# The linear sampling method for cracks

@article{Cakoni2003TheLS, title={The linear sampling method for cracks}, author={Fioralba Cakoni and David Colton}, journal={Inverse Problems}, year={2003}, volume={19}, pages={279-295} }

We consider the inverse scattering problem of determining the shape of an infinite cylinder having an open arc as cross section from a knowledge of the TM-polarized scattered electromagnetic field corresponding to time-harmonic incident plane waves propagating from arbitrary directions. We assume that the arc is a (possibly) partially coated perfect conductor and develop the linear sampling method, which was originally developed for solving the inverse scattering problem for obstacles with…

## 128 Citations

Mathematical analysis of scattering problems for partially coated obstacles and cracks

- Physics
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We consider the scattering problem of time-harmonic electromagnetic waves from an infinite cylinder having an open arc and a bounded domain in R2 as cross section. To this end, we solve a mixed…

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Consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open crack and a bounded domain in as cross section. We assume that the crack is divided into…

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Abstract In this paper we consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open arc in R 2 as the cross section. We assume that the arc is…

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Abstract We consider the inverse scattering problem of determining the shape of a partially coated obstacle D . To this end, we solve a scattering problem for the Helmholtz equation where the…

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We consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having a mixed open crack (or arc) in R2 as the cross section. The crack is made up of two parts, and…

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