Abstract
We formulate the inverse problem of scattering of electromagnetic fields by thin defects and analyze numerical algorithms used for its solution. It is shown that, in the two-dimensional case, the shape of a thin defect is completely determined by the scattered field given on a certain curve for a fixed value of the wave number. For the solution of the inverse scattering problem, we propose to use the procedure of iterative regularization based on the gradient methods. We deduce expressions for the Fréchet derivative of the operator of direct scattering problem with Dirichlet conditions imposed on the surface of a scatterer.
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Nazarchuk, Z.T., Kulynych, Y.P. Solution of the Inverse Problems of Scattering of Electromagnetic Fields by Elongated Defects. Materials Science 38, 256–266 (2002). https://doi.org/10.1023/A:1020902506624
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DOI: https://doi.org/10.1023/A:1020902506624