Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking

DOI10.1093/imamat/hxx022zbMath1486.78003arXiv1701.05301OpenAlexW2581458748MaRDI QIDQ5009174

Hongyu Liu, Jingzhi Li, Yuliang Wang, Xiaofei Li

Publication date: 19 August 2021

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.05301

zbMATH Keywords

electromagnetic scattering Maxwell system interior transmission eigenvalues invisibility cloaking

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Composite media; random media in optics and electromagnetic theory (78A48) Waves and radiation in optics and electromagnetic theory (78A40)

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Isotropic Cloak Materials Design Based on the Numerical Optimization Method of the Inverse Medium Problem ⋮ On local and global structures of transmission eigenfunctions and beyond ⋮ Invisibility Cloaking and Transformation Optics for Three Dimensional Manifolds and Applications in Cosmology ⋮ Solvability of interior transmission problem for the diffusion equation by constructing its Green function ⋮ The interior transmission eigenvalue problem for elastic waves in media with obstacles ⋮ Electromagnetic interior transmission eigenvalue problem for an inhomogeneous medium with a conductive boundary ⋮ Computation of the interior transmission eigenvalues for elastic scattering in an inhomogeneous medium containing an obstacle

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