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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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Details
Title
Detection of thin high contrast dielectrics from boundary measurements
Creators
David M Ambrose - Drexel University
Eesha Das Gupta - Drexel University,3141 Chestnut St, Philadelphia, PA 19104, United States of America
Shari Moskow - Drexel University
Valentina Ozornina - Drexel University
Gideon Simpson - Drexel University
Publication Details
Journal of Physics Communications, v 3(11), p115016
Publisher
IOP Publishing
Number of pages
15
Grant note
1515849; 1715425; 1818716 / Division of Mathematical Sciences (https://doi.org/10.13039/100000121)
Resource Type
Journal article
Language
English
Academic Unit
Mathematics
Web of Science ID
WOS:000498849100001
Scopus ID
2-s2.0-85078327661
Other Identifier
991019167789104721
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