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

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 a...

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Bibliographic Details
Published in:IEEE photonics journal 2022-02, Vol.14 (1), p.1-7
Main Authors: Kuang, Xiaojing, Huang, Zhixiang, Fang, Ming, Qi, Qi, Chen, Mingshen, Wu, Xianliang
Format: Article
Language:English
Subjects:
Adaptive optics
Algorithms
compact-scheme
Eigenvalues
Eigenvalues and eigenfunctions
Finite difference methods
Finite difference time domain method
Finite-difference time-domain
Modal analysis
Numerical analysis
Numerical stability
Optical refraction
optical waveguide
Optical waveguides
Simulation
Stability analysis
symplectic integrator
Time-domain analysis
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Summary: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.
ISSN:1943-0655
1943-0655
1943-0647
DOI:10.1109/JPHOT.2022.3142770