SUPPRESSION OF DISPERSION IN FDTD SOLUTIONS OF MAXWELL EQUATIONS

被引：4

作者：

CASTILLO, S

OMICK, S

机构：

[1] Department of Electrical and Computer Engineering, New Mexico State University, Las Cruces, NM 88003, Dept. 3-0

来源：

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS | 1994年 / 8卷 / 9-10期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1163/156939394X01000

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Yee's finite difference time-domain method is widely used for numerically solving Maxwell's equations. The Yee algorithm is numerically dispersive which limits its usefulness for modeling wide-band electromagnetic phenomena. In this paper, we describe the use of flux-corrected transport for suppressing the numerical dispersion associated with the Yee algorithm. Flux-corrected transport uses the computed results from a numerically dispersive finite-difference algorithm and a numerically diffusive finite-difference algorithm at each time step to arrive at a final solution. In this case, the dispersive algorithm used is the original Yee FDTD method. Results are given comparing the accuracy of the FDTD algorithm with flux-corrected transport versus the unmodified Yee algorithm for propagating pulsed-type plane waves in two dimensional scattering problems.

引用

页码：1193 / 1221

页数：29

共 12 条

[1]

Yee K.S., Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media, IEEE Transactions on Antennas and Propagation, AP-14, pp. 302-307, (1966)

[2]

Taflove A., Brodwin M.E., Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell’s equations, IEEE Transactions on Microwave Theory and Techniques, Ml-r-23, 8, pp. 623-630, (1975)

[3]

Taflove A., Umashankar K.R., The finite-difference time-domain method for numerical modeling of electromagnetic wave interactions, Electromagnetics, 10, pp. 105-126, (1990)

[4]

Zalesak S.T., Fully multidimensional flux-corrected transport algorithms for fluids, Journal of Computational Physics., 31, pp. 335-362

[5]

Omick S., Castillo S., A new finite-difference time-domain algorithm for the accurate modeling of wide-band electromagnetic phenomena, IEEE Trans. Electromagn. Compat., EMC-35, 2, (1993)

[6]

Lax P.D., Wendroff B., Systems of conservation laws, Comm. Pure Apl. Math., 13, pp. 217-237, (1960)

[7]

Hariharan S.I., Absorbing boundary conditions for exterior problems, ICASE Report, No. 85–33, (1985)

[8]

Engquist B., Majda A., Absorbing boundary conditions for the numerical simulation of wave, Mathematics of Computation, 31, 139, pp. 629-651, (1977)

[9]

Mur G., Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations, IEEE Trans. on Electromagn. Compat., EMC-23, 4, pp. 377-382, (1981)

[10]

Liao Z.P., Wong H.L., Yang B.P., Yuan Y.F., A transmitting boundary for transient wave analysis, Scientia Sinica, 27, 10, pp. 1063-1076, (1984)

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