Title :
A Systematic Study of the Lowest Order Small Slope Approximation for a Pierson–Moskowitz Spectrum
Author :
Wang, Yanqiu ; Broschat, Shira L.
Author_Institution :
Sch. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA
Abstract :
In an earlier work, a model for calculating scattering from rough surfaces at very low grazing angles was presented. The utility of this model depends on the lowest order small slope approximation (SSA1). In order to ascertain when this new model, called the SSA+, is applicable, we present a systematic study of the accuracy of the SSA1 bistatic scattering cross section for 1-D surfaces for a Pierson-Moskowitz roughness spectrum and the Dirichlet boundary condition. Different frequencies, angles of incidence, and wind speeds are combined to examine 112 different cases. The ranges of scattering angles for which the SSA1 is accurate are given, and an analysis of when the SSA+ can be used is presented. All data and plots are available online.
Keywords :
boundary-value problems; remote sensing; 1D surfaces; Dirichlet boundary condition; Pierson-Moskowitz roughness spectrum; SSA+; SSA1 bistatic scattering cross section; lowest order small slope approximation; Acoustic scattering; Approximation methods; Boundary conditions; Electromagnetic scattering; Monte Carlo methods; Polarization; Rough surfaces; Scattering; Sea surface; Surface roughness; Surface waves; Wind speed; Pierson–Moskowitz spectrum; SSA+; rough surface scattering; small slope approximation (SSA);
Journal_Title :
Geoscience and Remote Sensing Letters, IEEE
DOI :
10.1109/LGRS.2010.2053193
