aux générateurs des transformations de jauge. Injectant dans ces générateurs des valeurs des paramètres des transformations de jauge correspondant à des transformations impropres de jauge (imposant une réelle variation physique sur les champs) a ensuite permis d'évaluer la valeur de ces générateurs pour des champs résolvant les équations du mouvement: elle s'est bien révélée finie et non-nulle, constituant les charges de surface de ces théories.Doctorat en Sciences
info:eu-repo/semantics/nonPublished
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Voss, Kimberly Jo. "Investigation of the internal geometry and mechanics of the human fingertip, in vivo, using magnetic resonance imaging." Thesis, Massachusetts Institute of Technology, 1997. http://hdl.handle.net/1721.1/43454.
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Hahn, Artur [Verfasser], and Jürgen P. [Akademischer Betreuer] Debus. "Artificial magnetic resonance contrasts based on microvascular geometry: A numerical basis / Artur Hahn ; Betreuer: Jürgen P. Debus." Heidelberg : Universitätsbibliothek Heidelberg, 2021. http://d-nb.info/1237324033/34.
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Jureit, Jan-Hendrik [Verfasser]. "A braided quasi quantum group from strings in a magnetic field & two applications of noncommutative geometry / Jan-Hendrik Jureit." Kiel : Universitätsbibliothek Kiel, 2008. http://d-nb.info/1019752777/34.
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Seland, John Georg. "Dynamic correlations between inhomogeneous magnetic fields, internal gradients, diffusion and transverse relaxation, as a probe for pore geometry and heterogeneity." Universitätsbibliothek Leipzig, 2015. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-178804.
Full textAbstract:
In this study we have applied 2D NMR experiments where the spatial inhomogeneous magnetic field (Bi) inside a porous sample is correlated to respectively internal gradient (G0), diffusion coefficient (D), and transverse relaxation time (T2) of a confined liquid. Experiments were performed on samples having different pore system geometry and heterogeneity, leading to different types of confinement of the liquid.
The results show that the correlation between G0 and Bi is more sensitive to the type of confinement, and thus also of the pore geometry and heterogeneity, compared to the corresponding correlations involving D and T2.
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Seland, John Georg. "Dynamic correlations between inhomogeneous magnetic fields, internal gradients, diffusion and transverse relaxation, as a probe for pore geometry and heterogeneity." Diffusion fundamentals 22 (2014) 10, S. 1-5, 2014. https://ul.qucosa.de/id/qucosa%3A13490.
Full textAbstract:
In this study we have applied 2D NMR experiments where the spatial inhomogeneous magnetic field (Bi) inside a porous sample is correlated to respectively internal gradient (G0), diffusion coefficient (D), and transverse relaxation time (T2) of a confined liquid. Experiments were performed on samples having different pore system geometry and heterogeneity, leading to different types of confinement of the liquid.
The results show that the correlation between G0 and Bi is more sensitive to the type of confinement, and thus also of the pore geometry and heterogeneity, compared to the corresponding correlations involving D and T2.
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Douros, Ioannis. "Towards a 3 dimensional dynamic generic speaker model to study geometry simplifications of the vocal tract using magnetic resonance imaging data." Electronic Thesis or Diss., Université de Lorraine, 2020. http://www.theses.fr/2020LORR0115.
Full textAbstract:
Dans cette thèse, nous avons utilisé les données de l’IRM du conduit vocal pour étudier la production de la parole. La première partie consiste en l’étude de l’impact que le vélum, l’épiglotte et la position de la tête a sur la phonation de cinq voyelles françaises. Des simulations acoustiques ont été utilisées pour comparer les formants des cas étudiés avec la référence afin de mesurer leur impact. Pour cette partie du travail, nous avons utilisé des IRM statiques en 3D. Comme la parole est généralement une phénomène dynamique une question s’est posée, à savoir s’il serait possible de traiter les données 3D afin d’incorporer des informations temporelles de la parole continue. Par conséquent, la deuxième partie présente quelques algorithmes que l’on peut utiliser pour améliorer les données de production de la parole. Plusieurs transformations d’images ont été combinées afin de générer des estimations des formes du conduit vocal qui sont plus informatives que les originales. À ce stade, nous avons envisagé, outre l’amélioration des données de production de la parole, de créer un modèle de référence générique qui pourrait fournir des informations améliorées non pas pour un sujet spécifique, mais globalement pour la parole. C’est pourquoi nous avons consacré la troisième partie l’étude d’un algorithme permettant de créer un atlas spatio-temporel de l’appareil vocal qui peut être utilisé comme référence ou standard pour l’étude de la parole car il est indépendant du locuteur. Enfin, la dernière partie de la thèse, fait référence à une sélection de questions ouvertes du domaine qui restent encore sans réponse, quelques pistes intéressantes que l’on peut développer à partir de cette thèse et quelques approches potentielles qui pourraient être envisager afin de répondre à ces questionsIn this thesis we used MRI (Magnetic Resonance Imaging) data of the vocal tract to study speech production. The first part consist of the study of the impact that the velum, the epiglottis and the head position has on the phonation of five french vowels. Acoustic simulations were used to compare the formants of the studied cases with the reference in order to measure their impact. For this part of the work, we used 3D static MR (Magnetic Resonance) images. As speech is usually a dynamic phenomenon, a question arose, whether it would be possible to process the 3D data in order to incorporate dynamic information of continuous speech. Therefore the second part presents some algorithms that one can use in order to enhance speech production data. Several image transformations were combined in order to generate estimations of vocal tract shapes which are more informative than the original ones. At this point, we envisaged apart from enhancing speech production data, to create a generic speaker model that could provide enhanced information not for a specific subject, but globally for speech. As a result, we devoted the third part in the investigation of an algorithm that one can use to create a spatiotemporal atlas of the vocal tract which can be used as a reference or standard speaker for speech studies as it is speaker independent. Finally, the last part of the thesis, refers to a selection of open questions of the field that are still left unanswered, some interesting directions that one can expand this thesis and some potential approaches that could help someone move forward towards these directions
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Awe, Thomas J. "Experimental investigation of the properties and phase state of thick aluminum surfaces pulsed to megagauss level magnetic field in a Z-pinch geometry." abstract and full text PDF (UNR users only), 2009. http://0-gateway.proquest.com.innopac.library.unr.edu/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3387802.
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Murnyack, Roberta Michelle. "Development of a three-dimensional finite element model of lateral controlled cortical impact injury in the rat with geometry from magnetic resonance imaging." Thesis, Georgia Institute of Technology, 2001. http://hdl.handle.net/1853/17058.
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Michal, Mikuláš. "Rozvinutí elektroniky a softwaru na robotickém vozidle Car4." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-444973.
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Tato diplomová práce se zabývá revizí elektroniky robotického vozidla car4 se zaměřením na měření rychlosti otáčení kol, výkonovou a řídicí elektroniku. Car4 posloužilo jako základ pro již přes 20 diplomových prací od roku 2010. To znamenalo, že některé základní aspekty car4 byly zastaralé. Bylo vytvořeno schéma elektroniky vozidla, které bylo dále využito pro vývoj a výrobu nového hardwaru. Komponenty byly poté otestovány a implementovány na vozidlo. Dále byl vytvořen kinematický model 4WS vozidla za použití Ackermanovy geometrie, který byl implenetován a otestován na car4. Dále by měl sloužit jako základ řídicího algoritmu pro budoucí vývoj car4.
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Mahariq, Ibrahim M. I. "A Normalized Set Of Force And Permeance Data For Doubly-salient Magnetic Geometries." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/12610561/index.pdf.
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In this study, a model is developed to represent doubly-salient magnetic circuits and to fit finite element analysis for the aim of obtaining a set of normalized normal force, tangential force, and permeance variation data. To obtain the desired data FE field solution method is used. The reliability of finite element results have been verified by three stepsfirst, comparing the numerical results with analytically calculated permeance, second, by solving two switch reluctance motors and comparing the results with the measurements of static torque and flux linkage. The third step is by using the normalized data obtained by solving the model with the aid of an available software that is capable to predict the behavior of switched reluctance motors. Once the reliability of the data is assured, the desired data set is produced and presented in tables.
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Hager, Robert [Verfasser], Klaus [Akademischer Betreuer] Hallatschek, and Harald [Akademischer Betreuer] Friedrich. "Radial propagation of geodesic acoustic modes : Analysis of magnetic geometry, nonlinear and non-Boussinesq properties of oscillating flows / Robert Hager. Gutachter: Harald Friedrich. Betreuer: Klaus Hallatschek." München : Universitätsbibliothek der TU München, 2011. http://d-nb.info/1019588713/34.
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Bolton, Timothy. "Optimal design of electrically-small loop antenna including surrounding medium effects." Thesis, Georgia Institute of Technology, 2016. http://hdl.handle.net/1853/54836.
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Electrically-small loop antennas are a complex topic, with many design concepts to consider, including: effective magnetic core permeability, antenna impedance, antenna radiation, surrounding medium effects, and optimization approaches. There is a plethora of literature available covering these subjects but many conflict, compete, or are overall lacking; this thesis seeks to compare and analyze literature then validate with measurements, allowing optimal design.
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Orozco, Henao Juan Manuel 1989. "Efeitos de tamanho e geometria nas propriedades magnéticas e de hipertermia magnética em nanopartículas de Fe3O4." [s.n.], 2016. http://repositorio.unicamp.br/jspui/handle/REPOSIP/305751.
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Orientador: Marcelo KnobelDissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Física Gleb Wataghin
Made available in DSpace on 2018-08-30T18:13:51Z (GMT). No. of bitstreams: 1 OrozcoHenao_JuanManuel_M.pdf: 7687296 bytes, checksum: d9aecf2d118aed0c43ab747d0dcff34c (MD5) Previous issue date: 2016
Resumo: Nanopartículas de magnetita com diâmetros entre 5nm e 19nm sintetizadas mediante um método de decomposição térmica são apresentadas. A caracterização estrutural é feita usando diferentes técnicas experimentais como a microscopia eletrônica de transmissão (TEM), difração de raios-X e espalhamento de raios-X a baixos ângulos (SAXS) de onde são obtidos os tamanhos e a forma das nanopartículas. As propriedades magnéticas e de magneto-hipertermia das nanopartículas são estudadas para diferentes parâmetros de produção como concentração dos surfactantes, temperaturas de refluxo e atmostfera de crescimento. A dependência com a temperatura das propriedades magnéticas são analisadas dentro do marco do modelo usual do superparamagnetismo e o modelo de interação superparamagnética (ISP), de onde os parâmetros magnéticos dependentes do tamanho como anisotropia magnética (1.06x10^4 J/m^3 até 9.91x10^4 J/m^3), momento magnético por partícula (2618?B até 11500?B), temperatura de bloqueio (18K até mais de 300K) e energia de ineração dipolar magnética (0.55x10^-21 J até 5.5x10^-21 J) são inferidos. Os resultados de magneto-hipertermia foram obtidos mediante a medição da resposta térmica das nanopartículas de magnetita suspendidas em tolueno. Valores da taxa de absorção específica (SAR) são calculados experimental e teoricamente utilizando a teoria de resposta linear para um sistema superparamagnético não interagente. Valores de SAR entre 3.0W/g e 40.3W/g e a sua dependência com a frequência e o campo aplicado são apresentados. Como resultado interessante, a resposta de magneto-hipertermia para as nanopartículas de 19nm preparadas na presença de oxigênio e mais de 10 vezes maior do que nanopartículas similares mas obtidas na ausência da atmosfera de oxigênio. Também é destacada a possibilidade de prever a resposta de magneto-hipertermia num sistema de nanopartículas magnéticas mediante a obtenção dos parâmetros de caracterização magnetica e estrutural
Abstract: Magnetite nanoparticles with diameters between 5nm and 19nm synthesized by means of a thermal decomposition method are presented. Structural characterization is made by different experimental techniques such as transmission electron microscopy (TEM), X-ray diffraction and Small Angle X-ray Scattering (SAXS) from where nanoparticles size and shape are obtained. Magnetic and magneto-hyperthermia properties of the nanoparticles are studied for different production parameters, such as surfactant concentrations, refluxing temperature and growth atmosphere. Temperature dependence of the magnetic properties are analyzed in the framework of the standard superparamagnetism model and the interacting superparamagnetic model (ISP), from where size dependent magnetic parameters for each sample such as anisotropy (1.06×10^4 J/m^3 to 9.91x10^4 J/m^3) magnetic moment per particle (2618?B to 11500?B), blocking temperature (18K to above 300K) and magnetic dipolar interaction energy on dried nanoparticle samples (0.55 × 10^?21 J to 5.5 × 10^?21 J) are inferred. Magneto-hyperthermia results are obtained by measuring the thermal response of magnetite nanoparticles dissolved in toluene. Specific absorption rate (SAR) values are theoretically and experimentally calculated by means of a linear response theory approach of a non-interacting superparamagnetic system. SAR values between 5.8W/g and 40.3W/g are reported; interestingly, the magneto-hyperthermia response for 19nm nanoparticles prepared in presence of an oxygen atmosphere is more than 10 times larger than similar particles obtained in absence of oxygen atmosphere. Also it is important to highlight the possibility to obtain the magneto-hyperthermia behavior of a magnetic nanoparticles system by knowing a priori its structural and magnetic characterization parameters
Mestrado
Física
Mestre em Física
1247647/2013
CAPES
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Buhl, Matthias. "Spin Transfer Torque-induziertes Schalten von Nanomagneten in lateraler Geometrie bei Raumtemperatur." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-139909.
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Das Schalten und das Auslesen der magnetischen Ausrichtung einzelner winziger magnetischer Informationsspeicher müssen zu wirklich nanoskopischer Dimension entwickelt werden, um mit der Miniaturisierung von modernen, nanoelektronischen Bauteilen Schritt zu halten. Daher sind neue Konzepte, den magnetischen Zustand von Nanostrukturen elektronisch gezielt zu beeinflussen, derzeitig im Mittelpunkt wissenschaftlicher Untersuchungen. Diese Arbeit befasst sich mit dem zuverlässigen Einstellen der Magnetisierung eines rein horizontal kontaktierten, nanoskopischen Magneten, in zwei stabile Zustände. Ein spinpolarisierter Strom wird bei Raumtemperatur in eine Leiterbahn unterhalb des magnetischen Nanopillars injiziert. Spindiffusion durch den Kontakt zwischen der Leiterbahn (Cu) und dem Pillar (CoFe) ruft eine Spin-Akkumulation im Nanopillar hervor, der durch den Spin Transfer Torque-Effekt (STT) vermittelt wird. Bei diesem Prozess verursachen die akkumulierten Elektronenspins ein auftretendes Netto-Moment, das senkrecht auf die Magnetisierungsorientierung des Nanopillars wirkt und so das Schalten ermöglicht. In den STT-induzierten Schaltexperimenten wird der magnetische Zustand des Nanopillars durch eine bildgebendes Messverfahren mittels Rasterröntgentransmissionsmikroskopie (STXM) erfasst. So konnte gezeigt werden, dass sich die Magnetisierung des Pillars auch gegen das Oersted-Feld des Schaltstroms reversibel schalten lässt“Changing and detecting the orientation of nanomagnetic structures, which can be used for durable information storage, needs to be developed towards true nanoscale dimensions for keeping up the miniaturization speed of modern nano electronic components. Therefore, new concepts for controlling the state of nano magnets are currently in the focus of research in the field of nanoelectronics. Here, we demonstrate reproducible switching of a purely metallic nanopillar placed on a lead that conducts a spin-polarized current at room temperature. Spin diffusion across the metal-metal (Cu to CoFe) interface between the pillar and the lead causes spin accumulation in the pillar, which may then be used to set the magnetic orientation of the pillar by means of Spin Transfer Torque (STT). In our experiments, the detection of the magnetic state of the nanopillar is performed by direct imaging via scanning transmission x-ray microscopy (STXM)” [1]. Therefore it could be demonstrated, to reversibly switch the nanopillar’s magnetic state even against the Oersted field which is induced by the switching current. Furthermore we could show, that magnetization switching is possible by a pure spin current that is diffusively transported beneath the nanopillar
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Grosjean, Alex. "Impact of geometry and shaping of the plasma facing components on hot spot generation in tokamak devices." Electronic Thesis or Diss., Aix-Marseille, 2020. http://www.theses.fr/2020AIXM0556.
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Cette thèse s’inscrit en support du projet ITER, sur l’étude du comportement thermique de prototypes de CFP dans des tokamaks supraconducteurs : EAST et WEST. Ces prototypes correspondent à un enchaînement de monoblocs de tungstène le long d’un tube de refroidissement, séparés par des interstices (0.5 mm), qui permet d’extraire la chaleur de ces composants. L’introduction de ces interstices entre monoblocs (toroïdaux) ou entre barres de monoblocs (poloïdaux), implique que le bord poloïdal peut être exposé aux lignes de champ avec une incidence quasi-normale. Un échauffement local très important est attendu sur une fine bande latérale de la surface supérieure de chaque monobloc, qui peut être accentué dans le cas où les composants sont désalignés. Nous proposons dans ce travail d’étudier l’impact de deux géométries (arête vive et chanfrein) de ces composants ainsi que de leurs désalignements sur la génération de points chauds locaux, à l’aide de diagnostics embarqués (TC/FBG), et d’une caméra infrarouge très haute résolution (~0.1 mm/pixel), dont l’émissivité varie en fonction de la longueur d’onde, de la température, et de l’état de surface, qui évolue au contact du plasma, lors des différentes campagnes expérimentales. Les sondes de Langmuir permettront de mesurer la température du plasma, et par conséquent d’estimer les rayons de Larmor des ions, qui pourront jouer un rôle important dans la distribution locale du flux de chaleur autour des bords poloïdaux et toroïdaux. Les travaux menés ici, montrent la cohérence entre les calculs prédictifs et les résultats expérimentaux et appuient la décision d'ITER de biseauter les MBs pour protéger leurs bords d'attaqueThis PhD falls within ITER project support, aiming to study the thermal behavior of ITER-like PFC prototypes in two superconducting tokamaks: EAST (Hefei) and WEST (Cadarache). These prototypes correspond to castellated tungsten monoblocks placed along a cooling tube with small gaps (0.5 mm) between them, called plasma-facing units, to extract the heat from the components. The introduction of gaps between monoblocks (toroidal) and plasma-facing units (poloidal), to relieve the thermomechanical stresses in the divertor, implies that poloidal leading edges may be exposed to near-normal incidence angle. A local overheating is expected in a thin lateral band at the top of each monoblocks, which can be enhanced when the neighboring components are misaligned. In this work, we propose to study the impact of two geometries (sharp and chamfered LEs) of these components, as well as their misalignments on local hot spot generation, by means of embedded diagnostics (TC/FBG), and a submillimeter infrared system (~0.1 mm/pixel), whose emissivity varies with wavelength, and the temperature, but above all, the surface state of the component, which evolves under plasma exposure, during the experimental campaigns. The divertor Langmuir probes measure the plasma temperature, and thus estimate the ion Larmor radius that may play a role in the local heat flux distribution around poloidal and toroidal edges. The results presented in this thesis, confirming the modelling predictions by experimental measurements, support the final decision by ITER to include 0.5 mm toroidal beveling of monoblocks on the vertical divertor targets to protect poloidal leading edges from excessive heat flux
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Cekić, Mihajlo. "The Calderón problem for connections." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/267829.
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This thesis is concerned with the inverse problem of determining a unitary connection $A$ on a Hermitian vector bundle $E$ of rank $m$ over a compact Riemannian manifold $(M, g)$ from the Dirichlet-to-Neumann (DN) map $\Lambda_A$ of the associated connection Laplacian $d_A^*d_A$. The connection is to be determined up to a unitary gauge equivalence equal to the identity at the boundary. In our first approach to the problem, we restrict our attention to conformally transversally anisotropic (cylindrical) manifolds $M \Subset \mathbb{R}\times M_0$. Our strategy can be described as follows: we construct the special Complex Geometric Optics solutions oscillating in the vertical direction, that concentrate near geodesics and use their density in an integral identity to reduce the problem to a suitable $X$-ray transform on $M_0$. The construction is based on our proof of existence of Gaussian Beams on $M_0$, which are a family of smooth approximate solutions to $d_A^*d_Au = 0$ depending on a parameter $\tau \in \mathbb{R}$, bounded in $L^2$ norm and concentrating in measure along geodesics when $\tau \to \infty$, whereas the small remainder (that makes the solution exact) can be shown to exist by using suitable Carleman estimates. In the case $m = 1$, we prove the recovery of the connection given the injectivity of the $X$-ray transform on $0$ and $1$-forms on $M_0$. For $m > 1$ and $M_0$ simple we reduce the problem to a certain two dimensional $\textit{new non-abelian ray transform}$. In our second approach, we assume that the connection $A$ is a $\textit{Yang-Mills connection}$ and no additional assumption on $M$. We construct a global gauge for $A$ (possibly singular at some points) that ties well with the DN map and in which the Yang-Mills equations become elliptic. By using the unique continuation property for elliptic systems and the fact that the singular set is suitably small, we are able to propagate the gauges globally. For the case $m = 1$ we are able to reconstruct the connection, whereas for $m > 1$ we are forced to make the technical assumption that $(M, g)$ is analytic in order to prove the recovery. Finally, in both approaches we are using the vital fact that is proved in this work: $\Lambda_A$ is a pseudodifferential operator of order $1$ acting on sections of $E|_{\partial M}$, whose full symbol determines the full Taylor expansion of $A$ at the boundary.
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LIMA, VINICIUS DE CARVALHO. "GEOMETRIC MAGNETIC DISCRIMINATOR SENSOR FOR SMART PIGS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2004. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=5859@1.
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AGÊNCIA NACIONAL DE PETRÓLEOFINANCIADORA DE ESTUDOS E PROJETOS
Este trabalho apresenta o desenvolvimento de um sensor inovador combinando três técnicas de inspeção utilizadas nos Pigs Instrumentados Geométrico e Magnético, para a detecção e caracterização de defeitos na geometria em tubulações de aço. O sensor GMD, Geométrico Magnético Discriminador, faz a leitura magnética do duto através da técnica de campo de fuga magnético, com a adição da leitura geométrica além da discriminação de defeitos internos de externos. A combinação dessas três tecnologias habilita a construção de uma ferramenta de inspeção de alta resolução compacta e capaz de identificar e quantificar, com apenas uma coroa de sensores, amassamentos, perdas de espessura e além da sua combinação. Este estudo se apresenta em um momento oportuno, já que a Integração de dados é o ponto fundamental da recente norma de gerenciamento de ricos em dutos, API 1160, na qual combinando os resultados das inspeções de geometria e corrosão, tem-se uma melhor avaliação de risco. Testes foram realizados utilizando um PIG Plano com corpos de prova contendo defeitos variados. Os resultados verificaram que o sensor GMD quantifica e discrimina amassamentos com perda de espessura. Aspectos técnicos do desenvolvimento como os detalhes construtivos do sensor, testes de avaliação a resultados de laboratório são apresentados.
This thesis presents the development of an innovative sensor head for detection and characterization of geometric defects in steel pipes that combines three inspection techniques usually employed separately in Caliper and Magnetic Flux Leakage (MFL) PIGs. The novel Geometric Magnetic Discriminator (GMD) sensor performs high- resolution magnetic pipeline readings using MFL with the addition of internal pipe geometry evaluations and discrimination between internal and external defects. The combination of these technologies in a single sensor facilitates characterization of dents and corrosions, while at the same time optimizing the PIG set-up. According to the repair criteria in the standard API1160, combined defects such as a dent with metal loss, which in the past could only be detected through combined data of two different runs (MFL+ Caliper), must be repaired immediately. The GMD sensor was tested in a linear test rig, known as Flat Pig, and data were taken from different defect sets. Evaluation tests demonstrated that the GMD sensor sizes and discriminates a dent with metal loss. Technical aspects of the development, e.g.: the construction details of the sensor, evaluation tests and laboratory results are presented.
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Calder, S. "Investigation of geometric frustration in magnetic oxides." Thesis, University College London (University of London), 2010. http://discovery.ucl.ac.uk/20165/.
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This thesis describes the experimental investigations of geometric frustration in magnetic oxides. The rare earth double perovskites Ba2HoSbO6 and Ba2ErSbO6 crystallise into the Fm3m cubic space group with the rare earth ions forming a face centred cubic arrangement of edge sharing tetrahedra. This arrangement is expected to result in geometric magnetic frustration. Previous studies have revealed no long range order or spin glass behaviour down to 1.5 K. In this work, low temperature neutron scattering measurements were carried out to investigate the magnetic behaviour below 1.5 K. The crystalline electric field was found to dominate the magnetic behaviour. Using experimental results from inelastic neutron scattering the crystal field level scheme was solved for Ba2HoSbO6 and Ba2ErSbO6. These results were used to successfully predict the observed behaviour of both systems, showing that they can be considered to behave as single ion systems down to the lowest temperature investigated of 0.06 K. As such exchange interactions and any effects of frustration are not evident at the temperatures investigated. As a further step to investigate frustration in magnetic oxides LuCuGaO4 was considered. This has triangular bilayers of magnetic Cu2+ and non-magnetic Ga3+ that are expected to lead to two dimensional geometric magnetic frustration of the Cu2+ ions. The presence of Ga3+ on the same lattice site as the Cu2+ lead to charge frustration. Polarised neutron analysis, inelastic neutron scattering and \muSR build up a coherent picture of the low temperature behaviour of the system which questions the previous belief in the literature of a spin glass transition. Instead what is found is a spin liquid state. Finally, the problem of interpreting the subtle features and signatures of frustration is considered with an alternative \muSR technique. \muSR allows local interactions to be investigated, however the problem of interpreting the results can lead to ambiguity. It is shown that it is possible to successfully implant muons outside the sample of interest and accurately measure the sample’s magnetic dipolar field. In this way \muSR can be used as a bulk magnetometer with the same frequency response as standard \muSR and it is shown that this can be useful in the investigation of frustrated materials with reference to results on Tb2Sn2O7.
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Yang, Ning. "Synchrotron Diffraction Studies of Spontaneous Magnetostriction in Rare Earth Transition Metal Compounds." Washington, D.C. : Oak Ridge, Tenn. : United States. Dept. of Energy. Office of Science ; distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy, 2004. http://www.osti.gov/servlets/purl/835381-gxv1Km/webviewable/.
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Laribi, Elias. "Modélisation numérique de l'impact de la géométrie magnétique sur le plasma de bord des tokamaks." Electronic Thesis or Diss., Aix-Marseille, 2021. http://www.theses.fr/2021AIXM0298.
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Ce travail de thèse a montré que, dans une configuration limiteur, l’élongation des surfaces magnétiques a un effet stabilisant vis-à-vis de la turbulence dans le plasma de bord, ce qui conduit à une diminution de la largeur du plasma de bord quand l’élongation augmente. En ce qui concerne la triangularité, cette thèse a montré que ses effets sur le plasma de bord étaient plus faibles que ceux de l’élongation. Un travail théorique sur un modèle simplifié d'interchange a permis de comprendre ces tendances. Ces travaux ont également mis en lumière l'importance de la variabilité spatiale du champ magnétique sur la taille poloïdale des structures turbulentes et donc sur les flux turbulents radiaux qui en découlent. Dans un second temps, l’étude d’une configuration divertor à un point X nous a permis de voir que la variabilité spatiale du champ magnétique était telle qu'elle pourrait être une des causes du renforcement du caractère ballonné côté faible champ de la turbulence en géométrie divertor. Toujours en géométrie divertor, cette thèse a également montré que davantage de chaleur était déposée sur le matériau interne par rapport au matériau externe lorsque le champ magnétique toroïdal est orienté dans le sens direct (= dérive magnétique des ions vers le point X). Cela peut s'expliquer par l'existence d'une circulation importante de plasma du côté faible champ vers le côté fort champ au niveau du point X que l’on a observée dans cette configuration. Enfin, on a pu confirmer qu’une manière d’améliorer cette répartition des flux de chaleur sur les parois consiste à faire coïncider parfaitement deux points X (= snowflake idéal proposée en 2007 par Ryutov et Soukhanovski)This phD work has shown that, in a limiter configuration, the elongation of magnetic surfaces has a stabilizing effect with respect to the edge plasma turbulence. This leads to a reduction of the edge plasma width when the elongation increases. Regarding triangularity, this phD work revealed that its effects on the edge plasma were weaker than those of elongation. A better understanding of these trends has been possible thanks to a theoretical work on a simplified interchange model. This work has also revealed the importance of the magnetic field spatial variability on the poloidal size of turbulent structures and therefore on the radial turbulent fluxes. In a second step, the study of a divertor configuration with one X point has shown that the the magnetic field spatial variability was so important that it could be one of the reasons that explain the enhancement of the low field side ballooned nature of edge plasma turbulence in a divertor geometry. Still concerning the divertor geometry, this phD also revealed that the internal material receives more heat compared to the external material when the toroidal magnetic field is oriented in the direct direction (= magnetic drift of the ions pointing towards the X point). A possible explanation of this observation is the existence of a significant plasma circulation from the low field side to the high field side at the X point that we observed in this configuration. Finally, we were able to confirm that one way to improve this heat flux distribution on the walls was to merge two X points perfectly (= ideal snowflake proposed in 2007 by Ryutov and Sukhanovsky)
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Laidlaw, David H. Barr Alan H. "Geometric model extraction from magnetic resonance volume data /." Diss., Pasadena, Calif. : California Institute of Technology, 1995. http://resolver.caltech.edu/CaltechETD:etd-10152007-132141.
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Chen, Way Cherng. "Magnetic susceptibility-based white matter magnetic resonance imaging techniques." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:7272b7e6-1fb9-4a1b-a71f-2ce5dfe93fde.
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Gradient echo (GRE) imaging, a magnetic resonance imaging (MRI) technique that is sensitive to changes in the magnetic susceptibility property of tissues, has recently revealed significant signal heterogeneity in white matter (WM) at high magnetic field B0 ≥ 3T. Various aspects of the underlying white matter microstructure have been linked to the observed contrast between white matter regions. This thesis investigates the origins of the observed differences in GRE signal behaviour. We proposed an explicit multi-compartmental model of WM that incorporates realistic representation of the geometry and magnetic susceptibility of the underlying microstructure that can be used to study the effects of WM microstructural changes on GRE signal characteristics. In particular, we looked at the apparent transverse relaxation rate (R2*) and the resonance frequency, as well as their respective deviations from mono-exponential decay and linear phase evolution. Next, we investigated the effect of WM fiber orientation on GRE signal using healthy human volunteers at 3T by correlating the GRE signal from different WM regions with WM fiber orientation information. Using literature-based parameters, we demonstrated that the geometric model predicted similar trends. Lastly, we studied the effect of myelin on GRE signal using a cuprizone mouse model at 7T . An ex vivo study was used to correlate GRE signal in fixed mouse brain with normalized myelin stain intensity. Simulated GRE signal from hypothetical scenarios of demyelination were then compared with the experimental results. R2* and resonance frequency were then used in an in vivo longitudinal study to track myelin changes during demyelination and subsequent remyelination.
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Matcha, Chaitanya Kumar, Mohsen Bahrami, Shounak Roy, Shayan Garani Srinivasa, and Bane Vasic. "Generalized belief propagation based TDMR detector and decoder." IEEE, 2016. http://hdl.handle.net/10150/622831.
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Two dimensional magnetic recording (TDMR) achieves high areal densities by reducing the size of a bit comparable to the size of the magnetic grains resulting in two dimensional (2D) inter symbol interference (ISI) and very high media noise. Therefore, it is critical to handle the media noise along with the 2D ISI detection. In this paper, we tune the generalized belief propagation (GBP) algorithm to handle the media noise seen in TDMR. We also provide an intuition into the nature of hard decisions provided by the GBP algorithm. The performance of the GBP algorithm is evaluated over a Voronoi based TDMR channel model where the soft outputs from the GBP algorithm are used by a belief propagation (BP) algorithm to decode low-density parity check (LDPC) codes.
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Mazzoni, Michele. "A fibre bundle approach to U(1) symmetries in physics." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2018. http://amslaurea.unibo.it/16776/.
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In questa tesi si utilizza il formalismo dei fibrati principali per descrivere le propriet`a
topologiche globali di sistemi fisici classici e quantistici che presentano simmetrie legate
all’azione del gruppo U(1). Nel primo capitolo `e contenuta una esposizione della teoria
matematica dei fibrati, con un particolare riguardo ai fibrati principali ed alle strutture
differenziali definibili su di essi (forme differenziali di connessione e curvatura). Nel
secondo capitolo si impiega il formalismo precedentemente sviluppato per trattare le
propriet`a del monopolo magnetico di Dirac e si ottiene una quantizzazione della carica
magnetica sulla base di considerazioni di natura topologica. Inoltre, si mostra l’impiego
dei fibrati principali U(1) nella costruzione di una descrizione Lagrangiana globale per
sistemi quali una particella carica nel campo del monopolo e una particella classica con
spin in campo magnetico. Nel terzo capitolo, si descrive teoricamente la comparsa di
una fase geometrica (fase di Berry) in sistemi quantistici che evolvono adiabaticamente
nel tempo, e si fornisce un’interpretazione geometrica di tale fase come olonomia in
un fibrato principale U(1). Il moto di una particella quantistica con spin in campo
magnetico quasi-statico e l’effetto Aharonov-Bohm vengono presentati come esempi tipici
di manifestazione di una fase geometrica.
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Moslemzadeh, Nasser. "Geometric and electronic structure of dysprosium thin films on tungsten surfaces." Thesis, University of Liverpool, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.250404.
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Sinclair, E. C. "Geometric reaction forces in billiards." Thesis, University of Bristol, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.294868.
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