Teresa Regiñska, Kazimierz Regiñski:

A Cauchy problem for the Helmholtz equation: application to analysis of light propagation in solids

A problem of determination of radiation field inside a solid from experimental data given on a part of surface surrounding this solid is considered. The model problem has been formulated as a Cauchy problem for the Helmholtz equation. For solving it, an approximate method based on regularization in frequency space is formulated and analyzed. Convergence and stability of the method are proved under a suitable choice of regularization parameter and numerical implementation of the method is presented. Possible application of the method to problems of propagation of laser beams in solids is discussed.

This report was written In May 2006 when the authors visited the group of Prof. Dr. Reinhold Schneider, Scientific Computing, University of Kiel. The work of the first autor was supported by EC FP6 MC-ToK programme SPADE2, MTKD-CT-2004-014508.

Mail an Jens Burmeister

[Thu Feb 19 18:56:37 2009]

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