Nth-order multifrequency coherence functions: A functional path integral approach | Zendy

Conrad M. Rose | Zendy; Ioannis M. Besieris | Zendy

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Nth-order multifrequency coherence functions: A functional path integral approach

Author(s) -

Conrad M. Rose,

Ioannis M. Besieris

Publication year - 1979

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.524213

Subject(s) - coherence (philosophical gambling strategy) , path integral formulation , mutual coherence , mathematics , quadratic equation , mathematical analysis , coherence time , functional integration , series (stratigraphy) , path (computing) , integral equation , physics , quantum mechanics , geometry , quantum , computer science , statistics , paleontology , biology , programming language

A functional (or path) integral applicable to a broad class of randomly perturbed media is constructed for the nth‐order multifrequency coherence function (a quantity intimately linked to nth‐order pulse statistics). This path integral is subsequently carried out explicitly in the case of a nondispersive, deterministically homogeneous medium, with a simplified (quadratic) Kolmogorov spectrum, and a series of new results are derived. Special cases dealing with the two‐frequency mutual coherence function for plane and beam pulsed waves are considered, and comparisons are made with previously reported findings.

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