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Pulse propagation in particulate medium

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Abstract

The transmission of laser pulses through a particulate medium is investigated. Our approach is based on the propagation equation for a two-frequency mutual coherence function in a plane-wave limit. The integro-differential equation satisfied by the incoherent part of the coherence function is solved by the eigenvector–eigenvalue method. By explicitly employing the cylindrical symmetry conditions, we arrive at an efficient way of integrating numerically the integro-differential equation. An approximation, analogous to Glauber’s approximation in quantum collision theory, is derived. This results in a very simple algorithm, which enables one to predict correctly the pulse broadening. Numerical results pertinent to propagation in radiational fog are presented.

© 1980 Optical Society of America

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