Academic literature on the topic 'Time-Harmonic scattering'

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Journal articles on the topic "Time-Harmonic scattering":

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Colton, David, and Rainer Kress. "Time harmonic electromagnetic waves in an inhomogeneous medium." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 116, no. 3-4 (1990): 279–93. http://dx.doi.org/10.1017/s0308210500031516.

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SynopsisWe consider the scattering of time harmonic electromagnetic waves by an inhomogeneous medium of compact support, i.e. the permittivity ε = ε(x) and the conductivity σ = σ(x) are functions of x ∊ ℝ3. Existence, uniqueness and regularity results are established for the direct scattering problem. Then, based on existence and uniqueness results for the exterior and interior impedance boundary value problem, a method is presented for solving the inverse scattering problem.
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Dassios, G., and K. S. Karadima. "Time harmonic acoustic scattering in anisotropic media." Mathematical Methods in the Applied Sciences 28, no. 12 (2005): 1383–401. http://dx.doi.org/10.1002/mma.609.

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Spence, E. A. "Wavenumber-Explicit Bounds in Time-Harmonic Acoustic Scattering." SIAM Journal on Mathematical Analysis 46, no. 4 (January 2014): 2987–3024. http://dx.doi.org/10.1137/130932855.

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Kress, Rainer. "Boundary integral equations in time-harmonic acoustic scattering." Mathematical and Computer Modelling 15, no. 3-5 (1991): 229–43. http://dx.doi.org/10.1016/0895-7177(91)90068-i.

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Chandler-Wilde, Simon N., and Peter Monk. "Wave-Number-Explicit Bounds in Time-Harmonic Scattering." SIAM Journal on Mathematical Analysis 39, no. 5 (January 2008): 1428–55. http://dx.doi.org/10.1137/060662575.

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Ishida, Atsuhide, and Masaki Kawamoto. "Critical scattering in a time-dependent harmonic oscillator." Journal of Mathematical Analysis and Applications 492, no. 2 (December 2020): 124475. http://dx.doi.org/10.1016/j.jmaa.2020.124475.

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Shao, Yang, Zhen Peng, Kheng Hwee Lim, and Jin-Fa Lee. "Non-conformal domain decomposition methods for time-harmonic Maxwell equations." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2145 (April 4, 2012): 2433–60. http://dx.doi.org/10.1098/rspa.2012.0028.

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We review non-conformal domain decomposition methods (DDMs) and their applications in solving electrically large and multi-scale electromagnetic (EM) radiation and scattering problems. In particular, a finite-element DDM, together with a finite-element tearing and interconnecting (FETI)-like algorithm, incorporating Robin transmission conditions and an edge corner penalty term , are discussed in detail. We address in full the formulations, and subsequently, their applications to problems with significant amounts of repetitions. The non-conformal DDM approach has also been extended into surface integral equation methods. We elucidate a non-conformal integral equation domain decomposition method and a generalized combined field integral equation method for modelling EM wave scattering from non-penetrable and penetrable targets, respectively. Moreover, a plane wave scattering from a composite mockup fighter jet has been simulated using the newly developed multi-solver domain decomposition method.
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Hu, Guanghui, Wangtao Lu, and Andreas Rathsfeld. "Time-Harmonic Acoustic Scattering from Locally Perturbed Periodic Curves." SIAM Journal on Applied Mathematics 81, no. 6 (January 2021): 2569–95. http://dx.doi.org/10.1137/19m1301679.

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Bao, Gang, Guanghui Hu, and Tao Yin. "Time-Harmonic Acoustic Scattering from Locally Perturbed Half-Planes." SIAM Journal on Applied Mathematics 78, no. 5 (January 2018): 2672–91. http://dx.doi.org/10.1137/18m1164068.

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Zhang, Cheng, Jin Yang, Liu Xi Yang, Jun Chen Ke, Ming Zheng Chen, Wen Kang Cao, Mao Chen, et al. "Convolution operations on time-domain digital coding metasurface for beam manipulations of harmonics." Nanophotonics 9, no. 9 (February 18, 2020): 2771–81. http://dx.doi.org/10.1515/nanoph-2019-0538.

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AbstractTime-domain digital coding metasurfaces have been proposed recently to achieve efficient frequency conversion and harmonic control simultaneously; they show considerable potential for a broad range of electromagnetic applications such as wireless communications. However, achieving flexible and continuous harmonic wavefront control remains an urgent problem. To address this problem, we present Fourier operations on a time-domain digital coding metasurface and propose a principle of nonlinear scattering-pattern shift using a convolution theorem that facilitates the steering of scattering patterns of harmonics to arbitrarily predesigned directions. Introducing a time-delay gradient into a time-domain digital coding metasurface allows us to successfully deviate anomalous single-beam scattering in any direction, and thus, the corresponding formula for the calculation of the scattering angle can be derived. We expect this work to pave the way for controlling energy radiations of harmonics by combining a nonlinear convolution theorem with a time-domain digital coding metasurface, thereby achieving more efficient control of electromagnetic waves.

Dissertations / Theses on the topic "Time-Harmonic scattering":

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Cramer, Elena [Verfasser], and A. [Akademischer Betreuer] Kirsch. "Scattering of time-harmonic electromagnetic waves involving perfectly conducting and conductive transmission conditions / Elena Cramer ; Betreuer: A. Kirsch." Karlsruhe : KIT-Bibliothek, 2019. http://d-nb.info/1200470915/34.

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Sharifian, Gh Mohammad. "Adsorption and Transport of Drug-Like Molecules at the Membrane of Living Cells Studied by Time-Resolved Second-Harmonic Light Scattering." Diss., Temple University Libraries, 2018. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/524558.

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Chemistry
Ph.D.
Understanding molecular interactions at the surfaces of cellular membranes, including adsorption and transport, is of fundamental importance in both biological and pharmaceutical studies. At present, particularly with respect to small and medium size (drug-like) molecules, it is desirable to gain an understanding of the mechanisms that govern membrane adsorption and transport. To characterize drug-membrane interactions and mechanisms governing the process of molecular uptake at cellular membranes in living organisms, we need to develop effective experimental techniques to reach quantitative and time-resolved analysis of molecules at the membrane surfaces. Also, we preferably want to develop label-free optical techniques suited for single-cell and live cell analysis. Here, I discuss the nonlinear optical technique, second-harmonic light scattering (SHS), for studying molecule-membrane interactions and transport of molecules at the membrane of living cells with real-time resolution and membrane surface-specificity. Time-resolved SHS can quantify adsorption and transport of molecules, with specific nonlinear optical properties, at living organisms without imposing any mechanical stress onto the membrane. This label-free and surface-sensitive technique can even differentiate molecular transport at individual membranes within a multi-membrane cell (e.g., bacteria). In this dissertation, I present our current research and accomplishments in extending the capabilities of the SHS technique to study molecular uptake kinetics at the membranes of living cells, to monitor bacteria membrane integrity, to characterize the antibacterial mechanism-of-action of antibiotic compounds, to update the molecular mechanism of the Gram-stain protocol, to pixel-wise mapping of the membrane viscosity of the living cells, and to probe drug-induced activation of bacterial mechanosensitive channels in vitro.
Temple University--Theses
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MORTATI, LEONARDO MICHAEL. "Coherent Anti-Stokes Raman Scattering, Second Harmonic Generation and Two-Photon Excitation Fluorescence Multimodal Microscope: Realization, Metrological Characterization and Applications in Regenerative Medicine." Doctoral thesis, Politecnico di Torino, 2013. http://hdl.handle.net/11583/2509905.

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In the frame of the research in biology and in particular in regenerative medicine, it is widely requested the ability to perform measurements that have a low impact on the observed biological systems. Many measurements imply sample modifications and also sample fixation avoiding living samples measurements. In this doctoral thesis it is presented the realization of an advanced optical multimodal microscope that integrates coherent anti-Stokes Raman scattering, second harmonic generation and two-photon excitation fluorescence techniques in a single powerful tool. The combination of all these microscopy techniques in a single microscope allows gathering more information during samples imaging, implementing fluorescence technique with label free techniques. A description of the experimental setup of the realized multimodal microscope is presented together with the metrological characterization of the instrument, evaluating the main uncertainty sources that influence the measurement processes. Label free microscopy techniques allow performing measurements on biological samples with low invasiveness, since to image the specimens it is not demanded any specific sample preparation. This characteristic leads to measurements on living samples with a true low impact, opening new avenues on the research in biology and in particular way in regenerative medicine. Novel applications of these microscopy techniques are presented to study the extracellular matrix production in both fixed and living samples, as well as to characterize the scaffolds topology and the scaffold-cells interactions in a time-lapse experiment using living samples. This doctorate thesis is composed by a state of the art chapter in which are discussed the advanced nonlinear optical microscopy techniques from a theoretical point of view, the main experimental implementations of CARS microscopy and the main parameters and properties to be measured relevant in regenerative medicine applications and products. A chapter is dedicated to the experimental setup for the realization of the multimodal CARS-SHG-TPEF microscope at the I.N.Ri.M. laboratory. A specific chapter is dedicated to the study of the main sources of uncertainty of the measurements using CARS, TPEF and SHG techniques. A chapter in which are discussed the biological experiments realized using the multimodal CARS-SHG-TPEF microscope and at the end a final chapter with the conclusion of this doctorate thesis. This study has been conducted at the Italian institute of metrology (Istituto Nazionale di Ricerca Metrologica, I.N.Ri.M.) as part of the projects REGENMED, METREGEN and ACTIVE with funding respectively from the UE (ERA-NET plus Grant Agreement No 217257) and from Piedmont Region on UE under the programs CIPE 2007- converging technologies, grant 0126000010-METREGEN and POR-FESR I-I.1.3-I1.1 - ACTIVE. The main accomplished results are: • The development of the whole experimental multimodal CARS-SHG-TPEF microscopy system • The theoretical study of the main sources of uncertainty in the measurements with CARS, TPEF and SHG techniques. • The realization of biological experiments using these microscopy techniques: o To study the collagen production from fixed histological sections of human dermal fibroblasts cultured in fibrin gel scaffold using CARS and SHG techniques o To study the collagen production by live human fibroblasts and mesenchymal stem cells cultured in fibrin gel scaffold using CARS and SHG techniques o To characterize polymeric scaffolds in culture media with a label-free method using CARS and SHG techniques o To study the colonization in a two days time-lapse experiment of a polymeric scaffold by human mesenchymal stem cells stained with calcein using CARS and TPEF techniques
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Badia, Ismaïl. "Couplage par décomposition de domaine optimisée de formulations intégrales et éléments finis d’ordre élevé pour l’électromagnétisme." Electronic Thesis or Diss., Université de Lorraine, 2022. http://www.theses.fr/2022LORR0058.

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La résolution numérique d’un problème de diffraction électromagnétique tridimensionnel en régime harmonique est connue pour être difficile, notamment en haute fréquence et pour des objets diffractants diélectriques et inhomogènes. En effet, elle nécessite de discrétiser un système d’équations aux dérivées partielles posé sur un domaine infini. De plus, le fait de considérer une petite longueur d’onde λ dans ce cas, nécessite naturellement un maillage très fin, ce qui conduit par conséquent à un très grand nombre de degrés de liberté. Une approche standard consiste à combiner une méthode d’équations intégrales pour le domaine extérieur et une formulation variationnelle volumique pour le domaine intérieur (objet diffractant), conduisant à une formulation couplant la méthode des éléments de frontière (BEM) et la méthode des éléments finis (FEM). Bien que naturelle, cette approche présente quelques inconvénients majeurs. Tout d’abord, cette méthode de couplage mène à un système linéaire de très grande taille caractérisé par une matrice composée à la fois de parties creuses et denses. Un tel système est généralement difficile à résoudre et n’est pas directement adapté aux méthodes de compression. Ajouté à cela, il n’est pas possible de combiner facilement deux solveurs pré-existants, à savoir un solveur FEM pour le domaine intérieur et un solveur BEM pour le domaine extérieur, afin de construire un solveur global du problème original. Dans cette thèse, nous présentons un couplage faible bien conditionné entre la méthode des éléments de frontière et celle des éléments finis d’ordre élevé, permettant une simple construction d’un tel solveur. L’approche est basée sur l’utilisation d’une méthode de décomposition de domaine sans recouvrement impliquant des opérateurs de transmission optimaux. Ces derniers sont construits par le biais d’un processus de localisation basé sur des approximations rationnelles complexes de Padé des opérateurs Magnetic-to-Electric non locaux. Le nombre d’itérations nécessaires à la résolution du couplage faible ne dépend que faiblement de la configuration géométrique, de la fréquence, du contraste entre les sous-domaines et du raffinement de maillage
In terms of computational methods, solving three-dimensional time-harmonic electromagnetic scattering problems is known to be a challenging task, most particularly in the high frequency regime and for dielectric and inhomogeneous scatterers. Indeed, it requires to discretize a system of partial differential equations set in an unbounded domain. In addition, considering a small wavelength λ in this case, naturally requires very fine meshes, and therefore leads to very large number of degrees of freedom. A standard approach consists in combining integral equations for the exterior domain and a weak formulation for the interior domain (the scatterer) resulting in a formulation coupling the Boundary Element Method (BEM) and the Finite Element Method (FEM). Although natural, this approach has some major drawbacks. First, this standard coupling method yields a very large system having a matrix with sparse and dense blocks, which is therefore generally hard to solve and not directly adapted to compression methods. Moreover, it is not possible to easily combine two pre-existing solvers, one FEM solver for the interior domain and one BEM solver for the exterior domain, to construct a global solver for the original problem. In this thesis, we present a well-conditioned weak coupling formulation between the boundary element method and the high-order finite element method, allowing the construction of such a solver. The approach is based on the use of a non-overlapping domain decomposition method involving optimal transmission operators. The associated transmission conditions are constructed through a localization process based on complex rational Padé approximants of the nonlocal Magnetic-to-Electric operators. The number of iterations required to solve this weak coupling is only slightly dependent on the geometry configuration, the frequency, the contrast between the subdomains and the mesh refinement
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Hung-Liang-Tseng and 曾宏量. "The Scattering of a Vertical Transverse Isotropic Cylindrical Canyon Subjected to Time-Harmonic Elastic Wave." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/85611784979191904306.

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碩士
國立臺灣大學
應用力學研究所
103
The objective of this research is to study the scattering of a vertically transversely isotropic cylindrical canyon subjected to the incidence of time harmonic plane elastic wave. The total displacement field of either the anti-plane or in-plane scattering problem can be decomposed into two parts, namely, free field as well as scattering filed part. The known free field part can be further separated into incident wave and reflected wave in order to satisfy the ground surface condition. While the unknown scattering field part is expanded into a series of n-th order outgoing singular solutions of Lamb’s problem with unknown amplitude which can be determined by boundary condition of canyon itself. The displacement field and stress field of each n-th order outgoing singular solutions of Lamb’s problem can only be expressed into a form of horizontal wave-number integral which can be evaluated efficiently in complex wave-number domain by using the so called steepest descend-stationary phase method. For in-plane scattering problem, the outgoing scattering field contains two kinds of wave field, namely, P wave and S wave, only two sheets of the four Riemann Surface are sufficient to describe the outgoing scattering field. In order to ensure the single value of a multi-value radical function in each Riemann sheet, the branch points and the associated branch cuts are carefully chosen according to the material considered. Least Square method is employed to solve the unknown coefficients of the expansion series of the scattering field. Once the coefficients are determined, the complete displacement field and stress field can be obtained.
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SHIH, MING-CHOU, and 施名洲. "Scattering Problem of a Vertical Transverse Isotropic Circular Cylindrical Cavity Subjected to Time-Harmonic Elastic Wave." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/8r96d5.

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Yang, Chiu-Hsiang, and 楊久庠. "Scattering Problem of a Vertical Transverse Isotropic Special Oblate Elliptical Cavity Subjected to Time-Harmonic Elastic Wave." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/7346s2.

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碩士
國立臺灣大學
應用力學研究所
105
The objectives of this thesis is aim to study the scattering as well as the dynamic stress concentration phenomenon of a vertically transversely isotropic special oblate elliptic cylindrical cavity subjected to the obliquely incidence of time harmonic plane elastic wave. An incident plane wave field traveling through three different types of exterior medium then impinging onto a special oblate elliptic cylindrical cavity with certain specific aspect ratio. There will have different solution strategies according to different types of material property. Since the slowness surface for Magnesium is a circle, therefore, the original scattering problem needs not be converted in geometry. We use the classical cylindrical wave function to solve the corresponding scattering problem, directly. However, for Beryllium and Zinc , since their dimensionless material constant are not equal to 1, therefore, both the slowness surface of these two types of material are ellipse. In order to solve the corresponding scattering problem, firstly, we convert the original elliptical slowness surface for a transverse isotropic material into a circular slowness surface for an isotropic material. At the same time, the geometry of the original problem have been converted from a special oblate elliptical cavity into a circular cavity. In this thesis, two methods are used to solve the corresponding problem, namely, the separation of variable method as well as the discrete boundary collocation point method. We first use the separation of variable method to separate the classical wave function into the product of a Hankel function and a trigonometric function in classical cylindrical coordinate system, and then use the boundary condition of the circular cavity to solve the unknown scattering coefficients. Another alternative method is boundary collocation point method, we propose that after the transformation, the unknown scattering field part can be expanded into a series of n-th order wave function. Each wave function is defined by a trigonometric function angular spectrum along a complex contour integral path with a kernel function which is non-trivial plane wave solution of the corresponding wave equation. The trigonometric angular spectrum of each n-th order wave function can be further converted into an infinite horizontal slowness integral which can be evaluated efficiently in complex slowness domain by employing the steepest descend-stationary phase method. In order to satisfy the boundary condition at each boundary collocation point which allocate along the cavity surface, Least Square method is employed to obtain the unknown coefficient of the expansion series of the scattering field. Thus, the dynamic stress concentration phenomenon of a vertically transversely isotropic special oblate elliptic cylindrical cavity subjected to the obliquely incidence of time harmonic plane elastic wave is thoroughly studied by both of the proposed methods for three different typical materials.
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NTIBARIKURE, LAURENT. "Contributions to the Art of Finite Element Analysis in Electromagnetics." Doctoral thesis, 2014. http://hdl.handle.net/2158/843133.

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The finite element method is a powerful method for the approximate solution of boundary value problems governed by partial differential equations. A really first application to structural engineering problems, dating 1943, is attributed to R. Courant. Since then, there has been a lot of successful tentatives to apply the method to other fields. In particular, Silvester showed in 1969 that waveguide modes could be easily computed with the method. His work started a long path for finite elements in electromagnetics, with multiple assessments of the method with real-world problems and gradually improving the efficiency of the algorithms. Nowadays, finite elements in computational electromagnetics has become an invaluable part in radio frequency and microwave application designs, and many packages are widely available to perform these tasks. However, there remain a lot of problems to be solved. In this dissertation, we have inquired in two of these. The first, the efficient solution of large problems which may not be solvable on a single modern computer. Domain decomposition methods have been thus investigated, these allowing to solve smaller parts of a large problem and to achieve the whole solution upon proper interconnection. Two types of domain decomposition methods have been analyzed, leading to the construction of algorithms for solving large electromagnetic problems at a nearly linear complexity. The other, the accurate solution of electromagnetic problems in which some materials behave nonlinearly, that is their properties vary depending on the intensity of the fields they imbue. Almost all materials behave nonlinearly and their effect is just a matter of fields intensities and accuracy requirements. In many microwave applications, the nonlinear effects, necessary for information processing and control, are still limited to lumped devices for their highly developed models. Accurate modeling of bulk or films of nonlinear materials may open the way to a new variety of controllable materials in flexible, reconfigurable, electromagnetic devices. A finite element package has been implemented to perform several tests here documented.
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RUIJTER, MARCEL. "Radiation effects for the next generation of synchrotron radiation facilities." Doctoral thesis, 2022. http://hdl.handle.net/11573/1636547.

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High energy radiation is an important tool for many fields of research as it allows for the measurement of smaller structures and atomic interactions. The current best method of generating coherent and narrow bandwidth synchrotron radiation is with a free electron laser. It requires very high charge density, to start the amplification process and concurrently leads to its high level of coherency, and high energies (GeV to obtain keV photons). The stringent parameters on the electron bunch are met by linear accelerators. These are typically kilometre long straight structures that operate from tens to 100 Hz repetition rate. A novel design was proposed by the INFN Milan research group called MariX [1]. Here a LINAC is used in combination with a com- pression arc. This reduces the size of the facility, because the electron bunch can be accelerated twice by the same LINAC. As the electrons pass through dipoles in the compression arc the fields emanating from the particles in the bunch can cause deterioration to it. These fields, consisting out of the relativistic Coulomb-and radiation field, travel with the speeds of light, and thus originate from a point in the past. For this reason the behaviour of these retarded fields is investigated from first principles and developed into a 3D algorithm for calculating the forces within a bunch. An in depth overview is given on how the constituent fields behave over a large range of electron energies. Proportionality relations are given that determine which one is dominant. To reach unprecedented high energy photons is through the scattering of intense lasers with electron bunches; (inverse) Thomson or Compton scattering. Photon energies of keV can be reached with tens of MeV electrons, and MeV photons with GeV electrons. High repetition rate collisions are possible with cavity based laser systems. Currently the power in-side the cavity is several hundreds of kW with an intensity at the focus up to 1014−15 [W/cm2]. With these high powers the cavities can become degenerate, i.e. higher order transverse modes are excited, either by imperfections of the mirrors or deformations caused by heat dissipation. A short study provides insights to the observability of these modes in the Thomson spectrum. The general method for Thomson scattering is to have a (quasi) monochromatic laser pulse collide with an electron bunch with a very small energy spread. The latter usually leads to a reduction of the number of charges, and therefore the flux of scattered photons. The frequency of the scattered radiation is linearly dependent on that of the laser’s, and therefore the energy spread of the electrons could be compensated by including a frequency modulation. The highest intensity lasers obtained are by chirped pulse amplification and thus readily available. Two schemes have been investigated: longitudinal and transverse chirp. Both can reach the limit in bandwidth and number of photons scattered of the mono-energetic and mono-chromatic case. For ultra shorted pulses the carrier envelope phase becomes an important variable. Thomson scattering can be used to measure For intensities where non-linear effects dominate, because the scattered radiation contains the information of the laser pulse.. A model of its signature in the Thomson spectrum has been developed: it shifts the peaks of higher harmonics that overlap. This shift is also correlated to the emission direction of harmonics. A detailed analysis is given how to measure it experimentally.

Books on the topic "Time-Harmonic scattering":

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Martin, P. A. Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles. Cambridge University Press, 2011.

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Martin, P. A. Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles. Cambridge University Press, 2010.

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Martin, P. A. Multiple Scattering: Interaction of Time-Harmonic Waves with N Obstacles (Encyclopedia of Mathematics and its Applications). Cambridge University Press, 2006.

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Werner, Douglas H., Sawyer D. Campbell, and Lei Kang. Nanoantennas and Plasmonics: Modelling, Design and Fabrication. Institution of Engineering & Technology, 2020.

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Book chapters on the topic "Time-Harmonic scattering":

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Kirsch, Andreas. "Inverse Scattering Theory for Time-Harmonic Waves." In Lecture Notes in Computational Science and Engineering, 337–65. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55483-4_9.

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Krishnasamy, G., and F. J. Rizzo. "Time-Harmonic Elastic-Wave Scattering: The Role of Hypersingular Boundary Integral Equations." In Boundary Integral Methods, 311–19. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-85463-7_30.

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Kushnir, Roman, Iaroslav Pasternak, and Heorhiy Sulym. "3D Time-Harmonic Elastic Waves Scattering on Shell-Like Rigid Movable Inclusions." In Advances in Mechanics, 313–27. Cham: Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-37313-8_18.

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Colton, David. "Two Methods for Solving the Inverse Scattering Problem for Time-Harmonic Acoustic Waves." In Constructive Methods for the Practical Treatment of Integral Equations, 103–9. Basel: Birkhäuser Basel, 1985. http://dx.doi.org/10.1007/978-3-0348-9317-6_8.

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Osterbrink, Frank, and Dirk Pauly. "10. Time-harmonic electro-magnetic scattering in exterior weak Lipschitz domains with mixed boundary conditions." In Maxwell’s Equations, edited by Ulrich Langer, Dirk Pauly, and Sergey Repin, 341–82. Berlin, Boston: De Gruyter, 2019. http://dx.doi.org/10.1515/9783110543612-010.

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He, Sailing, Staffan Strom, and Vaughan H. Weston. "Time-Harmonic Wave-Splitting Approaches." In Time Domain Wave-Splittings and Inverse Problems, 229–89. Oxford University PressOxford, 1998. http://dx.doi.org/10.1093/oso/9780198565499.003.0006.

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Abstract In the previous chapters we have treated time domain wave-splitting approaches and that is the main theme of the present book. However, the time domain results have their frequency domain counterparts, which can be obtained by means of a Fourier transform. One may also develop wave-splitting approaches directly in the frequency domain. The frequency domain treatments are of interest in them selves and they also serve to illustrate additional aspects of the time domain treatments. In view of this, several frequency domain wave-splitting techniques are described in this chapter. Besides direct and inverse scattering problems, some design problems will also be considered in this chapter. A design problem may also be formulated as an inverse problem, in which prescribed scattering data or patterns are used instead of measured scattering data. Relevant design problems are, for example, design of a wide-angled high-pass radome in a given frequency band, a frequency selective anti-reflection coating, etc. There are a few aspects in which a design problem differs from an inverse problem. In an inverse problem, measured (physical) data are used as given data. Usually at least one solution exists if the data are free of noise and the physical model is accurate enough. However, non-uniqueness of the solution can often not be excluded, and in many cases the inverse problem is ill-posed (which means in particular that noise-contaminated data may give an erroneous ‘reconstruction’). In a design problem, exact prescribed data are used, and thus the problems associated with noisy data do not appear. Non-uniqueness may still appear, but that means that several alternative designs are possible, and this is not a problem but rather an advantage. However, the existence of a solution may not be guaranteed in a design problem (in many cases one can only reach an optimal ‘solution’, instead of an exact solution). Another concern in a design problem is the feasibility of the solution obtained, from both a physical and a practical point of view (for instance, the specified data as well as the reconstructed parameters have to obey certain general conditions, which follow from, e.g. passivity and causality).
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Boothroyd, Andrew T. "Nuclear Scattering." In Principles of Neutron Scattering from Condensed Matter, 127–84. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198862314.003.0005.

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This chapter contains an overview of the different types of structural dynamics found in condensed matter, and the associated neutron scattering cross-sections. The scattering dynamics of the harmonic oscillator is discussed, and an expression for the Debye-Waller factor is obtained. In the case of crystalline solids, the vibrational spectrum in the harmonic approximation is described, including the phonon dispersion and the cross-sections for one-phonon coherent and incoherent scattering. Multi-phonon scattering is discussed briefly. For non-crystalline matter, the time-dependent van Hove correlation and response functions are introduced, and their relation to the scattering cross-section established. An approximate expression for the correlation function is obtained from the classical form. Partial correlation and response functions are defined for multicomponent systems. The technique of neutron Compton scattering as a probe of single-particle recoil dynamics is described. Quasielastic and neutron spin-echo spectroscopy are introduced, as well as examples of relaxational dynamics which these techniques can measure.
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Shyartsburg, A. B. "Fundamentals of Optics of Broadband Harmonic Pulses." In Time-domain Optics of Ultrashort Waveforms, 1–84. Oxford University PressOxford, 1996. http://dx.doi.org/10.1093/oso/9780198565093.003.0001.

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Abstract This chapter is devoted to time-dependent phenomena in interactions of short pulses of quasi-monochromatic electromagnetic radiation, containing only a few oscillations of wave fields, with dispersive and lossy media. These phenomena are now discovered in a multitude of pulse reflection, scattering and absorption processes. The traditional steady-state values of frequency-dependent parameters characterizing these processes-the refletion coefficients, scattering cross sections and absorption decrements-are determined by the properties of materials irradiated by harmonic CW radiation. In contrast, the relevant characteristics of nonstationary processes may depend on the duration and shape of incident waveform, the material and the geometry of the experiment being the same.
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Li, Jun-Pu, and Qing-Hua Qin. "Regularized Method of Moments for Time- Harmonic Electromagnetic Scattering." In Radial Basis Function Methods For Large-Scale Wave Propagation, 121–34. BENTHAM SCIENCE PUBLISHERS, 2021. http://dx.doi.org/10.2174/9781681088983121010010.

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Adler, Stephen L. "Methods for Time Development." In Ouaternionic Quantum Mechanics and Ouanturn Fields, 194–217. Oxford University PressNew York, NY, 1995. http://dx.doi.org/10.1093/oso/9780195066432.003.0007.

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Abstract In this chapter we develop methods, both exact and approximate, for timedependent problems (Adler, 1988), which complement the methods for stationary state problems given in Chapter 5 and their application to scattering theory in Chapter 6. We begin by giving the general equations for time-dependent perturbation theory in quaternionic quantum mechanics. By making an appropriate choice of initial conditions, these equations are applied successively to the problems of scattering theory and of decaying state theory. We next discuss the use of the interaction and Heisenberg pictures, particularly in the context of the quaternionic forced harmonic oscillator. We conclude by briefly discussing the use of quaternionic quantum mechanics as a model for time reversal violation in elementary particle physics (Adler, l 986a,b).

Conference papers on the topic "Time-Harmonic scattering":

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Kuditcher, A., M. P. Hehlen, S. C. Rand, B. Hoover, and E. Leith. "Time-gated harmonic imaging through scattering media." In Technical Digest Summaries of papers presented at the Conference on Lasers and Electro-Optics Conference Edition. 1998 Technical Digest Series, Vol.6. IEEE, 1998. http://dx.doi.org/10.1109/cleo.1998.676100.

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Saillard, M. "Boundary integral equations for time-harmonic rough surface scattering." In 6th International SYmposium on Antennas, Propagation and EM Theory, 2003. Proceedings. 2003. IEEE, 2003. http://dx.doi.org/10.1109/isape.2003.1276730.

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Brown, Kevin, Nicholas Geddert, and Ian Jeffrey. "A mixed Discontinuous Galerkin formulation for time-harmonic scattering problems." In 2016 17th International Symposium on Antenna Technology and Applied Electromagnetics (ANTEM). IEEE, 2016. http://dx.doi.org/10.1109/antem.2016.7550189.

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Stoynov, Yonko D. "Scattering of time-harmonic antiplane shear waves in magnitoelectroelastic materials." In APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE '12): Proceedings of the 38th International Conference Applications of Mathematics in Engineering and Economics. AIP, 2012. http://dx.doi.org/10.1063/1.4766766.

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Domnikov, Petr A., Maxim V. Ivanov, and Yulia I. Koshkina. "Finite Element Modeling of the Time-harmonic Electromagnetic Field Scattering into an Axisymmetric Medium." In 2021 Radiation and Scattering of Electromagnetic Waves (RSEMW). IEEE, 2021. http://dx.doi.org/10.1109/rsemw52378.2021.9494117.

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Thalmayr, Florian, Ken-ya Hashimoto, Tatsuya Omori, and Masatsune Yamaguchi. "Fast evaluation of lamb wave scattering by time harmonic FEM simulation." In 2009 IEEE International Ultrasonics Symposium. IEEE, 2009. http://dx.doi.org/10.1109/ultsym.2009.5442068.

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Denisenko, Pavel, and Vladimir Sotsky. "Allocation of an Exponentially Modulated Harmonic from a Short Nonstationary Time Series by the SSA Method." In 2019 Radiation and Scattering of Electromagnetic Waves (RSEMW). IEEE, 2019. http://dx.doi.org/10.1109/rsemw.2019.8792782.

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Alwakil, A., G. Soriano, K. Belkebir, H. Giovannini, and S. Arhab. "Direct and iterative inverse wave scattering methods for time-harmonic far-field profilometry." In 2014 IEEE Conference on Antenna Measurements & Applications (CAMA). IEEE, 2014. http://dx.doi.org/10.1109/cama.2014.7003384.

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Qiu, Lingyun, Maarten V. de Hoop, and Antônio Sá Barreto. "Modelling of time‐harmonic seismic data with the Helmholtz equation and scattering series." In SEG Technical Program Expanded Abstracts 2010. Society of Exploration Geophysicists, 2010. http://dx.doi.org/10.1190/1.3513491.

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Clays, Koen, Geert Olbrechts, David Van Steenwinckel, and André Persoons. "Difference in relaxation time between coherent and incoherent second-harmonic generation." In Organic Thin Films for Photonic Applications. Washington, D.C.: Optica Publishing Group, 1997. http://dx.doi.org/10.1364/otfa.1997.thd.3.

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The experimental technique of generating incoherent second-harmonic, also known as hyper-Rayleigh scattering, has become widely appreciated for the determination of the first hyperpolarizability β of nonlinear optical chromophores in solution. This technique was first demonstrated with nanosecond pulses from Neodymium-YAG lasers,1 but has also been extended to femtosecond pulses from Titanium-sapphire lasers.2

To the bibliography