A Global Uniqueness on Spherically Stratified Dielectric Medium in Time-Harmonic Maxwell Equation with Interior Transmission Eigenvalues

2012/07/10 by Lung-Hui Chen, Chen, Lung-Hui
Mathematics · #34B24 #35P25 #35R30 #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP) #math.FA #math.SP #msc:34B24 #msc:35P25 #msc:35R30

paper · pdf · doi:10.48550/arxiv.1207.2381

arxiv created 2012/12/06 · arxiv updated 2012/12/07

Abstract

A set of regularly distributed transmission eigenvalues generates a density function. We use such a density function inversely determines the form of the indicator function. Using the entire function theory, we reduce an uniqueness problem with interior transmission eigenvalues induced by time-harmonic Maxwell equation to an uniqueness problem in entire function theory. In such an inverse problem, the definite integral of the square root of refraction index is the main parameter.

Related

• An Uniqueness Result on Spherically Stratified Media with Interior Transmission Eigenvalues
• An Uniqueness Result on Spherically Stratified Media in Constant Absorbing Background with Interior Transmission Eigenvalues
• Uniqueness Theorem: With Normal Components Specified on External Spherical Surface
• A Fixed Energy Fixed Angle Inverse Uniqueness in Interior Transmission Problem
• An inverse electromagnetic scattering problem for a bi-periodic inhomogeneous layer on a perfectly conducting plate