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
Original Manuscript: June 26, 2000
Revised Manuscript: November 15, 2000
Published: May 20, 2001
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)