scholarly journals On the Internal Resonant Modes in Marching-on-in-Time Solution of the Time Domain Electric Field Integral Equation

2013 ◽  
Vol 61 (8) ◽  
pp. 4389-4392 ◽  
Author(s):  
Yifei Shi ◽  
Hakan Bagci ◽  
Mingyu Lu
Keyword(s):  
Integral Equation ◽  
Electric Field ◽  
Time Domain ◽  
Electric Field Integral Equation ◽  
Time Solution ◽  
Resonant Modes ◽  
The Time Domain ◽  
Internal Resonant ◽  
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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