NDLI: Application of an extended parabolic equation to the calculation of the mean field and the transverse and longitudinal mutual coherence functions within atmospheric turbulence

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Application of an extended parabolic equation to the calculation of the mean field and the transverse and longitudinal mutual coherence functions within atmospheric turbulence

Content Provider	NASA Technical Reports Server (NTRS)
Author	Manning, Robert M.
Copyright Year	2005
Description	Solutions are derived for the generalized mutual coherence function (MCF), i.e., the second order moment, of a random wave field propagating through a random medium within the context of the extended parabolic equation. Here, "generalized" connotes the consideration of both the transverse as well as the longitudinal second order moments (with respect to the direction of propagation). Such solutions will afford a comparison between the results of the parabolic equation within the pararaxial approximation and those of the wide-angle extended theory. To this end, a statistical operator method is developed which gives a general equation for an arbitrary spatial statistical moment of the wave field. The generality of the operator method allows one to obtain an expression for the second order field moment in the direction longitudinal to the direction of propagation. Analytical solutions to these equations are derived for the Kolmogorov and Tatarskii spectra of atmospheric permittivity fluctuations within the Markov approximation.
File Size	364119
Page Count	25
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_20050216390
Archival Resource Key	ark:/13960/t7cs0sf1w
Language	English
Publisher Date	2005-08-01
Access Restriction	Open
Subject Keyword	Mathematical And Computer Sciences (general) Statistical Analysis Diffraction Propagation Atmospheric Turbulence Optical Communication Distribution Moments Permittivity Kolmogorov Theory Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Technical Report

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