Fourth- and higher-order small-perturbation solution for scattering from dielectric rough surfaces

2003 ◽  
Vol 20 (12) ◽  
pp. 2330 ◽  
Author(s):  
Metin A. Demir ◽  
Joel T. Johnson
Keyword(s):  
Small Perturbation ◽  
Rough Surfaces ◽  
Higher Order ◽  
Perturbation Solution

Transformation of Rice’s small perturbation solution for rough surface scattering into the high frequency reciprocal physical and geometric optics solutions

2012 ◽  
Vol 90 (6) ◽  
pp. 557-564
Author(s):  
Ezekiel Bahar
Keyword(s):  
Small Perturbation ◽  
High Frequency ◽  
Rough Surfaces ◽  
Geometrical Optic ◽  
Low Frequency ◽  
Perturbation Solution ◽  
Physical Optics ◽  
Surface Element ◽  
Scattering Coefficients ◽  
Scatter Coefficient

A step by step transformation of the low frequency small height and slope perturbation solution into the high frequency reciprocal and dual, physical and geometrical optic solutions is presented. The familiar Kirchhoff approximations for the fields impressed by the incident plane wave upon the rough surfaces results in nonreciprocal solutions. It is shown that the surface element scattering coefficients based on the Kirchhoff approximations agree with the corresponding reciprocal physical optics solutions only at the stationary phase, specular points on the rough surfaces. While the Kirchhoff approximations and physical optics approximations are based on the characterization of the surface fields by Fresnel reflection coefficients, the corresponding surface element scatter coefficient derived for the small perturbation solution and the full wave solutions are based on the imposition of boundary conditions for the tangential components of the electric and magnetic fields. A flow graph schematically depicting the relationships between these solutions for the scattered fields is also presented.

Second-order small perturbation method for transmission from dielectric rough surfaces

2011 ◽  
Vol 21 (4) ◽  
pp. 668-689 ◽  
Author(s):  
Ping Chen ◽  
Yan Tian ◽  
Lei Hua ◽  
Dawei Song ◽  
Qingxia Li ◽  
...  
Keyword(s):  
Perturbation Method ◽  
Small Perturbation ◽  
Rough Surfaces ◽  
Second Order ◽  
Small Perturbation Method

Small-perturbation solution for steady nonuniform infiltration into soil surface of a general shape

1991 ◽  
Vol 27 (7) ◽  
pp. 1665-1670 ◽  
Author(s):  
Rony Wallach ◽  
Moshe Israeli ◽  
Dan Zaslavsky
Keyword(s):  
Small Perturbation ◽  
Soil Surface ◽  
Perturbation Solution ◽  
General Shape
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