Abstract
The differential equation for the fourth-order statistical moment of the field of a finite beam propagating in a statistically homogeneous and isotropic two-dimensional random medium is solved numerically. Results are presented for the variance and covariance of irradiance scintillations of a Gaussian beam that propagates in a medium with a Gaussian correlation function. It is shown that the range dependence of the variance is highly dependent on the ratio D/ln (D is the initial beam width; ln is the correlation length of the medium) and approaches that of a plane wave for large enough D/ln. An increase in the variance toward the edge of the beam is also manifested.
© 1980 Optical Society of America
Full Article | PDF ArticleMore Like This
Moshe Tur
J. Opt. Soc. Am. A 2(12) 2161-2170 (1985)
Mark Beran
J. Opt. Soc. Am. 60(4) 518-521 (1970)
W. P. Brown
J. Opt. Soc. Am. 62(8) 966-971 (1972)