Transient electromagnetic scattering from dielectric objects using the electric field Integral equation with Laguerre polynomials as temporal basis functions

2004 ◽  
Vol 52 (9) ◽  
pp. 2329-2340 ◽  
Author(s):  
Baek Ho Jung ◽  
T.K. Sarkar ◽  
Young-Seek Chung ◽  
M. Salazar-Palma ◽  
Zhong Ji ◽  
...  
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Electromagnetic Scattering ◽  
Laguerre Polynomials ◽  
Basis Functions ◽  
Electric Field Integral Equation ◽  
Transient Electromagnetic ◽  
Dielectric Objects ◽  
Temporal Basis ◽  
Field Integral

A Modified Hybrid Integral Equation to Electromagnetic Scattering from Composite PEC-Dielectric Objects Containing Closed-Open PEC Junctions

2021 ◽  
Vol 36 (6) ◽  
pp. 642-649
Author(s):  
Jinbo Liu ◽  
Hongyang Chen ◽  
Hui Zhang ◽  
Jin Yuan ◽  
Zengrui Li
Keyword(s):  
Integral Equation ◽  
Electromagnetic Scattering ◽  
Surface Integral ◽  
Electric Conductor ◽  
Electric Field Integral Equation ◽  
Surface Integral Equation ◽  
Hybrid Integral ◽  
Fast Solution ◽  
Dielectric Objects ◽  
Field Integral

To efficiently analyze the electromagnetic scattering from composite perfect electric conductor (PEC)-dielectric objects with coexisting closed-open PEC junctions, a modified hybrid integral equation (HIE) is established as the surface integral equation (SIE) part of the volume surface integral equation (VSIE), which employs the combined field integral equation (CFIE) and the electric field integral equation (EFIE) on the closed and open PEC surfaces, respectively. Different from the traditional HIE modeled for the objects whose closed and open PEC surfaces are strictly separate, the modified HIE can be applied to the objects containing closed-open junctions. A matrix equation is obtained by using the Galerkin’s method of moments (MoM), which is augmented with the spherical harmonics expansion-based multilevel fast multipole algorithm (SE-MLFMA), improved by the mixed-potential representation and the triangle/tetrahedron-based grouping scheme. Because in the improved SE-MLFMA, the memory usage for storing the radiation patterns of basis functions is independent of the SIE type in the VSIE, it is highly appropriate for the fast solution of the VSIE that contains the HIE. Various numerical experiments demonstrate that during the calculation of composite objects containing closed-open PEC junctions, the application of the modified HIE in the VSIE can give reliable results with fast convergence speed.

A stable solution of time domain electric field integral equation using weighted Laguerre polynomials

2007 ◽  
Vol 49 (11) ◽  
pp. 2789-2793 ◽  
Author(s):  
Young-Seek Chung ◽  
Yoonju Lee ◽  
Joonho So ◽  
Joonyeon Kim ◽  
Chang-Yul Cheon ◽  
...  
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Time Domain ◽  
Laguerre Polynomials ◽  
Stable Solution ◽  
Electric Field Integral Equation ◽  
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.

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