Transmission eigenvalues with artificial background for explicit\n material index identification

2017/11/08 by Lorenzo Audibert, Audibert, Lorenzo, Lucas Chesnel +3 · 1 citation
Physics and Astronomy · Mathematics · Engineering · #Electromagnetic Scattering and Analysis #Numerical methods in inverse problems #Electromagnetic Simulation and Numerical Methods

paper · pdf · doi:10.48550/arxiv.1711.03012

Abstract

We are interested in the problem of retrieving information on the refractive\nindex n of a penetrable inclusion embedded in a reference medium from\nfarfield data associated with incident plane waves. Our approach relies on the\nuse of transmission eigenvalues (TEs) that carry information on n and that\ncan be determined from the knowledge of the farfield operator F. In this\nnote, we explain how to modify F into a farfield operator\nF^art=F-\F, where \F is computed numerically, corresponding\nto well chosen artificial background and for which the associated TEs provide\nmore accessible information on n.\n

Cited by

• Analysis of the transmission eigenvalue problem for biharmonic scattering considering penetrable scatterers

Related

• Analysis and computation of the transmission eigenvalues with a\n conductive boundary condition
• Uniqueness in Determining Refractive Indices by Formally-determined Far-field Data
• Modified electromagnetic transmission eigenvalues in inverse scattering\n theory
• Analysis of two transmission eigenvalue problems with a coated boundary\n condition
• Approximation of the zero-index transmission eigenvalues with a\n conductive boundary and parameter estimation