A Novel High-Order Symplectic Compact FDTD Schemes for Optical Waveguide Simulation

IEEE Photonics Journal

Mingshen Chen¹  Ming Fang¹  Xiaojing Kuang²  Xianliang Wu²  Zhixiang Huang³  Qi Qi³ 

[1] Signal Processing, Ministry of Education, Anhui University, Hefei, China;Anhui Province Key Laboratory of Simulation and Design for Electronic Information System, Hefei Normal University, Hefei, China;;Key Laboratory of Intelligent Computing &

关键词: Finite-difference time-domain;    symplectic integrator;    compact-scheme;    optical waveguide;   

DOI  :  10.1109/JPHOT.2022.3142770

来源: DOAJ

【 摘 要 】

As a 2-D full-wave numerical algorithm in the time domain, the compact Finite Difference Time Domain (FDTD) is an efficient algorithm for eigenvalue analysis of optical waveguide system. However, the numerical dispersion accuracy and stability of fast algorithm need to be improved while simulating at high frequency. A novel high-order symplectic compact FDTD scheme is developed and validated for optical waveguide modal analysis. The stability condition and the numerical dispersion of schemes with fourth-order accuracy in temporal and spatial using the symplectic integrator and compact scheme are analyzed. By comparisons with other time-domain schemes, their stable and accurate performance is qualitatively verified. The proposed high-order SC-FDTD method can be used for efficiently simulating electrically large and longitudinally invariant optical devices since the reduction of simulation dimensionality and the novel high-order symplectic algorithm can greatly reduce the memory cost and the numerical dispersive errors.

【 授权许可】

Unknown