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A Density Theorem on the Eigenvalues of Spherically Symmetric Interior Transmission Problem in Absorbing Medium

2012/04/26 by Lung-Hui Chen, Chen, Lung-Hui
Engineering · Mathematics · Physics and Astronomy · #Electromagnetic Scattering and Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Microwave Imaging and Scattering Analysis #Numerical methods in inverse problems #math.FA

paper · pdf · doi:10.48550/arxiv.1204.5856

openalex publication_date 2012/04/26 · arxiv created 2013/07/01 · arxiv updated 2013/07/02 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We describe the asymptotic distribution of the eigenvalues of interior transmission problem in absorbing medium. We apply the Cartwright's theory and the technique from asymptotic periodic entire function theory. We find a Weyl's type of density theorem on counting the eigenvalues for spherically symmetric interior transmission problem in absorbing medium.

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