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

Author(s)

Monish Ranjan Chatterjee, University of DaytonFollow
Lauren H. Quinn, State University of New York at Binghamton
Partha P. Banerjee, University of DaytonFollow
Ting-Chung Poon, Virginia Polytechnic Institute and State University

Document Type

Article

Publication Date

5-1989

Publication Source

Applied Optics

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.

Copyright

Copyright © 1989, Optical Society of America

Publisher

Optical Society of America

Volume

28

Peer Reviewed

yes

Issue

10

eCommons Citation

Chatterjee, Monish Ranjan; Quinn, Lauren H.; Banerjee, Partha P.; and Poon, Ting-Chung, "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" (1989). Electrical and Computer Engineering Faculty Publications. 158.
https://ecommons.udayton.edu/ece_fac_pub/158