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

Vadim V. Dudorov; Valerii V. Kolosov

doi:10.1117/12.411946

29 December 2000 Error of the ray-tracing technique for the problem of partially coherent radiation propagating through inhomogeneous media

Vadim V. Dudorov, Valerii V. Kolosov

Author Affiliations +

Proceedings Volume 4341, Seventh International Symposium on Atmospheric and Ocean Optics; (2000) https://doi.org/10.1117/12.411946
Event: 7th International Symposium on Atmospheric and Ocean Optics, 2000, Tomsk, Russian Federation

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%.

Citation Download Citation

Vadim V. Dudorov and Valerii V. Kolosov "Error of the ray-tracing technique for the problem of partially coherent radiation propagating through inhomogeneous media", Proc. SPIE 4341, Seventh International Symposium on Atmospheric and Ocean Optics, (29 December 2000); https://doi.org/10.1117/12.411946

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available