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.