Relevant bibliographies by topics / Linear wave scattering

Academic literature on the topic 'Linear wave scattering'

Author: Grafiati
Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Linear wave scattering"

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Mi, Zhao, Long Pengzhen, Wang Piguang, Zhang Chao, and Du Xiuli. "An Analytical Solution for the Interaction of Waves with Arrays of Circular Cylinders." Mathematical Problems in Engineering 2021 (October 11, 2021): 1–12. http://dx.doi.org/10.1155/2021/5710894.

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This paper presents an analytical method to investigate the multiple scattering problem within arrays of vertical bottom-mounted circular cylinders subjected to linear incident waves. Based on the Laplace equation and boundary conditions on the seabed and surface, a formulation of a two-dimensional multiple scattering problem is first obtained by using the variable separation method. Furthermore, the analytical solution of the wave forces on multiple circular cylinders is derived, which consists of the incident wave force due to the linear incident wave and the scattered wave forces considering multiple scattering waves. The presented analytical solution is validated by comparing its results with a numerical method, and the result shows that the analytical solution is in good agreement with the numerical one. Finally, the multiple scattering analysis is conducted on arrays of cylinders with different incident wave numbers, distances between cylinders, and quantities.
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Savotchenko, S. E. "THE LINEAR WAVE SCATTERING BY A NON-LINEAR DEFECT." Belgorod State University Scientific bulletin Mathematics Physics 50, no. 3 (September 30, 2018): 283–91. http://dx.doi.org/10.18413/2075-4639-2018-50-3-283-291.

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Porter, R. "An extended linear shallow-water equation." Journal of Fluid Mechanics 876 (August 1, 2019): 413–27. http://dx.doi.org/10.1017/jfm.2019.555.

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An extension to the classical shallow-water equation (SWE) is derived that exactly satisfies the bed condition and can be regarded as an approximation to wave scattering at the next order in the small parameter $(h/\unicode[STIX]{x1D706})^{2}$ (depth to wavelength ratio squared). In the frequency domain, the extended SWE shares the same simple structure as the standard SWE with coefficients modified by terms relating to the bed variation. In three dimensions the governing equation demonstrates that variable topography gives rise to anisotropic effects on wave scattering not present in the standard SWE, with consequences for the design of water wave metamaterials. Numerical examples illustrate that approximations to wave scattering using the extended SWE are significantly improved in comparison with the standard SWE.
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CHEN, YONGZE, and R. T. GUZA. "Resonant scattering of edge waves by longshore periodic topography." Journal of Fluid Mechanics 369 (August 25, 1998): 91–123. http://dx.doi.org/10.1017/s0022112098001700.

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The resonant scattering of topographically trapped, low-mode progressive edge waves by longshore periodic topography is investigated using a multiple-scale expansion of the linear shallow water equations. Coupled evolution equations for the slowly varying amplitudes of incident and scattered edge waves are derived for small-amplitude, periodic depth perturbations superposed on a plane beach. In ‘single-wave scattering’, an incident edge wave is resonantly scattered into a single additional progressive edge wave having the same or different mode number (i.e. longshore wavenumber), and propagating in the same or opposite direction (forward and backward scattering, respectively), as the incident edge wave. Backscattering into the same mode number as the incident edge wave, the analogue of Bragg scattering of surface waves, is a special case. In ‘multi-wave scattering’, simultaneous forward and backward resonant scattering results in several (rather than only one) new progressive edge waves. Analytic solutions are obtained for single-wave scattering and for a special case of multi-wave scattering involving mode-0 and mode-1 edge waves, over perturbed depth regions of both finite and semi-infinite longshore extent. In single-wave backscattering with small (subcritical) detuning (i.e. departure from exact resonance), the incident and backscattered wave amplitudes both decay exponentially with propagation distance over the periodic bathymetry, whereas with large (supercritical) detuning the amplitudes oscillate with distance. In single-wave forward scattering, the wave amplitudes are oscillatory regardless of the magnitude of the detuning. Multi-wave solutions combine aspects of single-wave backward and forward scattering. In both single- and multi-wave scattering, the exponential decay rates and oscillatory wavenumbers of the edge wave amplitudes depend on the detuning. The results suggest that naturally occurring rhythmic features such as beach cusps and crescentic bars are sometimes of large enough amplitude to scatter a significant amount of incident low-mode edge wave energy in a relatively short distance (O(10) topographic wavelengths).
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Li, Hong Liang. "Far Field Solution of Circular Inclusion and Linear Crack by SH-Wave." Key Engineering Materials 462-463 (January 2011): 455–60. http://dx.doi.org/10.4028/www.scientific.net/kem.462-463.455.

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Circular inclusion exists widely in natural media, engineering materials and structures, and defects are usually found around the inclusion. When a composite material with circular inclusion and cracks is impacted by the dynamic load, on the one hand, the scattering field produced by the circular inclusion and cracks determines the dynamic stress concentration factor around the circular inclusion, and therefore determines whether the material is damaged or not; on the other hand, the scattering field also presents many characteristic parameters of the inclusion and cracks such as defect composition, location and shape, so the research on the scattering far-field is important to the geological prospects, seismological investigation, non-destruction evaluation and the other fields. In the ocean acoustics, the scattering far-field of the acoustic wave is also used in the under-water survey, object distinguishing and so on. In theory, the scattering solution of elastic waves is one of the basic topics of reverse problems on elastic wave. On the basis of literature, few paper concentrates on the scattering far-field solution of SH-wave by a circular inclusion and a linear crack around the inclusion. In the paper a new model and a new method are presented in order to investigate deeply on this kind problem. The paper uses the Green’s function to study the scattering far-field of an elastic wave by a circular inclusion and a linear crack. The Green’s function should be a fundamental solution of displacement field for an elastic space possessing a circular inclusion while bearing out-of-plane harmonic line source force at any point. In terms of the solution of SH-wave’s scattering by an elastic space with a circular inclusion, anti-plane stresses which are the same in quantity but opposite in direction to those mentioned before, are loaded at the region where the linear crack is in existent actually; Then, the expressions of the displacement and stresses are given when the circular inclusion and linear crack exist at the same time. When the special Green’s function has been constructed and close field solution has been illustrated, the far field of scattered wave is studied. The displacement mode of scattered wave at far field and scattering cross-section are given. At last, an example is given and its numerical results are discussed.
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PETER, MALTE A., and MICHAEL H. MEYLAN. "Water-wave scattering by a semi-infinite periodic array of arbitrary bodies." Journal of Fluid Mechanics 575 (March 2007): 473–94. http://dx.doi.org/10.1017/s0022112006004319.

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We consider the scattering by a semi-infinite array of bodies of arbitrary geometry excited by an incident wave in the linear water-wave formulation (which reduces to the simpler case of Helmholtz scattering if the depth dependence can be removed). The theory presented here is extremely general, and we present example calculations for an array of floating elastic plates (a highly non-trivial scatterer). The solution method follows closely from the solution for point scatterers in a medium governed by Helmholtz's equation. We have made several extensions to this theory, considering water-wave scattering, allowing for bodies of arbitrary scattering geometry and showing how to include the effects of bound waves (called Rayleigh–Bloch waves in the water-wave context) in the formulation. We present results for scattering by arrays of cylinders that show the convergence of our methods and also some results for the case of scattering by floating elastic plates and fixed docks.
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Vakakis, A. F. "Scattering of Structural Waves by Nonlinear Elastic Joints." Journal of Vibration and Acoustics 115, no. 4 (October 1, 1993): 403–10. http://dx.doi.org/10.1115/1.2930364.

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An analytic study of the scattering of structural waves by nonlinear elastic joints is presented. Under the assumption of small nonlinearities and/or amplitudes of motion, an averaging methodology is implemented for analyzing the interaction between an incident wave and a nonlinear joint with symmetric stiffness. It is found that, contrary to the predictions of existing linear theories, a single incident wave gives rise to an infinity of reflected waves with frequencies equal to odd multiples of the frequency of the incident wave. The orders of magnitude of the amplitudes of the various reflected waves are considered, and an application of the theory is made by considering the wave scattering from a joint with cubic stiffness nonlinearity. In addition, it is shown that the wave propagation approach presented in this work can be effectively used for predicting nonlinear free oscillations (standing waves) in finite waveguides with nonlinear joints.
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Razavy, M. "Scattering of acoustic waves by an oscillating soft sphere." Canadian Journal of Physics 68, no. 2 (February 1, 1990): 184–89. http://dx.doi.org/10.1139/p90-026.

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The problem of the scattering of acoustic waves by an oscillating sphere with a perfectly reflecting surface is studied. Here, the scattering amplitude is expressible in terms of partial wave amplitudes and these depend on both the incident and the scattered wave frequencies, the difference between these two frequencies being an integral multiple of the frequency of oscillation of the sphere. The exact formulation leads to an infinite set of linear equations for the partial wave scattering amplitude of which only a finite number of terms are important. If the amplitude of oscillation of the sphere is small compared with the wavelength of the scattered wave and the radius of the sphere, a perturbation technique can be used to obtain the scattering amplitude.
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Sugaya, R. "Momentum-space diffusion due to resonant wave–wave scattering of electromagnetic and electrostatic waves in a relativistic magnetized plasma." Journal of Plasma Physics 56, no. 2 (October 1996): 193–207. http://dx.doi.org/10.1017/s0022377800019206.

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The momentum-space diffusion equation and the kinetic wave equation for resonant wave–wave scattering of electromagnetic and electrostatic waves in a relativistic magnetized plasma are derived from the relativistic Vlasov–Maxwell equations by perturbation theory. The p-dependent diffusion coefficient and the nonlinear wave—wave coupling coefficient are given in terms of third-order tensors which are amenable to analysis. The transport equations describing energy and momentum transfer between waves and particles are obtained by momentum-space integration of the momentum-space diffusion equation, and are expressed in terms of the nonlinear wave—wave coupling coefficient in the kinetic wave equation. The conservation laws for the total energy and momentum densities of waves and particles are verified from the kinetic wave equation and the transport equations. These equations are very useful for the theoretical analysis of transport phenomena or the acceleration and generation of high-energy or relativistic particles caused by quasi-linear and resonant wave—wave scattering processes.
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Chen, Cheng-Tsung, Jaw-Fang Lee, and Chun-Han Lo. "Mooring Drag Effects in Interaction Problems of Waves and Moored Underwater Floating Structures." Journal of Marine Science and Engineering 8, no. 3 (February 25, 2020): 146. http://dx.doi.org/10.3390/jmse8030146.

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In contrast to either considering structures with full degrees of freedom but with wave force on mooring lines neglected or with wave scattering and radiation neglected, in this paper, a new analytic solution is presented for wave interaction with moored structures of full degrees of freedom and with wave forces acting on mooring lines considered. The linear potential wave theory is applied to solve the wave problem. The wave fields are expressed as superposition of scattering and radiation waves. Wave forces acting on the mooring lines are calculated using the Morison equation with relative motions. A coupling formulation among water waves, underwater floating structure, and mooring lines are presented. The principle of energy conservation, as well as numerical results, are used to verify the present solution. With complete considerations of interactions among waves and moored structures, the characteristics of motions of the structure, the wave fields, and the wave forces acting on the mooring lines are investigated.
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Dissertations / Theses on the topic "Linear wave scattering"

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Jeyakumaran, R. "Some scattering and sloshing problems in linear water wave theory." Thesis, Brunel University, 1993. http://bura.brunel.ac.uk/handle/2438/5390.

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Using the method of matched asymptotic expansions the reflection and transmission coefficients are calculated for scattering of oblique water waves by a vertical barrier. Here an assumption is made that the barrier is small compared to the wavelength and the depth of water. A number of sloshing problems are considered. The eigenfrequencies are calculated when a body is placed in a rectangular tank. Here the bodies considered are a vertical surface-piercing or bottom-mounted barrier, and circular and elliptic cylinders. When the body is a vertical barrier, the eigenfunction expansion method is applied. When the body is either a circular or elliptic cylinder, and the motion is two-dimensional, the boundary element method is applied to calculate the eigenfrequencies. For comparison, two approximations, "a wide-spacing", and "a small-body" are used for a vertical barrier and circular cylinder. In the wide-spacing approximation, the assumption is made that the wavelength is small compared with the distance between the body and walls. The small-body approximation means that a typical dimension of the body is much larger than the cross-sectional length scale of the fluid motion. For an elliptic cylinder, the method of matched asymptotic expansions is used and compared with the result of the boundary- element method. Also a higher-order solution is obtained using the method of matched asymptotic expansions, and it is compared with the exact solution for a surface-piercing barrier. Again the assumption is made that the length scale of the motion is much larger than a typical body dimension. Finally, the drift force on multiple bodies is considered the ratio of horizontal drift force in the direction of wave advance on two cylinders to that on an isolated cylinder is calculated. The method of matched asymptotic expansions is used under the assumption that the wavelength is much greater than the cylinder spacing.
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Kent, William J. "Plane wave scattering by thin linear dielectric-coated wires and dielectric strips : a moment method approach with physical basis functions /." The Ohio State University, 1985. http://rave.ohiolink.edu/etdc/view?acc_num=osu148726053195675.

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Gaw, Stephen Michael. "Cooperative spin excitations in quantum materials studied by neutron spectroscopy." Thesis, University of Oxford, 2014. http://ora.ox.ac.uk/objects/uuid:c20676e1-b927-4ee5-a3fe-97f0f80cb141.

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This thesis describes the experimental investigation of three different strongly correlated transition-metal oxide systems. The magnetic behaviour of each has been probed using inelastic neutron spectroscopy. A distinctive hour-glass excitation spectrum has been observed in the layered cobaltate La1.75Sr0.25CoO4. This spectrum is similar to that measured in a related cobaltate La1.67Sr0.33CoO4, although it appears broader. The spectrum has been reproduced using a spin wave model derived from a disordered cluster spin glass ground state. Signatures of spin glass behaviour have also been observed in bulk magnetisation measurements of La1.75Sr0.25CoO4. These findings, once more, demonstrate the emergence of an hour-glass spectrum from a ground state that combines quasi-one dimensional magnetic correlations and disorder. Additionally, this study shows that charge and magnetic stripe order persists to lower dopings in La2-xSrxCoO4 than previously thought. The complete magnetic excitation spectrum of the multiferroic compound CuO has been measured for the first time. A high energy, one-dimensional magnetic spectrum is observed and modelled using the Muller ansatz derived for the S=1/2 Heisenberg antiferromagnetic chain. At lower energies, a three-dimension spectrum is observed. The measured spectrum is inconsistent with all previous theoretical estimates of the dominant inter-chain exchange interactions in CuO. The inter-chain dispersion is successfully described by a phenomenological model based on linear spin wave theory. The third material investigated, LuFe2O4 demonstrates complex charge and magnetic order, the precise nature of which is still under debate. The full spectrum of in-plane excitations in LuFe2O4 has been measured and a complicated dispersion consistent with six magnetic modes is observed. These findings are compatible with structures described by a magnetic unit cell containing six spins. The dispersion can be described by a spin wave model derived from a bilayer structure comprised of charge-rich and charge-poor monolayers. This structure is consistent with the original site-specific model for the 3D magnetic ordering in LuFe2O4.
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Lehner, Thierry. "Interaction quadratique onde-onde en plasma : battement d'ondes, couplage onde-fluctuations." Paris 6, 1987. http://www.theses.fr/1987PA066482.

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Lorsque les deux ondes se couplent en basse frequence, on obtient un effet de pression de radiation ou lieu de force ponderomotrice. Ces notions sont etudiees dans un plasma magnetise ou non, ainsi que le cas ou la force ponderomotrice depend lentement du temps. On envisage deux applications : on etudie, a l'aide d'un double blanc microonde la generation d'une resonance par battement d'ondes, avec une detection sensible au transfert d'action. On considere la possibilite de diagnostic du plasma magnetise par optique non lineaire. L'analyse de la polarisation d'une onde diffusee par des fluctuations electromagnetiques est enfin traitee
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Pham, Truong Xuan. "Peeling et scattering conforme dans les espaces-temps de la relativité générale." Thesis, Brest, 2017. http://www.theses.fr/2017BRES0034/document.

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Nous étudions l’analyse asymptotique en relativité générale sous deux aspects: le peeling et le scattering (diffusion) conforme. Le peeling est construit pour les champs scalaires linéaire et non-linéaires et pour les champs de Dirac en espace-temps de Kerr (qui est non-stationnaire et à symétrie simplement axiale), généralisant les travaux de L. Mason et J-P. Nicolas (2009, 2012). La méthode des champs de vecteurs (estimations d’énergie géométriques) et la technique de compactification conforme sont développées. Elles nous permettent de formuler les définitions du peeling à tous ordres et d’obtenir les données initiales optimales qui assurent ces comportements. Une théorie de la diffusion conforme pour les équations de champs sans masse de spîn n/2 dans l’espace-temps de Minkowski est construite.En effectuant les compactifications conformes (complète et partielle), l’espace-temps est complété en ajoutant une frontière constituée de deux hypersurfaces isotropes représentant respectivement les points limites passés et futurs des géodésiques de type lumière. Le comportement asymptotique des champs s’obtient en résolvant le problème de Cauchy pour l’équation rééchelonnée et en considérant les traces des solutions sur ces bords. L’inversibilité des opérateurs de trace, qui associent le comportement asymptotique passé ou futur aux données initiales, s’obtient en résolvant le problème de Goursat sur le bord conforme. L’opérateur de diffusion conforme est alors obtenu par composition de l’opérateur de trace futur avec l’inverse de l’opérateur de trace passé
This work explores two aspects of asymptotic analysis in general relativity: peeling and conformal scattering.On the one hand, the peeling is constructed for linear and nonlinear scalar fields as well as Dirac fields on Kerr spacetime, which is non-stationary and merely axially symmetric. This generalizes the work of L. Mason and J-P. Nicolas (2009, 2012). The vector field method (geometric energy estimates) and the conformal technique are developed. They allow us to formulate the definition of the peeling at all orders and to obtain the optimal space of initial data which guarantees these behaviours. On the other hand, a conformal scattering theory for the spin-n/2 zero rest-mass equations on Minkowski spacetime is constructed. Using the conformal compactifications (full and partial), the spacetime is completed with two null hypersurfaces representing respectively the past and future end points of null geodesics. The asymptotic behaviour of fields is then obtained by solving the Cauchy problem for the rescaled equation and considering the traces of the solutions on these hypersurfaces. The invertibility of the trace operators, that to the initial data associate the future or past asymptotic behaviours, is obtained by solving the Goursat problem on the conformal boundary. The conformal scattering operator is then obtained by composing the future trace operator with the inverse of the past trace operator
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Watson, Francis Maurice. "Better imaging for landmine detection : an exploration of 3D full-wave inversion for ground-penetrating radar." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/better-imaging-for-landmine-detection-an-exploration-of-3d-fullwave-inversion-for-groundpenetrating-radar(720bab5f-03a7-4531-9a56-7121609b3ef0).html.

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Humanitarian clearance of minefields is most often carried out by hand, conventionally using a a metal detector and a probe. Detection is a very slow process, as every piece of detected metal must treated as if it were a landmine and carefully probed and excavated, while many of them are not. The process can be safely sped up by use of Ground-Penetrating Radar (GPR) to image the subsurface, to verify metal detection results and safely ignore any objects which could not possibly be a landmine. In this thesis, we explore the possibility of using Full Wave Inversion (FWI) to improve GPR imaging for landmine detection. Posing the imaging task as FWI means solving the large-scale, non-linear and ill-posed optimisation problem of determining the physical parameters of the subsurface (such as electrical permittivity) which would best reproduce the data. This thesis begins by giving an overview of all the mathematical and implementational aspects of FWI, so as to provide an informative text for both mathematicians (perhaps already familiar with other inverse problems) wanting to contribute to the mine detection problem, as well as a wider engineering audience (perhaps already working on GPR or mine detection) interested in the mathematical study of inverse problems and FWI.We present the first numerical 3D FWI results for GPR, and consider only surface measurements from small-scale arrays as these are suitable for our application. The FWI problem requires an accurate forward model to simulate GPR data, for which we use a hybrid finite-element boundary-integral solver utilising first order curl-conforming N\'d\'{e}lec (edge) elements. We present a novel `line search' type algorithm which prioritises inversion of some target parameters in a region of interest (ROI), with the update outside of the area defined implicitly as a function of the target parameters. This is particularly applicable to the mine detection problem, in which we wish to know more about some detected metallic objects, but are not interested in the surrounding medium. We may need to resolve the surrounding area though, in order to account for the target being obscured and multiple scattering in a highly cluttered subsurface. We focus particularly on spatial sensitivity of the inverse problem, using both a singular value decomposition to analyse the Jacobian matrix, as well as an asymptotic expansion involving polarization tensors describing the perturbation of electric field due to small objects. The latter allows us to extend the current theory of sensitivity in for acoustic FWI, based on the Born approximation, to better understand how polarization plays a role in the 3D electromagnetic inverse problem. Based on this asymptotic approximation, we derive a novel approximation to the diagonals of the Hessian matrix which can be used to pre-condition the GPR FWI problem.
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Lafontaine, David. "Effets dispersifs et asymptotique en temps long d'équations d'ondes dans des domaines extérieurs." Thesis, Université Côte d'Azur (ComUE), 2018. http://www.theses.fr/2018AZUR4067/document.

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L'objet de cette thèse est l'étude des équations de Schrödinger et des ondes, à la fois linéaires et non linéaires, dans des domaines extérieurs. Nous nous intéressons en particulier aux inégalités dites de Strichartz, qui sont une famille d'estimations dispersives mesurant la décroissance du flot linéaire, particulièrement utiles à l'étude des problèmes non linéaires correspondants. Dans des géométries dites non-captantes, c'est à dire où tous les rayons de l'optique géométrique partent à l'infini, de nombreux résultats montrent que de telles estimations sont aussi bonnes que dans l'espace libre. D'autre part, la présence d'une trajectoire captive induit nécessairement une perte au niveau d'une autre famille d'estimations à priori, les estimations d'effet régularisant et de décroissance locale de l'énergie, respectivement pour Schrödinger et pour les ondes. En contraste de quoi, nous montrons des estimations de Strichartz sans perte dans une géométrie captante instable : l'extérieur de plusieurs obstacles strictement convexes vérifiant la condition d'Ikawa. La seconde partie de cette thèse est dédiée à l'étude du comportement en temps long des équations non-linéaires sous-jacentes. Lorsque le domaine dans lequel elles vivent n'induit pas trop de concentration de l'énergie, on s'attend à ce qu'elles diffusent, c'est à dire se comportent de manière linéaire asymptotiquement en temps. Nous montrons un tel résultat pour les ondes non linéaires critiques à l'extérieur d'une classe d'obstacles généralisant la notion d'étoilé. A l'extérieur de deux obstacles strictement convexes, nous obtenons un résultat de rigidité concernant les solutions à flot compact, premier pas vers un résultat général. Enfin, nous nous intéressons à l'équation de Schrödinger non linéaire, dans l'espace libre, mais avec un potentiel. Nous montrons que les solutions diffusent si l'on prend un potentiel répulsif, ainsi qu'une somme de deux potentiels répulsifs ayant des surfaces de niveau convexes, ce qui fournit un exemple de diffusion dans une géométrie captante analogue à l'extérieur de deux convexes stricts
We are concerned with Schrödinger and wave equations, both linear and non linear, in exterior domains. In particular, we are interested in the so-called Strichartz estimates, which are a family of dispersive estimates measuring decay for the linear flow. They turn out to be particularly useful in order to study the corresponding non linear equations. In non-captive geometries, where all the rays of geometrical optics go to infinity, many results show that Strichartz estimates hold with no loss with respect to the flat case. Moreover, the local smoothing estimates for the Schrödinger equation, respectively the local energy decay for the wave equation, which are another family of dispersive estimates, are known to fail in any captive geometry. In contrast, we show Strichartz estimates without loss in an unstable captive geometry: the exterior of many strictly convex obstacles verifying Ikawa's condition. The second part of this thesis is dedicated to the study of the long time asymptotics of the corresponding non linear equations. We expect that they behave linearly in large times, or scatter, when the domain they live in does not induce too much concentration effect. We show such a result for the non linear critical wave equation in the exterior of a class of obstacles generalizing star-shaped bodies. In the exterior of two strictly convex obstacles, we obtain a rigidity result concerning compact flow solutions, which is a first step toward a general result. Finally, we consider the non linear Schrödinger equation in the free space but with a potential. We prove that solutions scatter for a repulsive potential, and for a sum of two repulsive potentials with strictly convex level surfaces. This provides a scattering result in a framework similar to the exterior of two strictly convex obstacles
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Boyle, Jonathan William. "Observation of linear and nonlinear magnetostatic waves by Brillouin light scattering." Thesis, University of Salford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.262623.

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Marconi, Jorge Diego. "Estudo de amplificadores paramétricos para sistemas de comunicações ópticas de altas taxas de transmissão." [s.n.], 2006. http://repositorio.unicamp.br/jspui/handle/REPOSIP/277933.

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Orientador: Hugo Luis Fragnito
Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Fisica Gleb Wataghin
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Resumo: Esta tese apresenta um estudo teórico e experimental sobre Amplificadores Paramétricos a Fibra Óptica. Mostramos primeiramente a potencialidade do amplificador em termos de largura de banda plana, necessária para aplicações em sistemas WDM. Foram desenvolvidas equações do ripple para os diferentes tipos de espectro de alto ganho possíveis. Usando fibras de dispersão deslocada e fibras altamente não-lineares curtas, construímos amplificadores de dois bombeios com uma banda plana de amplificação de 52 nm e 84 nm, respectivamente. Em ambos os casos, a banda obtida foi comparável à obtida com outras tecnologias como Érbio ou Raman. Pesquisamos também o crosstalk entre canais em amplificadores paramétricos. Mostramos como as variações de ë 0 ao longo da fibra aumentam o crosstalk, pois se incrementam os processos de mistura de quatro ondas espúrios. Em amplificadores de dois bombeios, obtivemos os melhores resultados para aplicações WDM com fibras curtas (L ~ 0.8 km). Finalmente, a partir da análise da penalidade do fator de mérito Q do sinal, estudamos como os efeitos da modulação de fase do/s laser/s de bombeio, necessária para suprimir o espalhamento Brillouin estimulado, são prejudiciais para a performance destes amplificadores. Com base nesse resultado, procuramos eliminar o espalhamento Brillouin com um método alternativo que consiste na aplicação de distribuições de deformação mecânica ao longo da fibra. Obtivemos um aumento de 10.7 dB em 285 m de fibra altamente não-linear, o que é da ordem dos valores obtidos modulando a fase do/s bombeio/s. Aplicamos a técnica em dispositivos paramétricos obtendo um conversor de comprimento de onda com um sinal convertido de largura de banda estreito, sintonizável ao longo de 70 nm de comprimento de onda do sinal de entrada
Abstract: This thesis presents a theoretical and experimental study on fiber optics parametric amplifiers. For the double-pumped case, we show the performance of the amplifier in terms of spectral bandwidth and gain uniformity, both fundamental properties for WDM applications. By using short dispersion shifted fibers and highly non-linear fibers, we made parametric amplifiers with 52 and 84 nm of flat bandwidth, respectively. In both cases, the bandwidth is similar to the one obtained with optical amplifiers based on other technologies such as doped fibers, Raman gain or semiconductors. We also deduced equations of the gain ripple for all the possible types of high gain spectra. We also investigated the inter-channel crosstalk in parametric amplifiers. We showed that the variations of the zero dispersion wavelength along the fiber increase the crosstalk because those variations enhances the spurious four wave mixing tones. Finally, the degradation of the signal quality factor (Q) was studied for both, single and double-pumped parametric amplifiers. We showed that the phase modulation applied to the pump lasers to suppress the stimulated Brillouin backscattering can strongly degrade the performance of the amplifier. One alternative technique that we developed was based on applying different mechanical stress distributions along the fiber length. We experimentally demonstrated, using 285 m of highly non-linear fibers, that the backscattering threshold can be increased by 10.7 dB. This value is similar to that obtained using the phase modulation schema. The method was successfully applied to parametric devices. In particular we made a narrow linewidth wavelength converter with 70 nm of signal tuning band
Doutorado
Física
Doutor em Ciências
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Ferrier, Jean-Louis. "Contribution à l'étude de la conjugaison de phase, en régime d'excitation picoseconde, dans les milieux liquides et cristallins : faisabilité, caractérisation et applications." Angers, 1986. http://www.theses.fr/1986ANGE0003.

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Par l'utilisation de lasers de puissance de type picoseconde (longueur d'onde 532 nm, durée 25ps) dans des milieux liquides et cristallins, nous avons apporté notre contribution a : - l'aspect faisabilité de la conjugaison de phase en picoseconde, -l'évaluation du comportement transitoire ou pas des phénomènes, - des applications particulières a ce domaine. Nous avons caractérisé et étudie par voie expérimentale et théorique différents paramètres entrant en jeu dans les deux types d'expériences susceptibles de produire la conjugaison de phase- mélange quatre ondes et rétrodiffusions stimulées- en vue d'applications de type temporel ou imagerie, dans les liquides (principalement sulfure de carbone et benzène). Le comportement en excitation picoseconde des matériaux photoréfractifs (oxyde de bismuth silicium et niobate de lithium) a été étudié par des expériences de mélange quatre ondes et mélange deux ondes. Il ressort des principaux résultats -expérimentaux et théoriques- que certains sont propre au régime d'excitation picoseconde alors que d'autres sont d'ordre général et indépendants du régime temporel d'excitation.
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Books on the topic "Linear wave scattering"

1

Jeyakumaran, R. Some scattering and sloshing problems in linear water wave theory. Uxbridge: Brunel University, 1993.

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Zingg, D. W. A review of high-order and optimized finite-difference methods for simulating linear wave phenomena. [Moffett Field, Calif.]: Research Institute for Advanced Computer Science, NASA Ames Research Center, 1996.

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Zingg, D. W. A review of high-order and optimized finite-difference methods for simulating linear wave phenomena. [Moffett Field, Calif.]: Research Institute for Advanced Computer Science, NASA Ames Research Center, 1996.

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Zingg, D. W. A review of high-order and optimized finite-difference methods for simulating linear wave phenomena. [Moffett Field, Calif.]: Research Institute for Advanced Computer Science, NASA Ames Research Center, 1996.

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Lectures on linear partial differential equations. Providence, R.I: American Mathematical Society, 2011.

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6

Boyle, Jonathan William. Observation of linear and nonlinear magnetostatic waves by Brillouin light scattering. Salford: University of Salford, 1995.

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1943-, Colton David L., and Monk Peter 1956-, eds. The linear sampling method in inverse electromagnetic scattering. Philadelphia: Society for Industrial and Applied Mathematics, 2011.

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Dzhamay, Anton, Christopher W. Curtis, Willy A. Hereman, and B. Prinari. Nonlinear wave equations: Analytic and computational techniques : AMS Special Session, Nonlinear Waves and Integrable Systems : April 13-14, 2013, University of Colorado, Boulder, CO. Providence, Rhode Island: American Mathematical Society, 2015.

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B, Weglein Arthur, ed. Seismic imaging and inversion: Application of linear inverse theory. Cambridge: Cambridge University Press, 2012.

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Reed, Michael. Abstract Non Linear Wave Equations. Springer London, Limited, 2006.

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Book chapters on the topic "Linear wave scattering"

1

Wiskin, J., D. T. Borup, S. A. Johnson, M. Berggren, T. Abbott, and R. Hanover. "Full-Wave, Non-Linear, Inverse Scattering." In Acoustical Imaging, 183–93. Dordrecht: Springer Netherlands, 2007. http://dx.doi.org/10.1007/1-4020-5721-0_20.

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Collino, Francis, M’Barek Fares, and Houssem Haddar. "On the Validation of the Linear Sampling Method in Electromagnetic Inverse Scattering Problems." In Mathematical and Numerical Aspects of Wave Propagation WAVES 2003, 649–54. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55856-6_105.

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Deutsch, W. A. K., A. Cheng, and J. D. Achenbach. "Wave Scattering from Surface-Breaking Cracks Sonified by a Linear Phased Array." In Review of Progress in Quantitative Nondestructive Evaluation, 71–78. Boston, MA: Springer US, 1999. http://dx.doi.org/10.1007/978-1-4615-4791-4_8.

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Tsytovich, Vadim N. "Stimulated Scattering of Waves by Particles." In Lectures on Non-linear Plasma Kinetics, 137–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-78902-1_6.

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Aimi, Alessandra, Mauro Diligenti, and Chiara Guardasoni. "Energetic BEM for the Numerical Solution of 2D Hard Scattering Problems of Damped Waves by Open Arcs." In Structured Matrices in Numerical Linear Algebra, 267–83. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-04088-8_14.

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Logvin, Aleksander I., and Anatolij I. Kozlov. "Formulation of Scattering Matrix for Electromagnetic Waves under Non-Linear Transformation: Non-Linear Oxidized Metal Junction Higher Harmonics Reradiation Effects." In Direct and Inverse Methods in Radar Polarimetry, 1057–64. Dordrecht: Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-010-9243-2_46.

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Kozlov A. I., Logvin A. I., Sarychev V. A., Shatrakov Y. G., and Zavalishin O. I. "Enhancing Radar Station Functionalities to Delineate Linear Dimensions of Extended Visual Targets for Incoherent Scattering of Electromagnetic Waves." In Springer Aerospace Technology, 333–40. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-8395-3_11.

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Kozlov A. I., Logvin A. I., Sarychev V. A., Shatrakov Y. G., and Zavalishin O. I. "Enhancing Radar Station Functionalities to Delineate and Estimate Linear Dimensions of Extended Visual Targets for Coherent Scattering of Electromagnetic Waves." In Springer Aerospace Technology, 341–62. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-8395-3_12.

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Adam, John A. "Scattering of Surface Gravity Waves by Islands, Reefs, and Barriers." In Rays, Waves, and Scattering. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691148373.003.0017.

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This chapter focuses on the scattering of surface gravity waves by islands, reefs, and barriers. Surface gravity waves that propagate from the deep ocean to coastal regions may be strongly amplified by reflection, refraction, diffraction, and shoaling due to variation in water depth. Analytical solutions provide an attractive approach to studies on wave scattering, but they are obtainable for only special topographies and simple governing equations. The chapter considers long surface gravity waves (linear shallow water waves) such that the depth of the water is much greater than the vertical free surface displacement and the wavelength is much larger than the depth. The fluid equations are derived directly for the present context. The discussion covers trapped waves, the scattering or S-matrix, submerged circular islands, edge waves on a sloping beach, one-dimensional edge waves on a constant slope, and wave amplication by a sloping beach.
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Roach, G. F. "More about wave operators." In An introduction to linear and nonlinear scattering theory, 169–82. Routledge, 2017. http://dx.doi.org/10.1201/9781315137254-6.

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Conference papers on the topic "Linear wave scattering"

1

Kim, J. W., R. C. Ertekin, and K. J. Bai. "Linear and Non-Linear Wave Models Based on Hamilton’s Principle and Stream-Function Theory: CMSE and IGN." In ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2007. http://dx.doi.org/10.1115/omae2007-29747.

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Recently, two wave models based on the stream-function theory have been derived from Hamilton’s principle for gravity waves. One is the Irrotational Green-Naghdi (IGN) equation and the other is the Complementary Mild-Slope Equation (CMSE). The IGN equation has been derived to describe refraction and diffraction of nonlinear gravity waves in the time domain and in water of finite but arbitrary bathymetry. The CMSE has been derived to consider the same problem in the (linear) frequency domain. In this paper, we first describe the discuss the two models from the viewpoint of Hamilton’s principle. Then the two models are applied to a resonant scattering of Stokes waves over periodic undulations, or the Bragg scattering problem. The numerical results are compared with existing numerical predictions and experimental data. It is found here that Level 3 IGN equation can describe Bragg scattering well for arbitrary bathymetry.
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Zang, J., R. Gibson, P. H. Taylor, R. Eatock Taylor, and C. Swan. "Non-Linear Wave Diffraction Around a Moored Ship." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51589.

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The objective of this research, part of the FP5 REBASDO Programme, is to examine the effects of directional wave spreading on the nonlinear hydrodynamic loads and the wave run-up around the bow of a floating vessel (FPSO) in random seas. In this work, the non-linear wave scattering problem is solved by employing a quadratic boundary element method. An existing scheme (DIFFRACT developed in Oxford) has been extended to deal with uni-directional and directional bi-chromatic input wave systems, calculating second-order wave diffraction under regular waves and focused wave groups. The second order wave interaction with a floating vessel in a unidirectional focused wave group is presented in this paper. Comparison of numerical results and the experimental measurements conducted at Imperial College shows excellent agreement. The second-order free surface components at the bow of the ship are very significant, and cannot be neglected if one requires accurate prediction of the wave-structure interaction; otherwise a major underestimation of the wave impact on the structure could occur.
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Swan, Chris, Stephen Masterton, Rizwan Sheikh, and Alessandra Cavalletti. "Wave Forcing and Wave Scattering From a Vertical Surface-Piercing Cylinder." In ASME 2005 24th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2005. http://dx.doi.org/10.1115/omae2005-67158.

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This paper concerns the nonlinear, higher-harmonic, wave-forces acting on a vertical surface-piercing cylinder. New laboratory data is presented which confirms that in the case a vertical cylinder, the diameter of which is large but not sufficiently large that the body lies within the linear diffraction regime, the second- and third-harmonic forces are not well described by existing models. This is particularly apparent when the incident waves are steep and have a relatively small wave period. Indeed, under these conditions the second-, third- and fourth-harmonic forces are shown to be comparable in size. This is clearly at odds with the results of a traditional perturbation expansion. An explanation for this lies in the nature of the scattered wave field, particularly the high-frequency waves identified by Sheikh & Swan [1]. The phasing of these scattered waves are, at least in part, dependent upon the motion of the fluid around the circumference of the cylinder and will not therefore be captured by a series solution based solely on the harmonics of the incident wave motion. The paper considers several test cases, fully exploring the correlation between the nonlinear forcing and the high-frequency scattering. The practical implications of these results are also addressed.
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Wang, Guoyu, and Yongxue Wang. "Wave Scattering From Multiple Horizontal Plates as a Breakwater." In ASME 2009 28th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/omae2009-79276.

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The multiple horizontal plates breakwater is proposed in this article, which mainly consists of several horizontal plates. The regular wave test results demonstrate that it has good performance of dissipating waves. Based on the linear potential wave theory, the scattering of waves normally incident on the multiple horizontal plates in a channel of finite water depth is investigated. The velocity potential is split to the symmetric and antisymmetric part, and the method of eigenfunction expansions is used to obtain the unknown constant coefficients determined from the matching conditions. The thickness of the plates is considered in the theoretical analysis. The present solution is compared with the existing theoretical, numerical and experimental results with good agreements. The parameters such as the relative water depth, relative plate width, relative plate thickness and number of plates, those identified with the performance of the breakwater are investigated and discussed. The variation of reflection and transmission coefficients alone with the above mentioned parameters are also presented.
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Golato, Andrew, Sridhar Santhanam, Fauzia Ahmad, and Moeness G. Amin. "Scattering of Lamb Waves by a Cylindrical Mass Attached to the Surface of a Plate." In ASME 2016 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/smasis2016-9008.

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Defect classification is the logical next step after localization in a Lamb wave based Guided Wave Structural Health Monitoring (GWSHM) defect detection scheme. Lamb waves are a preferred wave mode in GWSHM; therefore, classification can be facilitated via understanding of the Lamb wave scattering characteristics of defects. Many defects can be modeled either as (part-) through holes or accumulated masses on the surface. We consider and analytically solve the scenario of an attached mass on the surface of a plate. The mass is treated as an elastic isotropic homogeneous cylinder and the scattering response is obtained for incident fundamental symmetric and antisymmetric waves. Propagation is modeled via Mindlin plate theory, utilizing infinite series of Bessel functions as potential functions. Boundary and continuity conditions provide a linear system of equations for the expansion coefficients of the potential functions, which, solved numerically, produce the scattering response of the defect.
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Qureshi, Pierce C., Vincent Ng, Farhan Azeem, Luke S. Trainor, Harald G. L. Schwefel, Stephane Coen, Miro Erkintalo, and Stuart G. Murdoch. "Nonlinear Scattering of Dissipative Solitons in a Kerr Microresonator." In CLEO: QELS_Fundamental Science. Washington, D.C.: Optica Publishing Group, 2022. http://dx.doi.org/10.1364/cleo_qels.2022.fw1b.3.

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We show that nonlinear scattering between a linear wave and a soliton in a Kerr microresonator generates an idler comb at a frequency determined by the linear wave detuning, allowing for spectral manipulation of the soliton comb.
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Chen, Tianrun, Michael Fehler, Xinding Fang, Xuefeng Shang, and Dan Burns. "SH wave scattering from fractures using boundary element method with linear slip boundary condition." In SEG Technical Program Expanded Abstracts 2011. Society of Exploration Geophysicists, 2011. http://dx.doi.org/10.1190/1.3627802.

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Nakagawa, Seiji, and Larry R. Myer. "Fracture permeability and seismic wave scattering—Poroelastic linear‐slip interface model for heterogeneous fractures." In SEG Technical Program Expanded Abstracts 2009. Society of Exploration Geophysicists, 2009. http://dx.doi.org/10.1190/1.3255581.

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Sheikh, Rizwan, and Chris Swan. "The Interaction Between Steep Waves and a Vertical, Surface-Piercing Column." In ASME 2003 22nd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2003. http://dx.doi.org/10.1115/omae2003-37154.

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The paper describes new laboratory observations concerning the interaction between a series of steep incident waves and a vertical, surface-piercing, column. The motivation for the study arose as a result of wave impact damage sustained to the undersides of several concrete gravity-based structures in the northern North Sea. Earlier work, Swan et al. [1], demonstrated that in the case of multiple column structures, the individual diameters of which lie outside the typical (linear) diffraction regime, there exists a new and previously unexpected mechanism leading to the scattering of high-frequency waves. Although the implications of this effect was carefully documented, not least because it explained the occurrence of wave impacts in relatively moderate seas, its physical origins remained unclear. In particular, it was uncertain whether this type of scattering would be observed in the case of a single column, or whether it results from the transmission of wave modes trapped between the legs of a multiple column structure. In the case of a single column, if the diameter, D, is such that the flow lies within the drag-inertia regime, D/λ < 0.2, where λ is the corresponding wavelength, linear diffraction theory suggests there will be little or no scattered wave energy. The present laboratory observations demonstrate that this is not, in fact, the case. If the incident waves are steep, a strong and apparently localised interaction is clearly observed at the water surface. This, in turn, leads to the scattering of high-frequency waves. Although these waves are relatively small in amplitude, their subsequent interaction with other steep incident waves takes the form of a classic long-wave short-wave interaction and can produce a significant increase in the maximum crest elevation relative to those recorded in the absence of the structure. The present paper will demonstrate that the scattering of these high-frequency waves, and their subsequent nonlinear interaction with other incident waves, has significant implications for the specification of an effective air-gap and hence for the setting of deck elevations.
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Arzoumanian, Sevag, and Nigel Peake. "Fluid Structure Interaction With Mean Flow: Over-Scattering and Unstable Resonance Growth." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-31170.

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It is known theoretically [1–3] that infinitely long fluid loaded plates in mean flow exhibit a range of unusual phenomena in the ‘long time’ limit. These include convective instability, absolute instability and negative energy waves which are destabilized by dissipation. However, structures are necessarily of finite length and may have discontinuities. Moreover, linear instability waves can only grow over a limited number of cycles before non-linear effects become dominant. We have undertaken an analytical and computational study to investigate the response of finite, discontinuous plates to ascertain if these unusual effects might be realized in practice. Analytically, we take a “wave scattering” [2,4] — as opposed to a “modal superposition” [5] — view of the fluttering plate problem. First, we solve for the scattering coefficients of localized plate discontinuities and identify a range of parameter space, well outside the convective instability regime, where over-scattering or amplified reflection/transmission occurs. These are scattering processes that draw energy from the mean flow into the plate. Next, we use the Wiener-Hopf technique to solve for the scattering coefficients from the leading and trailing edges of a baffled plate. Finally, we construct the response of a finite, baffled plate by a superposition of infinite plate propagating waves continuously scattering off the plate ends and solve for the unstable resonance frequencies and temporal growth rates for long plates. We present a comparison between our computational results and the infinite plate theory. In particular, the resonance response of a moderately sized plate is shown to be in excellent agreement with our long plate analytical predictions.
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Reports on the topic "Linear wave scattering"

1

Lavery, Andone C. Analysis of High-Frequency Broadband Acoustic Scattering from Non-Linear Internal Waves During SW06. Fort Belvoir, VA: Defense Technical Information Center, September 2009. http://dx.doi.org/10.21236/ada531378.

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Lavery, Andone C. Continued Analysis of High-Frequency Broadband Acoustic Scattering from Non-Linear Internal Waves during SW06. Fort Belvoir, VA: Defense Technical Information Center, September 2010. http://dx.doi.org/10.21236/ada542102.

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Lavery, Andone C. High-Frequency Broadband Acoustic Scattering from Temperature and Salinity Microstructure: From Non-Linear Internal Waves to Estuarine Plumes. Fort Belvoir, VA: Defense Technical Information Center, September 2007. http://dx.doi.org/10.21236/ada541144.

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Lavery, Andone C. Laboratory Measurements of Multi-Frequency and Broadband Acoustic Scattering from Turbulent and Double-Diffusive Microstructure. High-Frequency Broadband Acoustic Scattering from Non-Linear Internal Waves during SW06. Fort Belvoir, VA: Defense Technical Information Center, May 2010. http://dx.doi.org/10.21236/ada521009.

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