论文信息 - Path integral approach to multiple scattering

Path integral approach to multiple scattering

Multiple scattering of a wave in a system of scatterers with random, uncorrelated positions is studied with path integrals. The Edwards–Gulyaev expression for the position averaged Green’s function is used to find the density expansion of the complex optical potential. The expansion is in terms of exact medium propagators and scattering matrices in the medium. The first term is the coherent potential approximation. A source dependent generalization of the path integral is used to derive a functional equation for the optical potential. This leads to a hierarchy for correlation functions that involves exact medium propagators and scattering matrices. The simplest truncations yield new integral equations that are generalizations of the coherent potential approximation and are compatible with the density expansion.

E. Gross

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