Auxiliary differential equation (ADE) method based complying-divergence implicit FDTD method for simulating the general dispersive anisotropic material

Author:

Xie GuodaORCID,Hou GuilinORCID,Feng NaixingORCID,Song Kaihong,Fang MingORCID,Li Yingsong,Wu Xianliang,Huang ZhixiangORCID

Abstract

The preceding works introduced the leapfrog complying divergence implicit finite-difference time-domain (CDI-FDTD) method, which exhibits high accuracy and unconditional stability. In this study, the method is reformulated to simulate general electrically anisotropic and dispersive media. The auxiliary differential equation (ADE) method is employed to solve the equivalent polarization currents, which are then integrated into the CDI-FDTD method. The iterative formulae are presented, and the calculation method is similar to that of the traditional CDI-FDTD method. Additionally, the Von Neumann method is utilized to analyze the unconditional stability of the proposed method. To evaluate the performance of the proposed method, three numerical cases are conducted. These include calculating the transmission and reflection coefficients of a monolayer graphene sheet and a monolayer magnetized plasma, as well as the scattering properties of a cubic block plasma. The numerical results obtained by the proposed method demonstrate its accuracy and efficiency in simulating general anisotropic dispersive media, compared to both the analytical method and the traditional FDTD method.

Funder

National Natural Science Foundation of China

Publisher

Optica Publishing Group

Subject

Atomic and Molecular Physics, and Optics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Unified Leapfrog CDI-FDTD Methods With Weakly Conditional Stability and Hybrid Implicit-Explicit Schemes;IEEE Transactions on Antennas and Propagation;2024-08

2. Efficient CDI-FDTD Method for Modelling Graphene-Based Structures;2023 International Applied Computational Electromagnetics Society Symposium (ACES-China);2023-08-15

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