The inverse discrete transmission eigenvalue problem for absorbing media

DOI10.1080/17415977.2017.1309397zbMath1394.78014OpenAlexW2605324376MaRDI QIDQ4563442

Guangsheng Wei, Zhaoying Wei

Publication date: 1 June 2018

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2017.1309397

zbMATH Keywords

inverse spectral problemtransmission eigenvalueabsorbing mediadiscrete versionthe extended Euclidean algorithm

Mathematics Subject Classification ID

Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (2)

A new approach to the inverse discrete transmission eigenvalue problem ⋮ The uniqueness for inverse discrete exterior transmission eigenvalue problems in spherically symmetric media

Cites Work

• Qualitative methods in inverse scattering theory. An introduction
• Inverse acoustic and electromagnetic scattering theory.
• On the existence of transmission eigenvalues
• The uniqueness for inverse discrete transmission eigenvalue problems
• Reconstruction of the wave speed from transmission eigenvalues for the spherically-symmetric variable-speed wave equation
• The interior transmission eigenvalue problem for absorbing media
• On the discrete one-dimensional inverse transmission eigenvalue problem
• The Interior Transmission Problem for Regions with Cavities
• The Existence of an Infinite Discrete Set of Transmission Eigenvalues
• The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation
• Optimal finite difference grids for direct and inverse Sturm$ndash$Liouville problems
• The Interior Transmission Problem and Inverse Scattering from Inhomogeneous Media
• On the use of transmission eigenvalues to estimate the index of refraction from far field data
• Transmission Eigenvalues
• A uniqueness theorem on the eigenvalues of spherically symmetric interior transmission problem in absorbing medium
• Transmission Eigenvalues for Operators with Constant Coefficients
• A Visualization Method for Breast Cancer Detection Using Microwaves
• Transmission eigenvalues for Maxwell’s equations in isotropic absorbing media with frequency-dependent electrical parameters
• Inverse spectral analysis for the transmission eigenvalue problem
• On the continuum limit of a discrete inverse spectral problem on optimal finite difference grids

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