Abstract
Exact solutions can be obtained for electromagnetic wave propagation in a medium with a simple uniform refractive-index distribution. For more-complex distributions, approximate or numerical methods have to be utilized. We describe an elegant approximation scheme called the decomposition method for nonlinear differential equations, which was introduced by Adomian [Non-linear Stochastic Systems Theory and Applications to Physics (Kluwer, Dordrecht, The Netherlands, 1989)]. The method is described and applied to waveguide problems (planar waveguides with step and parabolic refractive-index profiles), and the results are compared with those obtained by JWKB and modified Airy function methods.
© 1998 Optical Society of America
Full Article | PDF ArticleMore Like This
I. C. Goyal, R. L. Gallawa, and A. K. Ghatak
Appl. Opt. 30(21) 2985-2989 (1991)
A. Ya. Polishchuk, S. Gutman, M. Lax, and R. R. Alfano
J. Opt. Soc. Am. A 14(1) 230-234 (1997)
G. C. Pomraning and N. J. McCormick
J. Opt. Soc. Am. A 15(7) 1932-1939 (1998)