Abstract

A low-truncation-error scheme for a step-index profile is applied to analysis of a three-dimensional waveguide with the aid of the alternating-direction implicit method. The propagation constants of a single and a coupled rib waveguide are analyzed by use of the imaginary distance procedure. A fast convergence rate, which is not obtainable with the conventional second-order schemes, is realized, leading to highly accurate evaluation of the coupling length. A reduction in discretization error is also demonstrated in the beam-propagation analysis of a tilted rib-waveguide coupler.

© 2000 Optical Society of America

Efficient beam-propagation method based on Padé approximants in the propagation direction

Yih-Peng Chiou and Hung-chun Chang
Opt. Lett. 22(13) 949-951 (1997)

Modified finite-difference beam-propagation method based on the Douglas scheme

Lizhong Sun and Gar Lam Yip
Opt. Lett. 18(15) 1229-1231 (1993)

Split-step time-domain analysis of optical waveguide devices composed of a directional coupler and gratings

Byoung-Sung Kim, Youngchul Chung, and Sun-Ho Kim
Opt. Lett. 25(8) 530-532 (2000)

Nonparaxial propagation of a cylindrical beam with Lanczos reduction

Q. Luo and C. T. Law
Opt. Lett. 25(12) 869-871 (2000)

Analysis of rib waveguides and couplers by the propagating beam method

M. D. Feit and J. A. Fleck
J. Opt. Soc. Am. A 7(1) 73-79 (1990)