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Inverse obstacle backscattering problems with phaseless data

Published online by Cambridge University Press:  31 July 2015

JAEMIN SHIN
JAEMIN SHIN*
Affiliation:
Department of Mathematical Sciences, Hanbat National University, Daejeon, Republic of Korea email: jaemin.shin@hanbat.ac.kr
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Abstract

In this article, we provide a numerical algorithm to reconstruct a convex sound-soft scatterer from phaseless backscattering data, assuming sufficiently high frequency. Certain uniqueness and existence results for the case of circular scatterers are given as well, based on the asymptotic expansion for the normal derivative of the total field.

Keywords

Inverse obstacle scatteringbackscatteringphaseless far field patternhigh-frequency
Type
Papers
Information
European Journal of Applied Mathematics , Volume 27 , Issue 1 , February 2016 , pp. 111 - 130
Copyright
Copyright © Cambridge University Press 2015 

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