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phaseless far field pattern

European Journal of Applied Mathematics (1)

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1 results

Inverse obstacle backscattering problems with phaseless data
JAEMIN SHIN
Journal:

European Journal of Applied Mathematics / Volume 27 / Issue 1 / February 2016

Published online by Cambridge University Press:

31 July 2015, pp. 111-130
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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.