Abstract

Accurate time-domain modeling of electrically long structures such as dielectric waveguides in integrated optics often demands prohibitive computational cost. In this paper, an efficient fourth-order finite-difference time-domain (FDTD) method is investigated in a two-dimensional (2-D) transverse electric (TE) case. The method is a combination of fourth-order staggered backward-differentiation time integrator and fourth-order staggered spatial discretization. A rigorous stability and dispersion analysis is conducted to show its useful numerical characteristics. Fourth-order convergence of the numerical scheme is demonstrated by monitoring numerical errors in the L₂ norm in 2-D cavities. Numerical efficiency of the fourth-order method is validated through its applications for full-wave time-domain simulations of long 2-D optical waveguide structures.

© 2006 IEEE

Accurate modeling of dielectric interfaces by the effective permittivities for the fourth-order symplectic finite-difference time-domain method

Takuo Hirono and Yuzo Yoshikuni
Appl. Opt. 46(9) 1514-1524 (2007)

Modeling hemoglobin at optical frequency using the unconditionally stable fundamental ADI-FDTD method

Ding Yu Heh and Eng Leong Tan
Biomed. Opt. Express 2(5) 1169-1183 (2011)

Unconditionally stable WLP-FDTD method for the modeling of electromagnetic wave propagation in gyrotropic materials

Zheng-Wei Li, Xiao-Li Xi, Jin-Sheng Zhang, and Jiang-fan Liu
Opt. Express 23(25) 31864-31873 (2015)

High-order FDTD methods for transverse electromagnetic systems in dispersive inhomogeneous media

Shan Zhao
Opt. Lett. 36(16) 3245-3247 (2011)

Optical waveguide grating couplers: 2nd-order and 4th-order finite-difference time-domain analysis

Aristeides D. Papadopoulos and Elias N. Glytsis
Appl. Opt. 48(27) 5164-5175 (2009)