Reconstruction of the refractive index from transmission eigenvalues for spherically stratified media

DOI10.1515/jiip-2015-0081zbMath1361.34014OpenAlexW2562142972MaRDI QIDQ511029

Xiao-Chuan Xu, Chuan-Fu Yang

Publication date: 14 February 2017

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2015-0081

zbMATH Keywords

inverse spectral problemreconstruction algorithmCauchy datarefractive indextransmission eigenvalue

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (4)

On the stability of the inverse transmission eigenvalue problem from the data of McLaughlin and Polyakov ⋮ On the inverse spectral stability for the transmission eigenvalue problem with finite data ⋮ On the partial inverse problems for the transmission eigenvalue problem of the Schrödinger operator ⋮ On a non-uniqueness theorem of the inverse transmission eigenvalues problem for the Schrödinger operator on the half line

Cites Work

• On the determination of Dirichlet or transmission eigenvalues from far field data
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• Reconstruction of the wave speed from transmission eigenvalues for the spherically-symmetric variable-speed wave equation
• Estimation of transmission eigenvalues and the index of refraction from Cauchy data
• The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation
• On the use of transmission eigenvalues to estimate the index of refraction from far field data
• Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems
• Reconstruction of a Spherically Symmetric Speed of Sound
• The Interior Transmission Eigenvalue Problem
• Distribution of complex transmission eigenvalues for spherically stratified media
• On an open question in the inverse transmission eigenvalue problem
• Complex eigenvalues and the inverse spectral problem for transmission eigenvalues
• Inverse spectral analysis for the transmission eigenvalue problem

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