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Detection of thin high contrast dielectrics from boundary measurements
Journal article   Open access   Peer reviewed

Detection of thin high contrast dielectrics from boundary measurements

David M Ambrose, Eesha Das Gupta, Shari Moskow, Valentina Ozornina and Gideon Simpson
Journal of Physics Communications, v 3(11), p115016
25 Nov 2019
url
https://doi.org/10.1088/2399-6528/ab3f13View
Published, Version of Record (VoR)CC BY V4.0 Open

Abstract

Helmholtz high contrast scattering
We develop an efficient inversion method for thin high contrast scatterers when the contrast is on the order of the reciprocal of the thickness of the scatterer. We extend prior theory for the Helmholtz equation to arbitrary bounded domains and multiple scatterers in two and three dimensions to obtain a fast forward solver with complexity of one dimension lower. The lower-dimensional approximation is then paired with optimization to form the basis for parameter inversion. We show numerical results for the forward and inverse problems in two dimensions and describe extensions to Maxwell.

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Physics, Multidisciplinary
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