Far-field to Near-field Data Relations for the Inverse Electromagnetic Scattering Problem
Asian Journal of Research and Reviews in Physics,
This paper considers (in general form) the problem of recovering information (size and material parameters) about the scattering object from far-field measurements. The order of solution and functions of each equation for the fields inside and outside the scattering object are discussed. Using well-known mathematical theorems, a simple equation has been derived that connects the far-field data on one side to the near-field data on the other side. Consequently, this equation has been used in an optimization procedure to find the parameters of the dielectric cylinder.
- Electromagnetic wave
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Borden B. Mathematical problems in radar inverse scattering. Inverse Problems. 2001;18(1):1-28.
Greene C, Wiebe P, Burczynski J, et al. Acoustical detection of high-density krill demersal layers in the submarine canyons off georges bank. Science. 1988; 241(4863):359-361.
Verschuur D, Berkhout A. Estimation of multiple scattering by iterative inversion, part ii: Practical aspects and examples. Geophysics. 1997;62(5):1596-1611.
Henriksson T, Joachimowicz N, Conessa C, et al. Quantitative microwave imaging for breast cancer detection using a planar 2.45 GHz system. IEEE Trans. Instrum. Meas. 2010;59(10):2691-2699.
Kagiwada H, Kalaba R, Timko S, et al. Associate memories for system identification: Inverse problems in remote sensing. Mathem. Comp. Modelling. 1990; 14:200–202.
Quarteroni A, Formaggia L, Veneziani A. Complex systems in biomedicine. New York: Springer; 2006.
Wang Y, Chew W. An iterative solution of the two-dimensional electromagnetic inverse scattering problem. Int. J. Imag. Syst. Techn. 1989;1:100-108.
Vogeler M. Reconstruction of the three-dimensional refractive index in electromagnetic scattering by using a propagation–backpropagation method. Inverse Problems. 2003;19:739-753.
Geffrin JM, Chaumet P, Eyraud C, et al. Electromagnetic three-dimensional reconstruction of targets from free space experimental data. Appl. Phys. Lett. 2008; 92:194103(1-4).
Kirsch A, Ritter S. A linear sampling method for inverse scattering from an open arc. Inverse Probl. 2000;16(1):89–105.
Agarwal K, Chen X, Zhong Y. A multipole-expansion based linear sampling method for solving inverse scattering problems. Opt. Expr. 2010;18(6):6366-6381.
Hagemann F, Arens T, Betcke T, et al. Solving inverse electromagnetic scattering problems via domain derivatives. Inverse Probl. 2019;35:084005.
Haddar H. The interior transmission problem for anisotropic Maxwell’s equations and its applications to the inverse problem. Math. Meth. Appl. Sci. 2004;27:2111–2129.
Thanh N, Beilina L, Klibanov M, et al. Reconstruction of the refractive index from experimental backscattering data using a globally convergent inverse method. SIAM J. Sci. Comput. 2014;36(3):B273–B293.
Taflove A, Hagness S. Computational electrodynamics: The finite-difference time-domain method. Boston: Artech House; 2005.
Chen Z, Taflove A, Backman V. Photonic nanojet enhancement of backscattering of light by nanoparticles: A potential novel visible-light ultramicroscopy technique. Opt. Express. 2004;12:1214-1220.
Abramov A, Kostikov A, Yue Y. Scattering of electromagnetic wave by system of core / shell microsphere and nanoparticle. J. Adv. Electromagn. 2020;1(9):32-34.
Richmond J. Scattering by a dielectric cylinder of arbitrary cross section shape. IEEE trans. Ant. Prop. 1965;13(3):334-341.
Abramovits J, Stigan I. Handbook on special functions. Moscow: Nauka; 1979.
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