Abstract
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.
Highlights
R ESEARCH on the analytical method of eigenvalue problem is an important topic in optical devices
As a full-wave numerical scheme in the time domain, the finite-difference timedomain (FDTD) method has been extensively used for modeling computational electromagnetic in optical waveguide system [1], [2]
FDTD method has been applied to optical devices analyses at the nanometer
Summary
R ESEARCH on the analytical method of eigenvalue problem is an important topic in optical devices. As a full-wave numerical scheme in the time domain, the finite-difference timedomain (FDTD) method has been extensively used for modeling computational electromagnetic in optical waveguide system [1], [2]. The FDTD method has the advantages of physical intuitive, easy to implement, and efficient. It can capture a broad frequency range with just a single simulation, and can investigate nonlinear electrodynamics in a natural way [3]–[5]. FDTD method has been applied to optical devices analyses at the nanometer.
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