Path-Integral Treatment of Intensity Behavior for Rays in a Sound Channel,
CALIFORNIA UNIV SANTA CRUZ DEPT OF PHYSICS
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The intensity coherence function ICF of the acoustic wave function from a point source is derived by the path-integral technique for transmission through internal waves in the presence of a sound channel. Separations in time are emphasized, although separations in transverse horizontal position, vertical position, and acoustic frequency are discussed. Approximate intensity coherence times, lengths, and bandwidths due to internal-wave fluctuations are derived. Analytic approximations suitable for computer coding are presented for the micropath focussing parameter gamma, which controls the deviation of higher intensity moments from the Rayleigh-distribution values.