Abstract

It is demonstrated, through terms of second order in the fluctuating part of the index of refraction, that the first and second statistical moment, as obtained from the Dyson and the Bethe-Salpeter equation, respectively, of an optical wave propagating in a random medium are identical to that obtained directly from the extended Huygens-Fresnel principle.

© 1972 Optical Society of America

Second Moment of a Wave Propagating in a Random Medium*

Wilbur P. Brown
J. Opt. Soc. Am. 61(8) 1051-1059 (1971)

Mutual Coherence Function of a Finite Cross Section Optical Beam Propagating in a Turbulent Medium

H. T. Yura
Appl. Opt. 11(6) 1399-1406 (1972)

Higher-Order Moments of the Inverse of a Linear Stochastic Operator

John J. McCoy
J. Opt. Soc. Am. 62(1) 30-40 (1972)

Moment Equations for Waves Propagated in Random Media*

Wilbur P. Brown
J. Opt. Soc. Am. 62(1) 45-54 (1972)

Fourth Moment of a Wave Propagating in a Random Medium*

W. P. Brown
J. Opt. Soc. Am. 62(8) 966-971 (1972)