On Geometrical Properties of Electromagnetic Transmission Eigenfunctions and Artificial Mirage

DOI10.1137/21M1413547zbMath1482.35149arXiv2104.06870OpenAlexW4206311497WikidataQ114074048 ScholiaQ114074048MaRDI QIDQ5024348

Hongyu Liu, Wei Wu, Xianchao Wang, You-Jun Deng

Publication date: 31 January 2022

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06870

zbMATH Keywords

electromagnetic scatteringgeometric structuresurface localizationtransmission eigenfunctionsartificial mirage

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Waves and radiation in optics and electromagnetic theory (78A40) Maxwell equations (35Q61)

Related Items (10)

Stable determination by a single measurement, scattering bound and regularity of transmission eigenfunctions ⋮ Stable determination of an elastic medium scatterer by a single far-field measurement and beyond ⋮ Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications ⋮ Spectral Patterns of Elastic Transmission Eigenfunctions: Boundary Localization, Surface Resonance, and Stress Concentration ⋮ Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm ⋮ Surface concentration of transmission eigenfunctions ⋮ Boundary localization of transmission eigenfunctions in spherically stratified media ⋮ Reconstruction of initial heat distribution via Green function method ⋮ On vanishing near corners of conductive transmission eigenfunctions ⋮ On invariant properties of natural differential operators associated to geometric structures on \(\mathbb{R}^n\)

Uses Software

• Gmsh
• FreeFem++

Cites Work

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