Random Rays, Geometric Acoustics, and the Parabolic Wave Equation
NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
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A theory of random rays, based on the stochastic mechanical interpretation of the parabolic wave equation, is proposed. The relation of these rays to those of geometric acoustics is discussed. The Feynman-Kac formula is used to represent the acoustic wave field as a Wiener integral, and it is shown that this representation agrees with the Markov approximation in a simple case.
- Statistics and Probability