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Journal articles on the topic 'Time-Harmonic scattering'

Author: Grafiati

Published: 8 June 2024

Last updated: 31 July 2025

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1

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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2

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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3

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

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4

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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5

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

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6

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

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7

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 (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

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8

Hu, Guanghui, Wangtao Lu, and Andreas Rathsfeld. "Time-Harmonic Acoustic Scattering from Locally Perturbed Periodic Curves." SIAM Journal on Applied Mathematics 81, no. 6 (2021): 2569–95. http://dx.doi.org/10.1137/19m1301679.

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9

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

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10

Colton, David. "Dense sets and far field patterns for acoustic waves in an inhomogeneous medium." Proceedings of the Edinburgh Mathematical Society 31, no. 3 (1988): 401–7. http://dx.doi.org/10.1017/s0013091500006799.

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In this paper, we shall obtain two results on the class of far field patterns corresponding to the scattering of time harmonic acoustic plane waves by an inhomogeneous medium of compact support. Although the problem of characterizing the class of far field patterns is of basic importance in inverse scattering theory, very little is known about this class other than the fact that the far field patterns are entire functions of their independent (complex) variables for each positive fixed value of the wave number. In particular, the class of far field patterns is not all of L2(∂Ω) where ∂Ω is the

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11

Zhang, Cheng, Jin Yang, Liu Xi Yang, et al. "Convolution operations on time-domain digital coding metasurface for beam manipulations of harmonics." Nanophotonics 9, no. 9 (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

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12

BERMÚDEZ, ALFREDO, LUIS HERVELLA-NIETO, ANDRÉS PRIETO, and RODOLFO RODRÍGUEZ. "VALIDATION OF ACOUSTIC MODELS FOR TIME-HARMONIC DISSIPATIVE SCATTERING PROBLEMS." Journal of Computational Acoustics 15, no. 01 (2007): 95–121. http://dx.doi.org/10.1142/s0218396x07003238.

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The aim of this paper is to study the time-harmonic scattering problem in a coupled fluid-porous medium system. We consider two different models for the treatment of porous materials: the Allard–Champoux equations and an approximate model based on a wall impedance condition. Both models are compared by computing analytically their respective solutions for unbounded planar obstacles, considering successively plane and spherical waves. A numerical method combining an optimal bounded PML and finite elements is also introduced to compute the solutions of both problems for more general axisymmetric

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13

Bao, Gang, and Peijun Li. "Inverse medium scattering for three-dimensional time harmonic Maxwell equations." Inverse Problems 20, no. 2 (2004): L1—L7. http://dx.doi.org/10.1088/0266-5611/20/2/l01.

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14

Khajah, Tahsin, Xavier Antoine, and Stéphane P. A. Bordas. "B-Spline FEM for Time-Harmonic Acoustic Scattering and Propagation." Journal of Theoretical and Computational Acoustics 27, no. 03 (2019): 1850059. http://dx.doi.org/10.1142/s2591728518500597.

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We study the application of a B-splines Finite Element Method (FEM) to time-harmonic scattering acoustic problems. The infinite space is truncated by a fictitious boundary and second-order Absorbing Boundary Conditions (ABCs) are applied. The truncation error is included in the exact solution so that the reported error is an indicator of the performance of the numerical method, in particular of the size of the pollution error. Numerical results performed with high-order basis functions (third or fourth order) showed no visible pollution error even for very high frequencies. To prove the abilit

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15

Lu, Wangtao, and Guanghui Hu. "Time-Harmonic Acoustic Scattering from a Nonlocally Perturbed Trapezoidal Surface." SIAM Journal on Scientific Computing 41, no. 3 (2019): B522—B544. http://dx.doi.org/10.1137/18m1216195.

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16

Wei, Xing, and Linlin Sun. "Singular boundary method for 3D time-harmonic electromagnetic scattering problems." Applied Mathematical Modelling 76 (December 2019): 617–31. http://dx.doi.org/10.1016/j.apm.2019.06.039.

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17

Vico, Felipe, Miguel Ferrando, Leslie Greengard, and Zydrunas Gimbutas. "The Decoupled Potential Integral Equation for Time-Harmonic Electromagnetic Scattering." Communications on Pure and Applied Mathematics 69, no. 4 (2015): 771–812. http://dx.doi.org/10.1002/cpa.21585.

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18

Athanasiadis, Christodoulos. "On the acoustic scattering amplitude for a multi-layered Scatterer." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 39, no. 4 (1998): 431–48. http://dx.doi.org/10.1017/s0334270000007736.

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AbstractWe consider the boundary-value problems corresponding to the scattering of a time-harmonic acoustic plane wave by a multi-layered obstacle with a sound-soft, hard or penetrable core. Firstly, we construct in closed forms the normalized scattering amplitudes and prove the classical reciprocity and scattering theorems for these problems. These results are then used to study the spectrum of the scattering amplitude operator. The scattering cross-section is expressed in terms of the forward value of the corresponding normalized scattering amplitude. Finally, we develop a more general theor

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19

Hazard, Christophe, and Marc Lenoir. "On the Solution of Time-Harmonic Scattering Problems for Maxwell’s Equations." SIAM Journal on Mathematical Analysis 27, no. 6 (1996): 1597–630. http://dx.doi.org/10.1137/s0036141094271259.

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20

Kress, Rainer. "Numerical Solution of Boundary Integral Equations in Time-Harmonic Electromagnetic Scattering." Electromagnetics 10, no. 1-2 (1990): 1–20. http://dx.doi.org/10.1080/02726349008908226.

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21

Chen, Zhiming, and Xuezhe Liu. "An Adaptive Perfectly Matched Layer Technique for Time-harmonic Scattering Problems." SIAM Journal on Numerical Analysis 43, no. 2 (2005): 645–71. http://dx.doi.org/10.1137/040610337.

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22

Chen, Zhiming, and Xuezhe Liu. "An Adaptive Perfectly Matched Layer Technique for Time-harmonic Scattering Problems." SIAM Journal on Numerical Analysis 43, no. 2 (2005): 645–71. http://dx.doi.org/10.1137/040610337%\margin.

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23

Luan, Tian, Yao Sun, and Zibo Zhuang. "A meshless numerical method for time harmonic quasi-periodic scattering problem." Engineering Analysis with Boundary Elements 104 (July 2019): 320–31. http://dx.doi.org/10.1016/j.enganabound.2019.03.034.

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24

Bermúdez, A., L. Hervella-Nieto, A. Prieto, and R. Rodríguez. "An Exact Bounded Perfectly Matched Layer for Time-Harmonic Scattering Problems." SIAM Journal on Scientific Computing 30, no. 1 (2008): 312–38. http://dx.doi.org/10.1137/060670912.

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25

JOST, GABRIELE. "Integral Equations with Modified Fundamental Solution in Time-Harmonic Electromagnetic Scattering." IMA Journal of Applied Mathematics 40, no. 2 (1988): 129–43. http://dx.doi.org/10.1093/imamat/40.2.129.

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26

ATASSI, OLIVER V., and AMR A. ALI. "INFLOW/OUTFLOW CONDITIONS FOR TIME-HARMONIC INTERNAL FLOWS." Journal of Computational Acoustics 10, no. 02 (2002): 155–82. http://dx.doi.org/10.1142/s0218396x02001668.

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Inflow/Outflow conditions are formulated for time-harmonic waves in a duct governed by the Euler equations. These conditions are used to compute the propagation of acoustic and vortical disturbances and the scattering of vortical waves into acoustic waves by an annular cascade. The outflow condition is expressed in terms of the pressure, thus avoiding the velocity discontinuity across any vortex sheets. The numerical solutions are compared with the analytical solutions for acoustic and vortical wave propagation with and without the presence of vortex sheets. Grid resolution studies are also ca

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27

Abdelli, S., A. Khalfaoui, T. Kerdja, and D. Ghobrini. "Laser-plasma interaction properties through second harmonic generation." Laser and Particle Beams 10, no. 4 (1992): 629–37. http://dx.doi.org/10.1017/s0263034600004559.

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An experimental analysis is conducted to visualize sidescattered second harmonic spectra originating from the critical surface of a plasma produced from a 1, 064-nm laser beam. It is shown that longitudinal and transverse wave-scattering mechanisms producing the second harmonic may also alter the local plasma parameters. These irregular plasma parameter variations and the perturbed spatial uniformity of the incident laser beam can, in turn, be visualized through the second harmonic behavior. This work confirms the origin of the second harmonic production in an inhomogeneous plasma. Time evolut

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28

Ngo, Hoang Minh, Ngoc Diep Lai, and Isabelle Ledoux-Rak. "High second-order nonlinear response of platinum nanoflowers: the role of surface corrugation." Nanoscale 8, no. 6 (2016): 3489–95. http://dx.doi.org/10.1039/c5nr07571h.

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29

Dhia, A. S. Bonnet-Ben, J. F. Mercier, F. Millot, S. Pernet, and E. Peynaud. "Time-Harmonic Acoustic Scattering in a Complex Flow: A Full Coupling Between Acoustics and Hydrodynamics." Communications in Computational Physics 11, no. 2 (2012): 555–72. http://dx.doi.org/10.4208/cicp.221209.030111s.

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AbstractFor the numerical simulation of time harmonic acoustic scattering in a complex geometry, in presence of an arbitrary mean flow, the main difficulty is the coexistence and the coupling of two very different phenomena: acoustic propagation and convection of vortices. We consider a linearized formulation coupling an augmented Galbrun equation (for the perturbation of displacement) with a time harmonic convection equation (for the vortices). We first establish the well-posedness of this time harmonic convection equation in the appropriate mathematical framework. Then the complete problem,

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30

SAITO, SHINGO, and TOHRU SUEMOTO. "SPATIAL AND MOMENTUM DIFFUSION OF ENERGETIC HOLES IN InAs BY TWO COLOR PUMP-PROBE METHOD." International Journal of Modern Physics B 15, no. 28n30 (2001): 3932–35. http://dx.doi.org/10.1142/s0217979201009037.

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Time-resolved electronic Raman scattering of a direct-gap semiconductor, InAs was measured by pump-probe method. We used fundamental pulses and second harmonic pulses of mode-locked Ti:S laser as excitation sources, and fundamental pulses as the probe beam. The time-resolved Raman intensities corresponding to the transition from heavy hole band to light hole band showed different features depending on the excitation energy. In case of the fundamental beam excitation, Raman intensity decreased monotonously. On the contrary, Raman intensity under the second harmonic excitation showed a maximum a

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31

Schneider, Stefan. "Application of Fast Methods for Acoustic Scattering and Radiation Problems." Journal of Computational Acoustics 11, no. 03 (2003): 387–401. http://dx.doi.org/10.1142/s0218396x03002012.

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Our work is devoted to the solution of large scale (kl = 10…100π) three dimensional radiation and scattering problems covered by the time harmonic Helmholtz equation. We present an application of the Regular Grid Method and Multilevel Fast Multipole Method to acoustic scattering problems. These methods lead to a memory requirement of [Formula: see text] that enables us to solve scattering or radiation problems with several ten-thousands of unknowns. In a computational examples we show the efficiency of these methods.

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32

Kress, Rainer. "On the boundary operator in electromagnetic scattering." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 103, no. 1-2 (1986): 91–98. http://dx.doi.org/10.1017/s0308210500014037.

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SynopsisFor radiating solutions to the time-harmonic Maxwell equations, it is shown that the boundary operator mapping the tangential components of the electric field into the tangential components of the magnetic field is a bounded bijective operator from the space of Holder continuous tangential fields with Hölder continuous surface divergence onto itself.

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33

Morioka, Hisashi. "Generalized eigenfunctions and scattering matrices for position-dependent quantum walks." Reviews in Mathematical Physics 31, no. 07 (2019): 1950019. http://dx.doi.org/10.1142/s0129055x19500193.

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We study the spectral analysis and the scattering theory for time evolution operators of position-dependent quantum walks. Our main purpose of this paper is the construction of generalized eigenfunctions of the time evolution operator. Roughly speaking, the generalized eigenfunctions are not square summable but belong to [Formula: see text]-space on [Formula: see text]. Moreover, we derive a characterization of the set of generalized eigenfunctions in view of the time-harmonic scattering theory. Thus we show that the S-matrix associated with the quantum walk appears in the singularity expansio

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34

ATHANASIADIS, CHRISTODOULOS. "Scattering theorems for time-harmonic electromagnetic waves in a piecewise homogeneous medium." Mathematical Proceedings of the Cambridge Philosophical Society 123, no. 1 (1998): 179–90. http://dx.doi.org/10.1017/s0305004197001977.

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35

Li, Junpu, Lan Zhang, and Qing-Hua Qin. "A regularized method of moments for three-dimensional time-harmonic electromagnetic scattering." Applied Mathematics Letters 112 (February 2021): 106746. http://dx.doi.org/10.1016/j.aml.2020.106746.

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36

Hettlich, F. "Uniqueness of the Inverse Conductive Scattering Problem for Time-Harmonic Electromagnetic Waves." SIAM Journal on Applied Mathematics 56, no. 2 (1996): 588–601. http://dx.doi.org/10.1137/s003613999427382x.

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37

Hohage, Thorsten, Frank Schmidt, and Lin Zschiedrich. "Solving Time-Harmonic Scattering Problems Based on the Pole Condition I: Theory." SIAM Journal on Mathematical Analysis 35, no. 1 (2003): 183–210. http://dx.doi.org/10.1137/s0036141002406473.

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38

Hu, G., and A. Rathsfeld. "Scattering of time-harmonic electromagnetic plane waves by perfectly conducting diffraction gratings." IMA Journal of Applied Mathematics 80, no. 2 (2014): 508–32. http://dx.doi.org/10.1093/imamat/hxt054.

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39

Kawamoto, Masaki, and Hayato Miyazaki. "Modified scattering operator for nonlinear Schrödinger equations with time-decaying harmonic potentials." Nonlinear Analysis 256 (July 2025): 113778. https://doi.org/10.1016/j.na.2025.113778.

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40

Mock, Adam. "Calculating Scattering Spectra using Time-domain Modeling of Time-modulated Systems." Applied Computational Electromagnetics Society 35, no. 11 (2021): 1288–89. http://dx.doi.org/10.47037/2020.aces.j.351113.

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Obtaining agreement between theoretical predictions that assume single-frequency excitation and finite-difference time-domain (FDTD) simulations that employ broadband excitation in the presence of time-varying materials is challenging due to frequency mixing. A simple solution is proposed to reduce artifacts in FDTD-calculated spectra from the frequency mixing induced by harmonic refractive index modulation applicable to scenarios in which second order and higher harmonics are negligible. Advantages of the proposed method are its simplicity and applicability to arbitrary problems including res

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41

Nedanovska, E., G. Nersisyan, C. L. S. Lewis, and D. Riley. "Investigation of magnesium laser ablated plumes with Thomson scattering." Laser and Particle Beams 30, no. 2 (2012): 259–66. http://dx.doi.org/10.1017/s0263034612000018.

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AbstractOptical Thomson scattering has been implemented as a diagnostic of laser ablated plumes generated with second harmonic Nd:YAG laser radiation at 532 nm. Thomson scattering data with both spatial and temporal resolution has been collected, giving both electron density, and temperature distributions within the plume as a function of time. Although the spatial profiles do not match very well for simple models assuming either isothermal or isentropic expansion, consideration of the measured ablated mass indicates an isothermal expansion fits better than an isentropic expansion and indeed,

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42

Athanasiadou, Evagelia S. "An Inverse Mixed Impedance Scattering Problem in a Chiral Medium." Mathematics 9, no. 1 (2021): 104. http://dx.doi.org/10.3390/math9010104.

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An inverse scattering problem of time-harmonic chiral electromagnetic waves for a buried partially coated object was studied. The buried object was embedded in a piecewise isotropic homogeneous background chiral material. On the boundary of the scattering object, the total electromagnetic field satisfied perfect conductor and impedance boundary conditions. A modified linear sampling method, which originated from the chiral reciprocity gap functional, was employed for reconstruction of the shape of the buried object without requiring any a priori knowledge of the material properties of the scat

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43

Yang, Zhiguo, Li-Lian Wang, and Yang Gao. "A Truly Exact Perfect Absorbing Layer for Time-Harmonic Acoustic Wave Scattering Problems." SIAM Journal on Scientific Computing 43, no. 2 (2021): A1027—A1061. http://dx.doi.org/10.1137/19m1294071.

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44

Tang, Guangxin, Laurence J. Jacobs, and Jianmin Qu. "Scattering of time-harmonic elastic waves by an elastic inclusion with quadratic nonlinearity." Journal of the Acoustical Society of America 131, no. 4 (2012): 2570–78. http://dx.doi.org/10.1121/1.3692233.

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45

Coyle, Joe, and Peter Monk. "Scattering of Time-Harmonic Electromagnetic Waves by Anisotropic Inhomogeneous Scatterers or Impenetrable Obstacles." SIAM Journal on Numerical Analysis 37, no. 5 (2000): 1590–617. http://dx.doi.org/10.1137/s0036142998349515.

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46

Barnett, A. H., and T. Betcke. "An Exponentially Convergent Nonpolynomial Finite Element Method for Time-Harmonic Scattering from Polygons." SIAM Journal on Scientific Computing 32, no. 3 (2010): 1417–41. http://dx.doi.org/10.1137/090768667.

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47

Misici, Luciano, and Francesco Zirilli. "Three-Dimensional Inverse Obstacle Scattering for Time Harmonic Acoustic Waves: A Numerical Method." SIAM Journal on Scientific Computing 15, no. 5 (1994): 1174–89. http://dx.doi.org/10.1137/0915072.

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48

Lechleiter, A., and T. Rienmüller. "Time-harmonic acoustic wave scattering in an ocean with depth-dependent sound speed." Applicable Analysis 95, no. 5 (2015): 978–99. http://dx.doi.org/10.1080/00036811.2015.1047831.

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49

COLTON, DAVID, and PETER MONK. "THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN A PENETRABLE MEDIUM." Quarterly Journal of Mechanics and Applied Mathematics 40, no. 2 (1987): 189–212. http://dx.doi.org/10.1093/qjmam/40.2.189.

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50

COLTON, DAVID, and PETER MONK. "THE INVERSE SCATTERING PROBLEM FOR TIME-HARMONIC ACOUSTIC WAVES IN AN INHOMOGENEOUS MEDIUM." Quarterly Journal of Mechanics and Applied Mathematics 41, no. 1 (1988): 97–125. http://dx.doi.org/10.1093/qjmam/41.1.97.

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