We performed analysis of a planar waveguide with arbitrary index variations. We obtained numerical results for the propagation coefficient by using first-order Langer and Liouville transformations. The accuracy of the numerical results is confirmed by a comparison with those obtained by other methods.
© 2001 Optical Society of America
Shogo Kozaki, Makoto Ohki, Takayoshi Sasaki, Haruo Sakurai, and Kuniyuki Motojima, "Technique for Calculation of the Propagation Constant in an Optical Planar Waveguide with a Gaussian Profile," Appl. Opt. 40, 2493-2495 (2001)