Reconstruction of modified transmission eigenvalues using Cauchy data
Document Type
Article
Publication Date
1-1-2023
Abstract
The modified transmission eigenvalue (MTE) problem was introduced in [S. Cogar, D. Colton, S. Meng and P. Monk, Modified transmission eigenvalues in inverse scattering theory, Inverse Problems 33 (2017), no. 12, Article ID 125002] and used as a target signature for nondestructive testing. In this paper, we study the inverse spectral problem to reconstruct the modified transmission eigenvalues using Cauchy data. We propose a reciprocity gap functional method and show that the MTEs can be determined by solving some linear ill-posed integral equations. Numerical examples for both absorbing and non-absorbing media are presented to validate the effectiveness and robustness of the proposed method.
Publication Title
Journal of Inverse and Ill-Posed Problems
Recommended Citation
Liu, J.,
Liu, Y.,
&
Sun, J.
(2023).
Reconstruction of modified transmission eigenvalues using Cauchy data.
Journal of Inverse and Ill-Posed Problems.
http://doi.org/10.1515/jiip-2022-0014
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/17140