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Wave-kinetic method, phase-space path integrals, and stochastic wave propagation

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Abstract

A phase-space path-integral approach to random wave propagation is introduced as a natural extension of the wave-kinetic method. By virtue of its relationship to the Wigner distribution function, the latter is limited to the computation of second-order statistical moments associated with a nonlocal, complex, stochastic, Schrödinger-like equation. The phase-space path approach, on the other hand, permits the asymptotic evaluation of second- and higher-order statistical observables in a manner analogous to that followed in the recently formulated configuration-space path-integral approaches to the conventional local, complex, stochastic, parabolic equation.

© 1985 Optical Society of America

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