Validity of the geometric optics limits for the case of inhomogeneous absorbing media

Vadim V. Dudorov; Valerii V. Kolosov

doi:10.1117/12.370486

19 November 1999 Validity of the geometric optics limits for the case of inhomogeneous absorbing media

Proceedings Volume 3983, Sixth International Symposium on Atmospheric and Ocean Optics; (1999) https://doi.org/10.1117/12.370486
Event: Sixth International Symposium on Atmospheric and Ocean Optics, 1999, Tomsk, Russian Federation

Abstract

Radiation propagating through inhomogeneously absorbing media is investigated within of the geometric optics approach. On the basis of the equation obtained for a real ray trajectory, numerical analysis of propagation features is carried out for various symmetrical distributions of complex dielectric constant such as parabolic, Gaussian and power low distribution. On the basis of the numerical simulations the validity of the solutions constructed on real geometric rays is determined for a propagation problem of coherent and partially coherent radiation. It is shown that the solutions of the propagation problem within the geometric optics limit approach the exact solutions for partially coherent radiation faster than for the coherent one. Recognizing that the equation for the real ray trajectory is not the equation of the second order, we show that two initial conditions do not suffice the problem, namely index point and initial slope angle for the unique definition of the real ray trajectory. On the basis of the analytical solution obtained for the case of parabolic distribution of dielectric constant it was proved analytically that the ray trajectory in highly absorbing inhomogeneous media depends not only on the complex dielectric constant distribution, but also on the wave phase front distribution.

Citation Download Citation

Vadim V. Dudorov and Valerii V. Kolosov "Validity of the geometric optics limits for the case of inhomogeneous absorbing media", Proc. SPIE 3983, Sixth International Symposium on Atmospheric and Ocean Optics, (19 November 1999); https://doi.org/10.1117/12.370486

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