Cover: Invariant imbedding and wave propagation in stochastic media.

Invariant imbedding and wave propagation in stochastic media.

by Richard Ernest Bellman, Robert E. Kalaba


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An extension of previous results and techniques of the principle of invariant imbedding to include cases involving plane wave propagation in stochastic media. The approach considers the derivation of stochastic functional equations for reflection and transmission coefficients and the obtaining of expected values of appropriate functions of the random state variables. The particular example is discussed where a plane wave is incident on a stratified slab which is characterized by stochastic wave numbers in each stratum.

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