Virginia TechRose, C. M.Besieris, Ioannis M.2014-04-092014-04-091979-07-01Rose, C. M.; Besieris, I. M., "Nth-order multifrequency coherence functions: functional path integral approach," J. Math. Phys. 20, 1530 (1979); http://dx.doi.org/10.1063/1.5242130022-2488http://hdl.handle.net/10919/47069A 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.application/pdfenIn CopyrightCoherenceArticle - Refereedhttp://scitation.aip.org/content/aip/journal/jmp/20/7/10.1063/1.524213https://doi.org/10.1063/1.524213