High-frequency beam propagation in complex random structures

Reuven Mazar; Alexander Bronshtein

doi:10.1117/12.351048

23 June 1999 High-frequency beam propagation in complex random structures

Reuven Mazar, Alexander Bronshtein

Proceedings Volume 3609, Optical Pulse and Beam Propagation; (1999) https://doi.org/10.1117/12.351048
Event: Optoelectronics '99 - Integrated Optoelectronic Devices, 1999, San Jose, CA, United States

Abstract

Ray trajectories, as has been shown in the recently formulated Stochastic Geometrical Theory of Diffraction (SGTD), play an important role in determining the propagation properties of high-frequency wave fields and their paired measures. As in the case of deterministic GTD, the main concern is the construction of high frequency asymptotic propagators relating the values of the random field and its statistical measured at some observation plane to their source distributions at the initial plane. We start with the parabolic approximation performed in local coordinates around the curved ray path connecting a source with an arbitrarily located observer in the deterministic background medium. The solution strategy involves the ray- centered coordinates for a typical ray with extraction of the average phase accumulation along that ray. We present a reference wave method to obtain an approximate solution of the parabolic wave equation in a homogeneous background random medium. These solutions are further applied for modeling propagation of a directional beam in a waveguide with randomly varying interior. We show that statistical propagation characteristics can be modeled in terms of stochastic rays and guided modes.

Citation Download Citation

Reuven Mazar and Alexander Bronshtein "High-frequency beam propagation in complex random structures", Proc. SPIE 3609, Optical Pulse and Beam Propagation, (23 June 1999); https://doi.org/10.1117/12.351048

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