Abstract

Pure‐tone response in a multipath channel, wherein by virtue of reflection or refraction many paths connect the source to any receiver point, is highly variable due to interference between the components transmitted along different paths. A statistical measure of these fluctuations is the spatial coherence—the averaged product of the complex response field evaluated at two spatially lagged points. Estimates of the coherence are readily formed by combining (i) a field description in which the average response “energy” is expressed as a density in wavenumber or propagation direction, and (ii) the hypothesis that the local properties of each component are those of a free plane wave. This procedure models the field as being locally homogeneous, but with statistical parameters that vary slowly as a consequence of refraction and attenuation. Analytical estimates of coherence have been made for several canonical problems of ocean acoustics: the isospeed channel with flat bottom; the bigradient duct with a limiting ray.

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