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• W1964487212 abstract "We consider a smooth perturbation δe(x, y, z) of a constant background permittivity e=e0 that varies periodically with x, does not depend on y, and is supported on a finite-length interval in z. We investigate the theoretical and numerical determination of such perturbation from (several) fixed frequency y-invariant electromagnetic waves.By varying the direction and frequency of the probing radiation a scattering matrix is defined. By using an invariant-imbedding technique we derive an operator Riccati equation for such scattering matrix. We obtain a theoretical uniqueness result for the problem of determining the perturbation from the scattering matrix.We also investigate a numerical method for performing such reconstruction using multi-frequency information of the truncated scattering matrix. This relies on ideas of regularization and recursive linearization. Numerical experiments are presented validating such approach." @default.
• W1964487212 created "2016-06-24" @default.
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• W1964487212 date "2003-08-01" @default.
• W1964487212 modified "2023-09-27" @default.
• W1964487212 title "On the Inverse Problem for Scattering of Electromagnetic Radiation by a Periodic Structure" @default.
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• W1964487212 doi "https://doi.org/10.1111/1467-9590.t01-1-00230" @default.
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