A fast IE-FFT algorithm for solving PEC scattering problems

This paper presents a novel fast integral equation method, termed IE-FFT, for solving large electromagnetic scattering problems. Similar to other fast integral equation methods, the IE-FFT algorithm starts by partitioning the basis functions into multilevel clustering groups. Subsequently, the entir...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on magnetics 2005-05, Vol.41 (5), p.1476-1479
Main Authors: Seo, Seung Mo, Lee, Jin-Fa
Format: Article
Language:English
Subjects:
Algorithms
Cartesian
Character generation
Clustering algorithms
Couplings
Cross-disciplinary physics: materials science
rheology
Discretization
Electromagnetic scattering
Exact sciences and technology
fast Fourier transform
Green's functions
Impedance
integral equation
Integral equations
Kernel
Magnetism
Materials science
method of moments
Other topics in materials science
Partitioning
Partitioning algorithms
Physics
Polynomials
Samarium
Taylor series
Wave propagation
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:This paper presents a novel fast integral equation method, termed IE-FFT, for solving large electromagnetic scattering problems. Similar to other fast integral equation methods, the IE-FFT algorithm starts by partitioning the basis functions into multilevel clustering groups. Subsequently, the entire impedance matrix is decomposed into two parts: one for the self and/or near field couplings, and one for well-separated group couplings. The IE-FFT algorithm employs two discretizations one is for the unknown current on an unstructured triangular mesh, and the other is a uniform Cartesian grid for interpolating the Green's function. By interpolating the Green's function on a regular Cartesian grid, the couplings between two well-separated groups can be computed using the fast Fourier transform (FFT). Consequently, the IE-FFT algorithm does not require the knowledge of addition theorem. It simply utilizes the Toeplitz property of the coefficient matrix and is therefore applicable to both static and wave propagation problems.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2005.844564