Abstract

By means of a series of Fourier and inverse Fourier transformations, and by recourse to simple physical arguments concerning statistical stationarity and isotropy and the linearity of the scattering process, we are able to show that the propagation of the mutual coherence function for a plane wave through a turbid medium is governed by a pair of linear, first-order, one-dimensional, simultaneous differential equations. A sample solution to the equation is presented, and it is shown from a limiting form of this solution how the turbidity parameters in the differential equation can be obtained from a single scattering analysis.

© 1977 Optical Society of America

Propagation of the Mutual Coherence Function Through Random Media*

Mark J. Beran
J. Opt. Soc. Am. 56(11) 1475-1480 (1966)

Propagation of an Infinite Plane Wave in a Randomly Inhomogeneous Medium

D. L. Fried and J. D. Cloud
J. Opt. Soc. Am. 56(12) 1667-1676 (1966)

Generalized spherical wave mutual coherence function

M. H. Lee, J. F. Holmes, and J. R. Kerr
J. Opt. Soc. Am. 67(9) 1279-1281 (1977)

Scattering from a moving spherical particle by two crossed coherent plane waves

W. P. Chu and D. M. Robinson
Appl. Opt. 16(3) 619-626 (1977)

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)