期刊
IEEE PHOTONICS JOURNAL
卷 14, 期 1, 页码 -出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JPHOT.2022.3142770
关键词
Optical waveguides; Time-domain analysis; Numerical stability; Finite difference methods; Eigenvalues and eigenfunctions; Adaptive optics; Optical refraction; Finite-difference time-domain; symplectic integrator; compact-scheme; optical waveguide
资金
- NSFC [61901001, 61801163]
- Natural Science Foundation of Anhui Province [1908085QF257, 1908085QF259, 1808085MF167]
- Universities Natural Science Foundation of Anhui Province [KJ2019A0716]
- Project of Anhui Province Key Laboratory of Simulation and Design for Electronic Information System [2019ZDSYSZY01]
- Anhui Science and Technology Project [202104a05020004]
This paper proposes a novel high-order symplectic compact FDTD method and validates its stability and accuracy in optical waveguide modal analysis. The method shows a high numerical dispersion accuracy and stability in simulating high-frequency situations, making it suitable for efficiently simulating electrically large and longitudinally invariant optical devices.
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.
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