Improved Forward Backward Method With Spectral Acceleration for Scattering From Randomly Rough Lossy Surfaces

An efficient and accurate iterative method is proposed for computing electromagnetic (EM) scattering from 1-D dielectric rough surfaces. The communication improves the convergence of forward backward method, applying it to the problem of 2D wave scattering from random lossy rough surfaces using a co...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation Vol. 61; no. 7; pp. 3922 - 3926
Main Authors: Brennan, Conor, Dung Trinh-Xuan, Mullen, Marie, Bradley, Patrick, Condon, Marissa
Format: Journal Article
Language:English
Published: New York, NY IEEE 01.07.2013
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Acceleration
Algorithms
Applied classical electromagnetism
Applied sciences
Convergence
Correlation
Diffraction, scattering, reflection
Electromagnetic scattering
Electromagnetic wave propagation, radiowave propagation
Electromagnetism; electron and ion optics
Exact sciences and technology
forward backward method (FBM)
Fundamental areas of phenomenology (including applications)
integral equation (IE)
iterative method
method of moment (MoM)
Physics
Radiocommunications
Radiowave propagation
Rough surfaces
Scattering
Studies
Surface roughness
Surface waves
Telecommunications
Telecommunications and information theory
Electromagnetic wave scattering
Multiplication
Moment method
Matrix product
Eigenvalue
Lossy medium
Iterative method
Numerical method
Rough surface
Computational complexity
forward backward method (FBM)
Electromagnetic wave propagation
Random surface
Electromagnetic scattering
Wave scattering
Convergence rate
Matrix method
method of moment (MoM)
Integral equation
integral equation (IE)
ISSN:0018-926X, 1558-2221
Online Access:Get full text
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Summary:An efficient and accurate iterative method is proposed for computing electromagnetic (EM) scattering from 1-D dielectric rough surfaces. The communication improves the convergence of forward backward method, applying it to the problem of 2D wave scattering from random lossy rough surfaces using a coupled surface integral equation formulation. A matrix splitting technique is introduced to reduce the number of matrix-vector multiplications required by the correction step and Spectral Acceleration (SA) is applied to reduce the computational complexity of each matrix-vector product from O(N 2 ) to O(N). The proposed method is called the improved forward backward method with spectral acceleration (IFBM-SA). The numerical analysis demonstrates that IFBM-SA has a higher convergence rate than FBM-SA and a recent technique which is used as a reference method. Moreover, IFBM-SA is more robust than the reference method and has smaller storage requirements meaning that it can readily scale to larger problems. In addition an eigenvalue based analysis is provided illustrating how the improvement step works.
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ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2013.2255091