Scattering From Multilayer Rough Surfaces Based on the Extended Boundary Condition Method and Truncated Singular Value Decomposition

Electromagnetic scattering from rough surfaces has been investigated extensively for the past decades. There exist analytical solutions to rough surface scattering such as small perturbation method (SPM) or Kirchhoff approximation (KA). These solutions, however, are limited to either small or large...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2006-10, Vol.54 (10), p.2917-2929
Main Authors: Chih-Hao Kuo, Moghaddam, M.
Format: Article
Language:English
Subjects:
Applied sciences
Boundary conditions
Decomposition
Diffraction, scattering, reflection
Electromagnetic scattering
Exact sciences and technology
Extended boundary condition
Ice surface
Kirchhoff's Law
layered media
Mathematical analysis
Mathematical models
multilayer rough surfaces
Multilayers
Nonhomogeneous media
Perturbation methods
Radiocommunications
Radiowave propagation
Rough surfaces
Roughness
Scanning probe microscopy
Scattering
Singular value decomposition
Studies
Surface roughness
Telecommunications
Telecommunications and information theory
truncated singular value decomposition (TSVD)
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Electromagnetic scattering from rough surfaces has been investigated extensively for the past decades. There exist analytical solutions to rough surface scattering such as small perturbation method (SPM) or Kirchhoff approximation (KA). These solutions, however, are limited to either small or large roughness regimes. Recent efforts have been put forth to study electromagnetic scattering of multilayer rough surface in the application of deep soil moisture and ice property estimation. In this paper, multilayer rough surface scattering is analyzed based on the extended boundary condition method (EBCM) and truncated singular value decomposition. The method of extended boundary condition can accurately handle scattering from a slightly rough surface. For mild and large roughness regime, ill-conditioned matrices can arise from EBCM. In this paper, we present a regularization scheme to mitigate this ill-conditioning effect via truncated singular value decomposition (TSVD).The truncation parameters are set to enforce power conservation relations across all rough interfaces. Bistatic scattering coefficients are then obtained by incoherently averaging the power computed from the resulting Floquet modes in the scattering directions. Therefore, the electromagnetic wave interactions in multilayer rough surfaces are analyzed in a systematic way. Finally, the results are validated against the analytical SPM solution to two-rough-interface rough surface scattering. In addition, the formulation is extended to solve scattering from three-rough-interface rough surfaces. Several results are reported
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2006.882160