Rayleigh-Ritz Optimization Of The Structure-Function For A Kolmogorov Power-Density And an Approximate Analytical Solution For The 2-Point Electric-Field Correlation-Function

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dc.contributorVirginia Techen
dc.contributor.authorChatterjee, M. R.en
dc.contributor.authorQuinn, L. H.en
dc.contributor.authorBanerjee, P. P.en
dc.contributor.authorPoon, Ting-Chungen
dc.contributor.departmentElectrical and Computer Engineeringen
dc.date.accessed2014-02-24en
dc.date.accessioned2014-04-04T15:12:26Zen
dc.date.available2014-04-04T15:12:26Zen
dc.date.issued1989-04-01en
dc.description.abstractBeginning with the exact Kolmogorov power spectrum for an extended random medium (such as interstellar space), the structure function is first expressed as an inverse Fourier-Bessel transform. An approximate series representation involving fractional powers of the transverse coordinate is then optimized by an equivalent Gaussian expansion up to two terms using the Rayleigh-Ritz technique. The domains of validity as well as the coherence profile of the resulting analytical solution of the two-point electric field correlation function are examined. It is shown that the correlation in both the transverse and longitudinal directions persists over distances up to a few orders of magnitude greater than that for a medium described by a Gaussian structure function.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMonish R. Chatterjee, Lauren H. Quinn, Partha P. Banerjee, and Ting-Chung Poon, "Rayleigh-Ritz optimization of the structure function for a Kolmogorov power density and an approximate analytical solution for the two-point electric field correlation function," Appl. Opt. 28, 1773-1777 (1989). doi: 10.1364/AO.28.001773en
dc.identifier.doihttps://doi.org/10.1364/AO.28.001773en
dc.identifier.issn0740-3224en
dc.identifier.urihttp://hdl.handle.net/10919/46956en
dc.identifier.urlhttp://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-28-10-1773en
dc.language.isoenen
dc.publisherOptical Society of Americaen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleRayleigh-Ritz Optimization Of The Structure-Function For A Kolmogorov Power-Density And an Approximate Analytical Solution For The 2-Point Electric-Field Correlation-Functionen
dc.title.serialApplied Opticsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
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