Scintillations of partially coherent signals in nonscattering channels

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Abstract

The quadratic approximation is used to derive a procedure for computing the mean-square intensity in a channel excited by a partially coherent source, using the characteristics (rays of geometrical acoustics) of the four-point coherence equation, and their properties. The procedure is employed to obtain exactly the scintillation field of a partially coherent Gaussian beam emerging from a weak phase screen into a quadratic channel. A simple approximate formula for the mean-square intensity in the farfield of a localized source is derived and tested:It is found to closely reproduce the aforementioned exact result for a quadratic channel, except for the immediate vicinity of focal planes. Various modes of application of the approximate formula are discussed.

Original languageEnglish
Pages (from-to)1399-1405
Number of pages7
JournalJournal of the Acoustical Society of America
Volume81
Issue number5
DOIs
StatePublished - May 1987

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