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Error of the ray-tracing technique for the problem of partially coherent radiation propagating through inhomogeneous media
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Paper Abstract

The propagation problem of the partially coherent radiation in inhomogeneous media is investigated in this paper. The error of the ray-tracing technique for solving the equation for coherence function of the second order is estimated. The ray- tracing technique is asymptotically exact since it gives the exact solution in following limiting cases: within the limit of the geometrical optics ((lambda) yields 0), when the coherence length tends to zero, or when the distribution of the medium complex dielectric permeability has a parabolic form. To estimate an error of the ray-tracing technique for both coherence length and wave length not equal to zero and for an arbitrary distribution of the dielectric permeability the comparison of solutions obtained by the ray-tracing technique with exact ones is performed. The exact solutions are obtained for a model propagation problem of a two-dimensional slit beam for which the dimensionality of the equation decreases from five up to three. To solve the coherence function equation the exact splitting method is used in a combination with the fast Fourier transform. It was obtained that the relative error of the power and statistical characteristics calculating by the ray-tracing technique is no more than 15% at worst. For the majority of problems having practical meaning the relative error of the ray-tracing technique does not exceed 3 - 5%.

Paper Details

Date Published: 29 December 2000
PDF: 7 pages
Proc. SPIE 4341, Seventh International Symposium on Atmospheric and Ocean Optics, (29 December 2000); doi: 10.1117/12.411946
Show Author Affiliations
Vadim V. Dudorov, Institute of Atmospheric Optics (Russia)
Valerii V. Kolosov, Institute of Atmospheric Optics (Russia)

Published in SPIE Proceedings Vol. 4341:
Seventh International Symposium on Atmospheric and Ocean Optics
Gennadii G. Matvienko; Mikhail V. Panchenko, Editor(s)

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