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Reconstructing parameters of a medium from incomplete spectral information
Authors:G Freiling  V Yurko
Institution:1. Fachbereich Mathematik, Universit?t Duisburg, D-47048, Duisburg, Germany
2. Department of Mathematics, Saratov University, 410600, Saratov, Russia
Abstract:The problem of the synthesis of a stratified medium with specified amplitude and phase properties is investigated. The wave propagation in the medium is described by a system of differential equations. The synthesis problem considered in the paper relates to inverse problems of spectral analysis with incomplete spectral information. Using the contour integral method we study properties of spectral characteristics and obtain algorithms for the solution of the synthesis problem for differential equations with singularities.
Keywords:
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