Bistatic electromagnetic scattering from a three-dimensional perfect electric conducting object above a Gaussian rough surface based on the Kirchhoff–Helmholtz and electric field integral equation

2011 ◽  
Vol 21 (3) ◽  
pp. 389-404 ◽  
Author(s):  
Xi-Min Li ◽  
Chuang-Ming Tong ◽  
Shu-Hong Fu ◽  
Jing-Jing Li
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Rough Surface ◽  
Electromagnetic Scattering ◽  
Three Dimensional ◽  
Electric Field Integral Equation ◽  
Electric Conducting ◽  
Field Integral

Analysis of Convolution Quadrature Applied to the Time-Domain Electric Field Integral Equation

2012 ◽  
Vol 11 (2) ◽  
pp. 383-399 ◽  
Author(s):  
Q. Chen ◽  
P. Monk ◽  
X. Wang ◽  
D. Weile
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Time Domain ◽  
Electromagnetic Scattering ◽  
Optimal Order ◽  
Electric Field Integral Equation ◽  
Optimal Order Of Convergence ◽  
Convolution Quadrature ◽  
The Time Domain ◽  
Field Integral

AbstractWe show how to apply convolution quadrature (CQ) to approximate the time domain electric field integral equation (EFIE) for electromagnetic scattering. By a suitable choice of CQ, we prove that the method is unconditionally stable and has the optimal order of convergence. Surprisingly, the resulting semi discrete EFIE is dispersive and dissipative, and we analyze this phenomena. Finally, we present numerical results supporting and extending our convergence analysis.

A Comparison of Error Estimators for Method of Moments

2020 ◽  
Vol 35 (11) ◽  
pp. 1406-1407
Author(s):  
Charles Braddock ◽  
Andrew Peterson
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Method Of Moments ◽  
Numerical Solutions ◽  
Three Dimensional ◽  
Correlation Coefficients ◽  
Local Error ◽  
Electric Field Integral Equation ◽  
Error Estimators ◽  
Field Integral

Local error estimators are investigated for use with numerical solutions of the electric field integral equation. Three-dimensional test targets include a sphere, disk, NASA almond, and a Lockheed Martin Expedite aircraft model. Visual plots and correlation coefficients are used to assess the accuracy of the estimators. It is shown that the inexpensive discontinuity estimators are usually as accurate as the residual method.

scholarly journals P-FFT Accelerated EFIE with a Novel Diagonal Perturbed ILUT Preconditioner for Electromagnetic Scattering by Conducting Objects in Half Space

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Lan-Wei Guo ◽  
Yongpin Chen ◽  
Jun Hu ◽  
Joshua Le-Wei Li
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Half Space ◽  
Electromagnetic Scattering ◽  
High Performance ◽  
Three Dimensional ◽  
Scattering Problems ◽  
Geometrical Structures ◽  
Incomplete Lu Factorization ◽  
Field Integral

A highly efficient and robust scheme is proposed for analyzing electromagnetic scattering from electrically large arbitrary shaped conductors in a half space. This scheme is based on the electric field integral equation (EFIE) with a half-space Green’s function. The precorrected fast Fourier transform (p-FFT) is first extended to a half space for general three-dimensional scattering problems. A novel enhanced dual threshold incomplete LU factorization (ILUT) is then constructed as an effective preconditioner to improve the convergence of the half-space EFIE. Inspired by the idea of the improved electric field integral operator (IEFIO), the geometrical-optics current/principle value term of the magnetic field integral equation is used as a physical perturbation to stabilize the traditional ILUT perconditioning matrix. The high accuracy of EFIE is maintained, yet good calculating efficiency comparable to the combined field integral equation (CFIE) can be achieved. Furthermore, this approach can be applied to arbitrary geometrical structures including open surfaces and requires no extra types of Sommerfeld integrals needed in the half-space CFIE. Numerical examples are presented to demonstrate the high performance of the proposed solver among several other approaches in typical half-space problems.

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