Application of the symplectic finite-difference time-domain scheme to electromagnetic simulation

作者：Sha, Wei E. I.^*; Huang, Zhixiang; Wu, Xianhang; Chen, Mingsheng

来源：Journal of Computational Physics, 2007, 225(1): 33-50.

DOI：10.1016/j.jcp.2006.11.027

• symplectic integrator
• high-order difference
• long-term simulation
• energy conservation
• radiation and scattering

An explicit fourth-order finite-difference time-domain (FDTD) scheme using the symplectic integrator is applied to electromagnetic simulation. A feasible numerical implementation of the symplectic FDTD (SFDTD) scheme is specified. In particular, new strategies for the air-dielectric interface treatment and the near-to-far-field (NFF) transformation are presented. By using the SFDTD scheme, both the radiation and the scattering of three-dimensional objects are computed. Furthermore, the energy-conserving characteristic hold for the SFDTD scheme is verified under long-term simulation. Numerical results suggest that the SFDTD scheme is more efficient than the traditional FDTD method and other highorder methods, and can save computational resources.

• 出版日期2007-7-1
• 单位安徽大学