Accuracy–efficiency tradeoff of temporal basis functions for time‐marching solvers

An investigation of the impact of the temporal discretization on the marching‐on‐in‐time solution of integral equations is presented. Numerical results that quantify the efficiency–accuracy tradeoff for causal piecewise polynomial and band‐limited interpolatory functions are presented. It is observed that the former is more efficient for low to moderate accuracy levels, and the latter achieves higher, but extrapolation‐limited, accuracy levels. © 2011 Wiley Periodicals, Inc. Microwave Opt Technol Lett 53:1343–1348, 2011; View this article online at wileyonlinelibrary.com. DOI 10.1002/mop.25960

[1]  P. T. Bason,et al.  An error bound for Lagrange interpolation of low-pass functions (Corresp.) , 1972, IEEE Trans. Inf. Theory.

[2]  John J. Knab,et al.  Interpolation of band-limited functions using the approximate prolate series (Corresp.) , 1979, IEEE Trans. Inf. Theory.

[3]  D. Wilton,et al.  Electromagnetic scattering by surfaces of arbitrary shape , 1980 .

[4]  A. C. Woo,et al.  Benchmark radar targets for the validation of computational electromagnetics programs , 1993 .

[5]  Agostino Monorchio,et al.  A space-time discretization criterion for a stable time-marching solution of the electric field integral equation , 1997 .

[6]  E. Michielssen,et al.  Analysis of transient electromagnetic scattering from closed surfaces using a combined field integral equation , 2000 .

[7]  Kin-Lu Wong,et al.  On the impedance bandwidth of a planar inverted-F antenna for mobile handsets , 2002 .

[8]  Mingyu Lu,et al.  Fast analysis of transient electromagnetic scattering phenomena using the multilevel plane wave time domain algorithm , 2003 .

[9]  E. Michielssen,et al.  A novel scheme for the solution of the time-domain integral equations of electromagnetics , 2004, IEEE Transactions on Antennas and Propagation.

[10]  E. Michielssen,et al.  Time domain adaptive integral method for surface integral equations , 2004, IEEE Transactions on Antennas and Propagation.

[11]  E. Bleszynski,et al.  Fast time domain integral equation solver for dispersive media with auxiliary Green functions , 2005 .

[12]  E. Bleszynski,et al.  Fast time domain integral equation solver for dispersive media with auxiliary Green functions , 2005, IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics, 2005..

[13]  A. Ergin,et al.  Exact evaluation of retarded-time potential integrals for the RWG bases , 2006, IEEE Transactions on Antennas and Propagation.

[14]  Polar Integration for Exact Space-Time Quadrature in Time-Domain Integral Equations , 2006, IEEE Transactions on Antennas and Propagation.

[15]  Jianming Jin,et al.  A Leapfrogging-in-Time Integral Equation Solver , 2007, IEEE Antennas and Wireless Propagation Letters.

[16]  E. Michielssen,et al.  Time Domain CalderÓn Identities and Their Application to the Integral Equation Analysis of Scattering by PEC Objects Part II: Stability , 2009, IEEE Transactions on Antennas and Propagation.

[17]  Kin-Lu Wong,et al.  Wideband coupled‐fed PIFA for HAC penta‐band clamshell mobile phone , 2009 .

[18]  Mingyu Lu,et al.  Time Domain Integral Equation Analysis of Scattering From Composite Bodies via Exact Evaluation of Radiation Fields , 2009, IEEE Transactions on Antennas and Propagation.

[19]  E. Michielssen,et al.  A stable marching-on-in-time solver for time domain surface electric field integral equations based on exact integration technique , 2010, 2010 IEEE Antennas and Propagation Society International Symposium.