A point source method for inverse acoustic and electromagnetic obstacle scattering problems
R Potthast - IMA Journal of Applied Mathematics, 1998 - academic.oup.com
IMA Journal of Applied Mathematics, 1998•academic.oup.com
We present the mathematical foundation for a point source method to solve some inverse
acoustic and electromagnetic obstacle scattering problems in three dimensions. We
investigate the inverse acoustic scattering problem by a sound-soft and a sound-hard
scatterer and the inverse electromagnetic scattering problem by a perfect conductor. Two
independent approaches to the method are presented which reflect its strong relation to
basic properties of obstacle scattering problems.
acoustic and electromagnetic obstacle scattering problems in three dimensions. We
investigate the inverse acoustic scattering problem by a sound-soft and a sound-hard
scatterer and the inverse electromagnetic scattering problem by a perfect conductor. Two
independent approaches to the method are presented which reflect its strong relation to
basic properties of obstacle scattering problems.
Abstract
We present the mathematical foundation for a point source method to solve some inverse acoustic and electromagnetic obstacle scattering problems in three dimensions. We investigate the inverse acoustic scattering problem by a sound-soft and a sound-hard scatterer and the inverse electromagnetic scattering problem by a perfect conductor. Two independent approaches to the method are presented which reflect its strong relation to basic properties of obstacle scattering problems.
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