Complex-valued Monte Carlo method and modified path integrals in the studies of wave localization in random media

摘要

The purpose of this work is to develop and to test the approach combining path integral technique and complex-valued Monte Carlo method for calculating the moments of the Green function of stochastic wave equation for random media with the large-scale inhomogeneities. The numerical results for the second and fourth moment have been obtained in the framework of the three models: Markov approximation, parabolic, and Hankel's function approximation with cluster integrals. The finiteness of the correlation radius has been shown to be the reason for significant difference between Markov approximation and the two others. Comparison has been made in good agreement with reliable results for the 1-D case.