A fast, high-order quadrature sampled pre-corrected fast-Fourier transform for electromagnetic scattering

2003 ◽  
Vol 36 (5) ◽  
pp. 343-349 ◽  
Author(s):  
Stephen Gedney ◽  
Aiming Zhu ◽  
Wee-Hua Tang ◽  
Gang Liu ◽  
Peter Petre
Keyword(s):  
Fourier Transform ◽  
Fast Fourier Transform ◽  
Electromagnetic Scattering ◽  
High Order

scholarly journals Fitting Green’s Function FFT Acceleration Applied to Anisotropic Dielectric Scattering Problems

2015 ◽  
Vol 2015 ◽  
pp. 1-8
Author(s):  
Shu-Wen Chen ◽  
Feng Lu ◽  
Yao Ma
Keyword(s):  
Integral Equation ◽  
Fourier Transform ◽  
Fast Fourier Transform ◽  
Green’S Function ◽  
Green's Function ◽  
Electromagnetic Scattering ◽  
Volume Integral ◽  
Scattering Problems ◽  
Volume Integral Equation ◽  
Anisotropic Dielectric

A volume integral equation based fast algorithm using the Fast Fourier Transform of fitting Green’s function (FG-FFT) is proposed in this paper for analysis of electromagnetic scattering from 3D anisotropic dielectric objects. For the anisotropic VIE model, geometric discretization is still implemented by tetrahedron cells and the Schaubert-Wilton-Glisson (SWG) basis functions are also used to represent the electric flux density vectors. Compared with other Fast Fourier Transform based fast methods, using fitting Green’s function technique has higher accuracy and can be applied to a relatively coarse grid, so the Fast Fourier Transform of fitting Green’s function is selected to accelerate anisotropic dielectric model of volume integral equation for solving electromagnetic scattering problems. Besides, the near-field matrix elements in this method are used to construct preconditioner, which has been proved to be effective. At last, several representative numerical experiments proved the validity and efficiency of the proposed method.

ELECTROMAGNETIC SCATTERING FROM BURIED WIRES

Geophysics ◽  
1978 ◽  
Vol 43 (4) ◽  
pp. 767-781 ◽  
Author(s):  
Raymond D. Watts
Keyword(s):  
Fourier Transform ◽  
Plane Wave ◽  
Fast Fourier Transform ◽  
Electromagnetic Fields ◽  
Electromagnetic Scattering ◽  
Transverse Electric ◽  
Layered Earth ◽  
Source Field

The fast Fourier transform is used to compute the electromagnetic fields scattered by a long straight conductor buried in a layered earth. The source field is a transverse‐electric plane wave. A conductor buried less than 0.25 skin‐depths disturbs the ambient fields significantly. The position and depth of the conductor can be determined from the observed fields. A method for including several conductors, including their interactions, is discussed.

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