An inverse uniqueness on the index of refraction with a transition region. Issue 3 (3rd March 2016)

• Record Type: Journal Article
• Authors: Chen, Lung-Hui
• Is Part Of: Applicable analysis. Volume 95:Issue 3(2016)
• Page Start: 545
• Page End: 561
• Publication Date: 2016-03-03
• Subjects: inverse problem -- interior transmission eigenvalue -- value distribution theory -- transition point -- Cartwright-Levinson theory -- indicator diagram; 35P25 -- 35R30 -- 34B24; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2015.1022154
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : The research focuses on an inverse eigenvalue problem in an interior transmission phenomenon. There is an asymptotic structure on the eigenvalues. Given a sufficient quantity of transmission eigenvalues, we prove an uniqueness on the index of refraction in some inhomogeneous medium as an uniqueness problem in entire function theory. Interior transmission eigenvalues are intersection points of two entire functions.