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Journal articles on the topic 'Electromagnetic Inverse Scattering'

Author: Grafiati

Published: 4 June 2021

Last updated: 5 February 2022

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1

Caman͂o, Jessika, Christopher Lackner, and Peter Monk. "Electromagnetic Stekloff Eigenvalues in Inverse Scattering." SIAM Journal on Mathematical Analysis 49, no. 6 (2017): 4376–401. http://dx.doi.org/10.1137/16m1108893.

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2

Cakoni, Fioralba, David Colton, and Peter Monk. "Qualitative Methods in Inverse Electromagnetic Scattering Theory: Inverse Scattering for Anisotropic Media." IEEE Antennas and Propagation Magazine 59, no. 5 (2017): 24–33. http://dx.doi.org/10.1109/map.2017.2731662.

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3

Elkattan, Mohamed. "An Efficient Technique for Solving Inhomogeneous Electromagnetic Inverse Scattering Problems." Journal of Electromagnetic Engineering and Science 20, no. 1 (2020): 64–72. http://dx.doi.org/10.26866/jees.2020.20.1.64.

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The electromagnetic inverse scattering approach seeks to obtain the electric characteristics of a scatterer using information about the source and the scattered data. The inverse scattering problem usually suffers from limited knowledge about the scatterer used, which makes its solution more challenging than the forward problem. This paper presents an inversion approach to estimating the unknown electric properties of a two- and three-dimensional inhomogeneous scatterer. The presented approach considers the inverse scattering problem as a global minimization problem with a meshless forward for

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4

Capozzoli, A., C. Curcio, and A. Liseno. "Singular Value Optimization in Inverse Electromagnetic Scattering." IEEE Antennas and Wireless Propagation Letters 16 (2017): 1094–97. http://dx.doi.org/10.1109/lawp.2016.2622713.

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5

Agarwal, Krishna, Xudong Chen, and Yu Zhong. "SubspaceMethods for Solving Electromagnetic Inverse Scattering Problems." Methods and Applications of Analysis 17, no. 4 (2010): 407–32. http://dx.doi.org/10.4310/maa.2010.v17.n4.a6.

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6

Hähner, Peter. "An approximation theorem in inverse electromagnetic scattering." Mathematical Methods in the Applied Sciences 17, no. 4 (1994): 293–303. http://dx.doi.org/10.1002/mma.1670170406.

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7

Bao, Gang, and Peijun Li. "Inverse Medium Scattering Problems for Electromagnetic Waves." SIAM Journal on Applied Mathematics 65, no. 6 (2005): 2049–66. http://dx.doi.org/10.1137/040607435.

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8

Khruslov, E. Ya, and D. G. Shepelsky. "Inverse scattering method in electromagnetic sounding theory." Inverse Problems 10, no. 1 (1994): 1–37. http://dx.doi.org/10.1088/0266-5611/10/1/003.

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9

Cakoni, Fioralba, David Colton, and Eric Darrigrand. "The inverse electromagnetic scattering problem for screens." Inverse Problems 19, no. 3 (2003): 627–42. http://dx.doi.org/10.1088/0266-5611/19/3/310.

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10

Golden, K. M., D. Borup, M. Cheney, et al. "Inverse electromagnetic scattering models for sea ice." IEEE Transactions on Geoscience and Remote Sensing 36, no. 5 (1998): 1675–704. http://dx.doi.org/10.1109/36.718638.

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11

Athanasiadou, Evangelia S., Stefania Zoi, and Ioannis Arkoudis. "AN INVERSE ELECTROMAGNETIC SCATTERING PROBLEM FOR AN ELLIPSOID." Progress In Electromagnetics Research M 83 (2019): 141–50. http://dx.doi.org/10.2528/pierm19051005.

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12

Wenhua Yu, Zhongqiu Peng, and Lang Jen. "A fast convergent method in electromagnetic inverse scattering." IEEE Transactions on Antennas and Propagation 44, no. 11 (1996): 1529–32. http://dx.doi.org/10.1109/8.542078.

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13

Bucci, O. M., and T. Isernia. "Electromagnetic inverse scattering: Retrievable information and measurement strategies." Radio Science 32, no. 6 (1997): 2123–37. http://dx.doi.org/10.1029/97rs01826.

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14

Beilina, Larisa, Marte P. Hatlo, and Harald E. Krogstad. "Adaptive algorithm for an inverse electromagnetic scattering problem." Applicable Analysis 88, no. 1 (2009): 15–28. http://dx.doi.org/10.1080/00036810802378620.

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15

Wang, Jenn-Nan. "A bistatic inverse scattering problem for electromagnetic waves." Journal of Mathematical Physics 41, no. 4 (2000): 1966–78. http://dx.doi.org/10.1063/1.533222.

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16

Cakoni, Fioralba, David Colton, Peter Monk, and Jiguang Sun. "The inverse electromagnetic scattering problem for anisotropic media." Inverse Problems 26, no. 7 (2010): 074004. http://dx.doi.org/10.1088/0266-5611/26/7/074004.

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17

Zeng, Fang, Fioralba Cakoni, and Jiguang Sun. "An inverse electromagnetic scattering problem for a cavity." Inverse Problems 27, no. 12 (2011): 125002. http://dx.doi.org/10.1088/0266-5611/27/12/125002.

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18

Nakamura, Gen, and Haibing Wang. "Inverse scattering for obliquely incident polarized electromagnetic waves." Inverse Problems 28, no. 10 (2012): 105004. http://dx.doi.org/10.1088/0266-5611/28/10/105004.

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19

Cogar, Samuel, and Peter B. Monk. "Modified Electromagnetic Transmission Eigenvalues in Inverse Scattering Theory." SIAM Journal on Mathematical Analysis 52, no. 6 (2020): 6412–41. http://dx.doi.org/10.1137/20m134006x.

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20

Hagemann, Felix, Tilo Arens, Timo Betcke, and Frank Hettlich. "Solving inverse electromagnetic scattering problems via domain derivatives." Inverse Problems 35, no. 8 (2019): 084005. http://dx.doi.org/10.1088/1361-6420/ab10cb.

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21

Pastorino, Matteo, Mirco Raffetto, and Andrea Randazzo. "Electromagnetic Inverse Scattering of Axially Moving Cylindrical Targets." IEEE Transactions on Geoscience and Remote Sensing 53, no. 3 (2015): 1452–62. http://dx.doi.org/10.1109/tgrs.2014.2342933.

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22

Song, Rencheng, Youyou Huang, Kuiwen Xu, Xiuzhu Ye, Chang Li, and Xun Chen. "Electromagnetic Inverse Scattering With Perceptual Generative Adversarial Networks." IEEE Transactions on Computational Imaging 7 (2021): 689–99. http://dx.doi.org/10.1109/tci.2021.3093793.

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23

Zhou, Huilin, Youwen Liu, Yuhao Wang, Liangbing Chen, and Rongxing Duan. "Nonlinear Electromagnetic Inverse Scattering Imaging Based on IN-LSQR." International Journal of Antennas and Propagation 2018 (August 2, 2018): 1–9. http://dx.doi.org/10.1155/2018/2794646.

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A nonlinear inversion scheme is proposed for electromagnetic inverse scattering imaging. It exploits inexact Newton (IN) and least square QR factorization (LSQR) methods to tackle the nonlinearity and ill-posedness of the electromagnetic inverse scattering problem. A nonlinear model of the inverse scattering in functional form is developed. At every IN iteration, the sparse storage method is adopted to solve the storage and computational bottleneck of Fréchet derivative matrix, a large-scale sparse Jacobian matrix. Moreover, to address the slow convergence problem encountered in the inexact Ne

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24

Langenberg, K. J., R. Bärmann, R. Marklein, et al. "Electromagnetic and elastic wave scattering and inverse scattering applied to concrete." NDT & E International 30, no. 4 (1997): 205–10. http://dx.doi.org/10.1016/s0963-8695(96)00057-6.

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25

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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26

Guo, Liang, Guanfeng Song, and Hongsheng Wu. "Complex-Valued Pix2pix—Deep Neural Network for Nonlinear Electromagnetic Inverse Scattering." Electronics 10, no. 6 (2021): 752. http://dx.doi.org/10.3390/electronics10060752.

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Nonlinear electromagnetic inverse scattering is an imaging technique with quantitative reconstruction and high resolution. Compared with conventional tomography, it takes into account the more realistic interaction between the internal structure of the scene and the electromagnetic waves. However, there are still open issues and challenges due to its inherent strong non-linearity, ill-posedness and computational cost. To overcome these shortcomings, we apply an image translation network, named as Complex-Valued Pix2pix, on the inverse scattering problem of electromagnetic field. Complex-Valued

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27

Blohbaum, J. "Optimisation methods for an inverse problem with time-harmonic electromagnetic waves: an inverse problem in electromagnetic scattering." Inverse Problems 5, no. 4 (1989): 463–82. http://dx.doi.org/10.1088/0266-5611/5/4/004.

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28

Maystre, D., A. Roger, and E. Toro. "Inverse scattering on electromagnetic measurements in a stratified medium." Revue de Physique Appliquée 20, no. 12 (1985): 815–21. http://dx.doi.org/10.1051/rphysap:019850020012081500.

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29

TANAKA, M., K. YANO, H. YOSHIDA, and A. KUSUNOKI. "Multigrid Optimization Method Applied to Electromagnetic Inverse Scattering Problem." IEICE Transactions on Electronics E90-C, no. 2 (2007): 320–26. http://dx.doi.org/10.1093/ietele/e90-c.2.320.

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30

Colton, D. "The inverse electromagnetic scattering problem for an anisotropic medium." Quarterly Journal of Mechanics and Applied Mathematics 52, no. 3 (1999): 349–72. http://dx.doi.org/10.1093/qjmam/52.3.349.

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31

Zhou, Huilin, Tao Ouyang, Yadan Li, Jian Liu, and Qiegen Liu. "Linear-Model-Inspired Neural Network for Electromagnetic Inverse Scattering." IEEE Antennas and Wireless Propagation Letters 19, no. 9 (2020): 1536–40. http://dx.doi.org/10.1109/lawp.2020.3008720.

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32

Xiaoyun, Xiong, Zhao Yarlwen, and Nie Zaiping. "A regularization method in the electromagnetic inverse scattering problem." Progress in Natural Science 17, no. 3 (2007): 346–51. http://dx.doi.org/10.1080/10020070612331343268.

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33

He, Sailing, and Vaughan H. Weston. "Three-dimensional electromagnetic inverse scattering for biisotropic dispersive media." Journal of Mathematical Physics 38, no. 1 (1997): 182–95. http://dx.doi.org/10.1063/1.531849.

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34

Lechleiter, Armin, and Dinh-Liem Nguyen. "Factorization Method for Electromagnetic Inverse Scattering from Biperiodic Structures." SIAM Journal on Imaging Sciences 6, no. 2 (2013): 1111–39. http://dx.doi.org/10.1137/120903968.

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35

Ito, Kazufumi, Bangti Jin, and Jun Zou. "A direct sampling method for inverse electromagnetic medium scattering." Inverse Problems 29, no. 9 (2013): 095018. http://dx.doi.org/10.1088/0266-5611/29/9/095018.

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36

Yang, Jiaqing, and Bo Zhang. "Inverse electromagnetic scattering problems by a doubly periodic structure." Methods and Applications of Analysis 18, no. 1 (2011): 111–26. http://dx.doi.org/10.4310/maa.2011.v18.n1.a8.

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37

ZHANG, Qing-He, Bo-Xun XIAO, and Guo-Qiang ZHU. "A New Solution of Real-Time Electromagnetic Inverse-Scattering." Chinese Journal of Geophysics 49, no. 5 (2006): 1394–400. http://dx.doi.org/10.1002/cjg2.964.

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38

Cakoni, Fioralba, and David Colton. "Combined far-ield operators in electromagnetic inverse scattering theory." Mathematical Methods in the Applied Sciences 26, no. 5 (2003): 413–29. http://dx.doi.org/10.1002/mma.360.

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39

Pieper, M. "Nonlinear integral equations for an inverse electromagnetic scattering problem." Journal of Physics: Conference Series 124 (July 1, 2008): 012040. http://dx.doi.org/10.1088/1742-6596/124/1/012040.

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40

Joachimowicz, N., C. Pichot, and J. P. Hugonin. "Inverse scattering: an iterative numerical method for electromagnetic imaging." IEEE Transactions on Antennas and Propagation 39, no. 12 (1991): 1742–53. http://dx.doi.org/10.1109/8.121595.

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41

Harris, Isaac, and Dinh-Liem Nguyen. "Orthogonality Sampling Method for the Electromagnetic Inverse Scattering Problem." SIAM Journal on Scientific Computing 42, no. 3 (2020): B722—B737. http://dx.doi.org/10.1137/19m129783x.

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42

Zhang, Deyue, and Fuming Ma. "An inverse electromagnetic scattering problem for periodic chiral structures." Journal of Physics: Conference Series 12 (January 1, 2005): 180–87. http://dx.doi.org/10.1088/1742-6596/12/1/018.

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43

Li, Lianlin, Long Gang Wang, Fernando L. Teixeira, Che Liu, Arye Nehorai, and Tie Jun Cui. "DeepNIS: Deep Neural Network for Nonlinear Electromagnetic Inverse Scattering." IEEE Transactions on Antennas and Propagation 67, no. 3 (2019): 1819–25. http://dx.doi.org/10.1109/tap.2018.2885437.

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44

Colton, David, Houssem Haddar, and Michele Piana. "The linear sampling method in inverse electromagnetic scattering theory." Inverse Problems 19, no. 6 (2003): S105—S137. http://dx.doi.org/10.1088/0266-5611/19/6/057.

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45

Jaggard, D., and P. Frangos. "The electromagnetic inverse scattering problem for layered dispersionless dielectrics." IEEE Transactions on Antennas and Propagation 35, no. 8 (1987): 934–46. http://dx.doi.org/10.1109/tap.1987.1144206.

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46

Athanasiadou, E. S., N. Bardis, and I. Arkoudis. "An inverse electromagnetic scattering problem for a layered ellipsoid." Journal of Computational and Applied Mathematics 373 (August 2020): 112314. http://dx.doi.org/10.1016/j.cam.2019.06.030.

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47

Weiyan, Wang, and Zhang Shourong. "The inverse electromagnetic scattering of inhomogeneous dielectric thin tubes." Journal of Electronics (China) 6, no. 4 (1989): 337–42. http://dx.doi.org/10.1007/bf02778917.

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48

Treumann, Rudolf A., Wolfgang Baumjohann, and Yasuhito Narita. "Inverse scattering problem in turbulent magnetic fluctuations." Annales Geophysicae 34, no. 8 (2016): 673–89. http://dx.doi.org/10.5194/angeo-34-673-2016.

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Abstract. We apply a particular form of the inverse scattering theory to turbulent magnetic fluctuations in a plasma. In the present note we develop the theory, formulate the magnetic fluctuation problem in terms of its electrodynamic turbulent response function, and reduce it to the solution of a special form of the famous Gelfand–Levitan–Marchenko equation of quantum mechanical scattering theory. The last of these applies to transmission and reflection in an active medium. The theory of turbulent magnetic fluctuations does not refer to such quantities. It requires a somewhat different formul

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49

Zhong, Yu, and Xudong Chen. "MUSIC Imaging and Electromagnetic Inverse Scattering of Multiple-Scattering Small Anisotropic Spheres." IEEE Transactions on Antennas and Propagation 55, no. 12 (2007): 3542–49. http://dx.doi.org/10.1109/tap.2007.910488.

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50

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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