Share Email Print

Proceedings Paper

Numerical Solutions Of The Fourth Moment Equation
Author(s): Moshe Tur; Mark J. Beran
Format Member Price Non-Member Price
PDF $17.00 $21.00

Paper Abstract

Numerical solutions of the fourth moment differential equation are obtained for a two-dimensional homogeneous and isotropic random medium which is characterized by a Gaussian correlation function. In addition to the covariance of the intensity fluctuations, the full spatial dependence of the fourth moment of the propagating field is described for both plane waves as well as for finite beams. Results are also presented for the interesting geometry in which the four observation points do not form a parallelogram. In the case of an initially Gaussian beam, the dependence of the structure of the fourth moment on the beam diameter is investigated for several propagation distances. The results for the intensity fluctuations index σ21 , are compared with various formulations of the extended Huygens-Fresnel principle.

Paper Details

Date Published: 12 July 1983
PDF: 8 pages
Proc. SPIE 0410, Laser Beam Propagation in the Atmosphere, (12 July 1983); doi: 10.1117/12.935758
Show Author Affiliations
Moshe Tur, Stanford University (United States)
Mark J. Beran, Tel Aviv University (United States)

Published in SPIE Proceedings Vol. 0410:
Laser Beam Propagation in the Atmosphere
John Carl Leader, Editor(s)

© SPIE. Terms of Use
Back to Top