Abstract
The article is devoted to an inverse problem of reconstruction of inhomogeneity parameters of a body in semi-infinite rectangular waveguide. We suggest a new numerical method for solving this one. The inverse problem is reduced to the solving of volume singular integral equation of first kind and additional procedure of calculation the parameters of inhomogeneity. The numerical results are presented.
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REFERENCES
J. Baena, L. Jelinek, R. Marques, and F. Medina, ‘‘Near-perfect tunneling and amplification of evanescent electromagnetic waves in a wave guide filled by a metamaterial: Theory and experiments,’’ Phys. Rev. B 72, 075116 (2005).
E. Eves, K. Murphy, and V. Yakovlev, ‘‘Reconstruction of complex permittivity with neural-network-controlled FDTD modelling,’’ Power Electromag. Energy 4 (41), 22 (2007).
Tao Pan, Guo-Ding Xu, Tao-Cheng Zang, and Lei Gao, ‘‘Study of a slab waveguide loaded with dispersive anisotropic,’’ Appl. Phys. A 95, 367–372 (2009).
D. Usanov, A. Skripal, and A. Romanov, ‘‘Complex permettivity of composites based on dielectric matrices with carbon nanotrubes,’’ Tech. Phys. 56, 102–106 (2011).
P. Werner, ‘‘Resonance phenomena in local perturbations of parallel-plane waveguide,’’ Math. Methods Appl. Sci. 19, 773–823 (1996).
Yu. G. Smirnov, M. Yu. Medvedik, and M. A. Moskaleva, ‘‘Two-step method for permittivity determination of an inhomogeneous body placed in a rectangular waveguide,’’ Lobachevskii J. Math. 39 (8), 1140–1147 (2018).
Yu. G. Smirnov, M. Yu. Medvedik, and M. A. Moskaleva, ‘‘Recovery of the permittivity of an anisotropic inhomogeneous body in a rectangular waveguide,’’ inProceedings of the 5th Russian Supercomputing Days Conference RuSCDays 2019, Moscow (2019), pp. 339–349.
Yu. G. Smirnov, M. Yu. Medvedik, and A. A. Tsupak, ‘‘Non-iterative two-step method for solving scalar inverse 3D diffraction problem,’’ Inverse Problems Sci. Eng. (2020, in press). https://doi.org/10.1080/17415977.2020.1727466
R. O. Evstigneev and M. Yu. Medvedik, ‘‘Reconstruction of inhomogeneity parameters by measurements of near field outside the body,’’ Springer Proc. Math. Stat.243, 29–38 (2018).
Yu. G. Smirnov, Mathematical Methods for Electromagnetic Problems (PenzGU, Penza, 2009) [in Russian].
A. S. Ilinsky and Yu. G. Smirnov,Electromagnetic Wave Diffraction by Conducting Screens (VPS, Utrecht, The Netherlands, 1998).
M. Yu. Medvedik and Yu. G. Smirnov, Inverse Problems of Restoring the Dielectric Permeability of an Inhomogeneous Body in a Waveguide (PenzGU, Penza, 2014) [in Russian].
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This study is supported by the Russian Foundation of Basic Research according to the research project number 18-01-00219.
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Medvedik, M.Y., Moskaleva, M.A. Numerical Method for Reconstruction of Inhomogeneity Parameters of a Body Placed in a Semi-Infinite Rectangular Waveguide. Lobachevskii J Math 41, 1371–1376 (2020). https://doi.org/10.1134/S1995080220070288
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DOI: https://doi.org/10.1134/S1995080220070288