Reconstruction of a Discontinuous Refractive Index Using Modified Transmission Eigenvalues

Authors

  • Yun Chol Kim Department of Applied Mathematics, Kim Chaek University of Technology, Pyongyang, Democratic People’s Republic of Korea https://orcid.org/0000-0002-2432-9543
  • Chol Won O Department of Applied Mathematics, Kim Chaek University of Technology, Pyongyang, Democratic People’s Republic of Korea https://orcid.org/0000-0002-4329-215X

DOI:

https://doi.org/10.26713/jims.v17i4.3358

Abstract

We consider the inverse problem of reconstructing a spherically symmetric and discontinuous refractive index using modified interior transmission eigenvalues. We first investigate the asymptotic behavior of the characteristic function. Then we establish the uniqueness of a discontinuous refractive index from modified transmission eigenvalues without assuming that the contrast has a fixed sign. Finally, numerical examples are presented to verify the uniqueness results.

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References

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Published

2025-12-30
CITATION

How to Cite

Kim, Y. C., & O, C. W. (2025). Reconstruction of a Discontinuous Refractive Index Using Modified Transmission Eigenvalues. Journal of Informatics and Mathematical Sciences, 17(4), 375–398. https://doi.org/10.26713/jims.v17i4.3358

Issue

Vol. 17 No. 4 (2025)

Section

Research Article

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