Use of a variational moment method in calculating propagation constants for waveguides with an arbitrary index profile

Abstract

A variational moment method is used to calculate propagation constants of 1-D optical waveguides with an arbitrary index profile. The method is applicable to 2-D waveguides as well, and the index profiles need not be symmetric. Examples are given for the lowest-order and the next higher-order modes and are compared with exact numerical solutions.

© 1989 Optical Society of America

Application of the variational-moment method to symmetric and nonsymmetric waveguides

Yoav Boim and Amos Hardy
Appl. Opt. 33(24) 5642-5649 (1994)

Approximate formula for the propagation constant of the basic mode in slab waveguides of arbitrary-index profile

Shlomo Ruschin
Appl. Opt. 24(23) 4189-4191 (1985)

Technique for calculation of the propagation constant in an optical planar waveguide with a Gaussian profile

Shogo Kozaki, Makoto Ohki, Takayoshi Sasaki, Haruo Sakurai, and Kuniyuki Motojima
Appl. Opt. 40(15) 2493-2495 (2001)

Propagation constant of a planar dielectric waveguide with arbitrary refractive-index variation

Xu Wang, Zi-hua Wang, and Zhao-ming Huang
Opt. Lett. 18(10) 805-807 (1993)

Exact analytical method for planar optical waveguides with arbitrary index profile

Zhuangqi Cao, Yi Jiang, Qishun Shen, Xiaoming Dou, and Yingli Chen
J. Opt. Soc. Am. A 16(9) 2209-2212 (1999)