Scattering of electromagnetic waves from a half space of densely distributed dielectric scatterers
Article first published online: 7 DEC 2012
Copyright 1983 by the American Geophysical Union.
Volume 18, Issue 6, pages 1260–1272, November-December 1983
How to Cite
1983), Scattering of electromagnetic waves from a half space of densely distributed dielectric scatterers, Radio Sci., 18(6), 1260–1272, doi:10.1029/RS018i006p01260., and (
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 8 JUN 1983
- Manuscript Received: 1 MAR 1983
The scattering of a plane wave obliquely incident on a half space of densely distributed spherical dielectric scatterers is studied. The quasi-crystalline approximation is applied to truncate the hierarchy of multiple scattering equations, and the Perçus-Yevick and the Verlet-Weis results are used to represent the pair distribution function. The coherent reflected wave is studied with these approximations. The incoherent scattered wave is calculated with the distorted Born approximation. In the low-frequency limit, closed-form expressions are obtained for the effective propagation constants, the coherent reflected wave, and the bistatic scattering coefficients. Results at higher frequencies are calculated numerically. The advantage of the present approach is that in the low-frequency limit, it reproduces the effects of specular reflection, Fresnel reflection coefficient, Brewster angle, and Clausius-Mosotti relation. In addition to the classical results, the bistatic scattering coefficients are also calculated. The theory is also applied to match backscattering data from dry snow at microwave frequencies.