Propagation through an anisotropic random medium. An integro–differential formulation
- 1 July 1976
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 17 (7) , 1186-1189
- https://doi.org/10.1063/1.523029
Abstract
In a previous paper [J. Math. Phys. 15, 1901 (1975)] we derived an equation governing the mutual coherence function, {Γ̂}, of an initial plane wave signal propagating in an anisotropic random medium. In Eq. (49) of that paper we made a strong narrow‐angle approximation which allowed us to derive an ordinary differential equation for {Γ̂}. Here we derive an integro–differential equation for {Γ̂} in which this approximation is not made. We show that for the horizontal scattering cases considered in the previous paper the approximation is valid. The vertical spectrum, however, is changed somewhat.This publication has 2 references indexed in Scilit:
- Propagation of radiation from a finite beam or source through an anisotropic random mediumThe Journal of the Acoustical Society of America, 1974
- Propagation through an anisotropic random mediumJournal of Mathematical Physics, 1974