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Deng, Xia; Guo, Jun; Li, Jin; Yan, Guozheng

The linear sampling method for penetrable cylinder with inclusions for obliquely incident polarized electromagnetic waves. (English) Zbl 1491.35451

J. Inverse Ill-Posed Probl. 30, No. 3, 331-349 (2022).
Summary: Consider the scattering of electromagnetic waves by a penetrable homogeneous cylinder at oblique incident. The Maxwell equations are then reduced to a system of a pair of the two-dimensional Helmholtz equations for \(z\)-components of the electric and magnetic field through coupled oblique boundary conditions. This paper studies an inverse problem of recovering the penetrable obstacle from the far-field pattern of the electric field. The well-known linear sampling method is used to solve this problem. Compared with the usual inverse scattering problem, the coupled system and the oblique derivative boundary condition bring difficulties in theoretical analysis. Some numerical examples are presented to illustrate the validity and feasibility of the proposed method.

MSC:

35R30 Inverse problems for PDEs
35J57 Boundary value problems for second-order elliptic systems
35Q61 Maxwell equations
35P25 Scattering theory for PDEs
78A46 Inverse problems (including inverse scattering) in optics and electromagnetic theory

Keywords:

inverse scattering; oblique incidence; coupled boundary condition; linear sampling method; pair of two-dimensional Helmholtz equations
PDFBibTeX XMLCite
\textit{X. Deng} et al., J. Inverse Ill-Posed Probl. 30, No. 3, 331--349 (2022; Zbl 1491.35451)
Full Text: DOI

References:

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