Fast Fourier Transform Based Iterative Method for Electromagnetic Scattering From 1D Flat Surfaces

2012 ◽  
Vol 60 (11) ◽  
pp. 5464-5467 ◽  
Author(s):  
Dung Trinh-Xuan ◽  
Patrick Bradley ◽  
Conor Brennan
Keyword(s):  
Fourier Transform ◽  
Iterative Method ◽  
Fast Fourier Transform ◽  
Electromagnetic Scattering ◽  
Flat Surfaces

Fast Fourier Transform Based Numerical Methods for Elasto-Plastic Contacts of Nominally Flat Surfaces

2008 ◽  
Vol 75 (1) ◽  
Author(s):  
W. Wayne Chen ◽  
Shuangbiao Liu ◽  
Q. Jane Wang
Keyword(s):  
Fourier Transform ◽  
Numerical Methods ◽  
Fast Fourier Transform ◽  
Analytical Solutions ◽  
Three Dimensional ◽  
Stress And Strain ◽  
Two Dimensional ◽  
Response Functions ◽  
Strain Fields ◽  
Flat Surfaces

This paper presents a three-dimensional numerical elasto-plastic model for the contact of nominally flat surfaces based on the periodic expandability of surface topography. This model is built on two algorithms: the continuous convolution and Fourier transform (CC-FT) and discrete convolution and fast Fourier transform (DC-FFT), modified with duplicated padding. This model considers the effect of asperity interactions and gives a detailed description of subsurface stress and strain fields caused by the contact of elasto-plastic solids with rough surfaces. Formulas of the frequency response functions (FRF) for elastic/plastic stresses and residual displacement are given in this paper. The model is verified by comparing the numerical results to several analytical solutions. The model is utilized to simulate the contacts involving a two-dimensional wavy surface and an engineering rough surface in order to examine its capability of evaluating the elasto-plastic contact behaviors of nominally flat surfaces.

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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