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Reconstruction of periodic gratings from one scattered wave

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  • Hettlich, F

Abstract

Iterative regularization schemes are considered based on derivatives with respect to variations of the boundary to reconstruct periodic scattering object from known data of a scattered field. Representations of the required derivatives are presented which help in understanding the ill-posed nature of the problem and which are used numerically by the implementation and investigation of regularized Newton-type iteration schemes. Some numerical examples illustrate the performance of the regularization schemes.

Suggested Citation

  • Hettlich, F, 2004. "Reconstruction of periodic gratings from one scattered wave," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 66(4), pages 315-324.
    • Handle: RePEc:eee:matcom:v:66:y:2004:i:4:p:315-324
    DOI: 10.1016/j.matcom.2004.02.013
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