Transient Analysis of Electromagnetic Scattering using Marching-on-in-Order Time-Domain Integral Equation Method with Curvilinear RWG Basis Functions
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Transient Analysis of Electromagnetic Scattering using Marching-on-in-Order Time-Domain Integral Equation Method with Curvilinear RWG Basis FunctionsAbstract
In this paper, a modified marching-onin- order time-domain integral equation method is utilized to analyze transient electromagnetic scattering from arbitrarily shaped objects. The spatial and temporal testing procedures are separate, and both of them are performed with the Galerkin’s method. The curvilinear RWG basis functions are used as spatial basis functions with curved triangular patch modeling. It gives a remarkable reduction to the number of unknowns, also the memory requirement and CPU time, without sacrificing the accuracy. The use of the weighted Laguerre polynomials as temporal basis functions ensures an absolutely stable solution even in late time. Several numerical results, including the single ogive and NASA almond, are given to demonstrate the accuracy and efficiency of the proposed method.
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References
K. S. Yee, “Numerical Solution of Initial
Boundary Value Problems Involving
Maxwell's Equations in Isotropic Media,”
IEEE Trans. Antennas Propagat., vol. AP-14,
pp. 302-307, May 1966.
D. Jiao, J. M. Jin, E. Michielssen, and D. J.
Riley, “Time-Domain Finite-Element
Simulation of Three-Dimensional Scattering
and Radiation Problems using Perfectly
Matched Layers,” IEEE Trans. Antennas
Propagat., vol. 51, no. 2, pp. 296-305, Feb.
S. M. Rao and T. K. Sarkar, “Numerical
Solution of Time Domain Integral Equations
for Arbitrarily Shaped Conductor/Dielectric
Composite Bodies,” IEEE Trans. Antennas
Propagat., vol. 50, no. 12, pp. 1831-1837,
Dec. 2002.
S. M. Rao and D. R. Wilton, “Transient
Scattering by Conducting Surfaces of
Arbitrary Shape,” IEEE Trans. Antennas
Propagat., vol. 39, no. 1, pp. 56-61, Jan.
F. P. Andriulli, K. Cools, F. Olyslager, and E.
Michielssen, “Time Domain Calderón
Identities and their Application to the Integral
Equation Analysis of Scattering by PEC
Objects Part II: Stability,” IEEE Trans.
Antennas Propagat., vol. 57, no. 8, pp. 2365-
, Aug. 2009.
Y. F. Shi, M. Y. Xia, R. S. Chen, E.
Michielssen, and M. Y. Lu, “Stable Electric
Field TDIE Solvers Via Quasi-Exact
Evaluation of MOT Matrix Elements,” IEEE
Trans. Antennas Propagat., vol. 59, no. 2, pp.
-585, Feb. 2011.
S. M. Rao, D. R. Wilton, and A. W. Glisson,
“Electromagnetic Scattering by Surfaces of
Arbitrary Shape,” IEEE Trans. Antennas
Propagat., vol. AP-30, no. 3, pp. 409-418,
May 1982.
G. K. Carvajal, D. J. Duque, and A. J.
Zozaya, “RCS Estimation of 3D Metallic
Targets using the Moment Method and Rao-
Wilton-Glisson Basis Functions,” Applied
Computational Electromagnetic Society
(ACES) Journal, vol. 24, no. 5, pp. 487-492,
Oct. 2009.
S. Wandzura, “Electric Current Basis
Functions for Curved Surfaces,”
ACES JOURNAL, VOL. 26, NO. 5, MAY 2011
Electromagn., vol. 12, no. 1, pp. 77-91, Jan.-
Mar. 1992.
J. M. Song and W. C. Chew, “Moment
Method Solutions using Parametric
Geometry,” J. Electromagn. Waves Appl. ,
vol. 9, no. 1/2, pp. 71-83, Jan.-Feb. 1995.
M. J. Bluck and S. P. Walker, “Time-Domain
BIE Analysis of Large Three-Dimensional
Electromagnetic Scattering Problem,” IEEE
Trans. Antennas Propagat., vol. 45, no. 5, pp.
-901, May 1997.
G. H. Zhang and M. Y. Xia, “An Enhanced
TDIE Solver using Causal-Delayed Temporal
Basis Functions and Curvilinear RWG Spatial
Basis Functions,” Proc. Asia-Pacific
Microwave Conf. , Singapore, pp. 810-813,
Dec. 2009.
S. W. Huang, G. H. Zhang, M. Y. Xia, and C.
H. Chan, “Numerical Analysis of Scattering
by Dielectric Random Rough Surfaces using
Modified SMCG Scheme and Curvilinear
RWG Basis Functions,” IEEE Trans.
Antennas Propagat., vol. 57, no. 10, pp.
-3397, Oct. 2009.
G. H. Zhang and M. Y. Xia, “Time Domain
Integral Equation Solvers using Curvilinear
RWG Spatial Basis Functions and Quadratic
B-Spline Temporal Basis Functions,” Proc.
Asia-Pacific Microwave Conf., Hongkong,
pp. 1-4, Dec. 2008.
B. H. Jung, Y. S. Chung, M. T. Yuan, and T.
K. Sarkar, “Analysis of Transient Scattering
from Conductors using Laguerre Polynomials
as Temporal Basis Functions,” Applied
Computational Electromagnetic Society
(ACES) Journal, vol. 19, no. 2, pp. 84-92, Jul.
Y. S. Chung, T. K. Sarkar, B. H. Jung, M.
Salazar-Palma, Z. Ji, S.M. Jang, and K.J.
Kim, “Solution of Time Domain Electric
Field Integral Equation using the Laguerre
Polynomials,” IEEE Trans. Antennas
Propagat., vol. 52, no. 9, pp. 2319-2328, Sep.
Y. S. Chung, Y. J. Lee, J. H. So, J. Y. Kim,
C. Y. Cheon, B. J. Lee, and T. K. Sarkar, “A
Stable Solution of Time Domain Electric
Field Integral Equation using Weighted
Laguerre Polynomials,” Microwave Opt.
Technol. Lett., vol. 49, no. 11, pp. 2789-2793,
Nov. 2007.
B. H. Jung, Y. S. Chung, and T. K. Sarkar,
“Time-Domain EFIE, MFIE, and CFIE
Formulations using Laguerre Polynomials as
Temporal Basis Functions for the Analysis of
Transient Scattering from Arbitrary Shaped
Conducting Structures,” Prog. Electromagn.
Res., vol. 39, pp. 1-45, 2003


