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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
Applied Optics
  • Monish Ranjan Chatterjee, University of Dayton
  • Lauren H. Quinn, State University of New York at Binghamton
  • Partha P. Banerjee, University of Dayton
  • Ting-Chung Poon, Virginia Polytechnic Institute and State University
Document Type
Article
Publication Date
5-1-1989
Abstract
Beginning 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.
Inclusive pages
1773-1777
ISBN/ISSN
1559-128X
Comments

Permission documentation is on file.

Publisher
Optical Society of America
Peer Reviewed
Yes
Citation Information
Monish Ranjan 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" Applied Optics Vol. 28 Iss. 10 (1989)
Available at: http://works.bepress.com/partha_banerjee/96/