Accurate evaluation of modal green’s function and its gradient for electromagnetic scattering by body of revolution

2007 ◽  
Author(s):  
M. S. Tong ◽  
W. C. Chew
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Electromagnetic Scattering ◽  
Body Of Revolution ◽  
Accurate Evaluation

Green’s Function Integral Equation Methods for Electromagnetic Scattering Problems

2018 ◽  
pp. 197-250
Author(s):  
Andrei V. Lavrinenko ◽  
Jesper Lægsgaard ◽  
Niels Gregersen ◽  
Frank Schmidt ◽  
Thomas Søndergaard
Keyword(s):  
Integral Equation ◽  
Green’S Function ◽  
Green's Function ◽  
Electromagnetic Scattering ◽  
Scattering Problems ◽  
Integral Equation Methods

Electromagnetic Scattering from Perfectly Conducting Periodic Rough Surfaces Using Improved Complex Images Method

2014 ◽  
Vol 989-994 ◽  
pp. 3777-3781
Author(s):  
Lin Li ◽  
Wen Chao Zheng
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Electromagnetic Scattering ◽  
Image Method ◽  
Finite Series ◽  
Periodic Surfaces ◽  
Complex Image ◽  
Image Technique ◽  
Close Form ◽  
Complex Images

In this paper, an improved complex image method to derive closed form periodic Green’s function for problem of scattering from perfectly conducting periodic surfaces is considered. The complex image technique represents a close-form periodic Green’s function consisting of a finite series of real sources and two finite series of complex sources with complex locations and amplitudes. Then the integral equation with the complex images periodic Green’s function in the kernel is solved by the method of moments. Results and computational times obtained by this improved complex image method and the previous one are compared with those obtained by the spectral Kummer-Poisson’s method. Results show that the improved complex image method is more accurately than the previous one.

The efficient implementation of IE-FFT algorithm with combined field integral equation for solving electromagnetic scattering problems

2020 ◽  
pp. 1-7
Author(s):  
Seung Mo Seo
Keyword(s):  
Integral Equation ◽  
Green’S Function ◽  
Green's Function ◽  
Electromagnetic Scattering ◽  
Cartesian Grid ◽  
Memory Storage ◽  
Scattering Problems ◽  
Cpu Time ◽  
Interaction Terms ◽  
Field Integral

Abstract An integral equation-fast Fourier transform (IE-FFT) algorithm is applied to the electromagnetic solutions of the combined field integral equation (CFIE) for scattering problems by an arbitrary-shaped three-dimensional perfect electric conducting object. The IE-FFT with CFIE uses a Cartesian grid for known Green's function to considerably reduce memory storage and speed up CPU time for both matrix fill-in and matrix vector multiplication when used with a generalized minimal residual method. The uniform interpolation of the Green's function on an equally spaced Cartesian grid allows a global FFT for field interaction terms. However, the near interaction terms do not take care for the singularity of the Green's function and should be adequately corrected. The IE-FFT with CFIE does not always require a suitable preconditioner for electrically large problems. It is shown that the complexity of the IE-FFT with CFIE is found to be approximately O(N1.5) and O(N1.5log N) for memory and CPU time, respectively.

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