论文信息 - A Compact Symplectic High-Order Scheme for Time-Domain Maxwell's Equations

A Compact Symplectic High-Order Scheme for Time-Domain Maxwell's Equations

A fourth-order compact symplectic finite-difference time-domain (CS-FDTD) method for modeling long-range propagation is proposed. Theoretical analyses of numerical stability and dispersion are presented, and the comparisons to Fang's high-order FDTD and symplectic FDTD (S-FDTD) method are provided. One-dimensional (1-D) numerical simulation is performed to investigate the distortion of the long-range pulse propagation. It indicates the improved performance of the CS-FDTD approach compared to the S-FDTD method.

Peng Liu | Yunliang Long | Jianying Wang

[1] Jeffrey L. Young,et al. Toward the construction of a fourth-order difference scheme for transient EM wave simulation: staggered grid approach , 1997 .

[2] Andrew F. Peterson,et al. Relative accuracy of several finite-difference time-domain methods in two and three dimensions , 1993 .

[3] Allen Taflove,et al. Computational Electrodynamics the Finite-Difference Time-Domain Method , 1995 .

[4] Yuzo Yoshikuni,et al. A three-dimensional fourth-order finite-difference time-domain scheme using a symplectic integrator propagator , 2001 .

[5] R. J. Joseph,et al. Advances in Computational Electrodynamics: The Finite - Di erence Time - Domain Method , 1998 .

[6] Zhixiang Huang,et al. Survey on Symplectic Finite-Difference Time-Domain Schemes for Maxwell's Equations , 2008, IEEE Transactions on Antennas and Propagation.

[7] Levent Sevgi,et al. Realistic surface modeling for a finite-difference time-domain wave propagator , 2003 .

[8] Levent Sevgi,et al. Groundwave propagation modeling: problem-matched analytical formulations and direct numerical techniques , 2002 .