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Uniqueness theorems for an inverse problem in a doubly periodic structure

Published under licence by IOP Publishing Ltd
, , Citation H Ammari 1995 Inverse Problems 11 823 DOI 10.1088/0266-5611/11/4/013

0266-5611/11/4/823

Abstract

Consider an electromagnetic plane wave incident on a doubly periodic structure in R3. The inverse problem is to determine the shape of the structure from the scattered field. Uniqueness theorems are proved by applying the uniqueness theorem of Cauchy-Kowalewska, by extending Isakov's approach and using a result on local injectivity of maps between finite-dimensional spaces.

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10.1088/0266-5611/11/4/013