Scattering from analytic and piecewise analytic inhomogeneities
Narek Hovsepyan, Michael S. Vogelius
TL;DR
This paper develops a new technique to analyze wave scattering from highly regular inhomogeneities in the two-dimensional Helmholtz equation, with applications to various example scenarios.
Contribution
The paper introduces a novel method for determining scattering from analytic and piecewise analytic inhomogeneities in 2D Helmholtz problems.
Findings
Effective technique for regular inhomogeneities
Applicable to multiple example cases
Advances understanding of wave scattering
Abstract
We study scattering for the linear Helmholtz operator in two dimensions and develop a technique, which can be used to ascertain scattering of a given incident wave from very regular inhomogeneities. This technique is then applied to a number of interesting examples.
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Taxonomy
TopicsNumerical methods in inverse problems · Spectral Theory in Mathematical Physics · Electromagnetic Scattering and Analysis