Complex-valued path integrals and Monte Carlo studies of the propagation and localization of classical waves in 1D and 2D random media

Vladimir Sergeevich Filinov

doi:10.1117/12.197386

21 December 1994 Complex-valued path integrals and Monte Carlo studies of the propagation and localization of classical waves in 1D and 2D random media

Vladimir Sergeevich Filinov

Author Affiliations +

Proceedings Volume 2312, Optics in Atmospheric Propagation and Random Phenomena; (1994) https://doi.org/10.1117/12.197386
Event: Satellite Remote Sensing, 1994, Rome, Italy

Abstract

The purpose of this work is to develop and to test the approach combining path integral technique and complex-valued Monte Carlo method for calculation highest moments of the Green function of stochastic wave equation for a media with random small-scale inhomogenities in the background of large-scale inhomogenities. Calculations of the second and forth moments of the Green function and scintillation index have been performed for 1D and 2D case in the framework of three models: model of stochastic wave equation and models of parabolic and Markov approximations. The finiteness of the correlation radius of inhomogenities has been shown to be the reason of the significant difference between Markov approximation and two others. Comparison has been made in a good agreement with reliable results for 1D media. The Monte Carlo results have shown the existing singularities at the localisation centres and forming exponential decay of the second moment from the distances of about wave length. The unexpected sharp oscillations interrupting the exponential decay of the Green function moments have been obtained at the several tens average distances between scatterers from centre localisation. The effect of weak large-scale inhomogenities on behaviour of second moment have been also investigated.

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Vladimir Sergeevich Filinov "Complex-valued path integrals and Monte Carlo studies of the propagation and localization of classical waves in 1D and 2D random media", Proc. SPIE 2312, Optics in Atmospheric Propagation and Random Phenomena, (21 December 1994); https://doi.org/10.1117/12.197386

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