Abstract
An inverse-scattering approach to designing optical waveguides with prescribed propagation characteristics of TM modes is presented. The refractive-index profile of the waveguide is formulated as a solution to a nonlinear differential equation whose forcing function is the potential obtained from the application of inverse-scattering theory. This method can reconstruct smooth refractive-index profiles for planar waveguides that support single modes or multimode. The cases of both zero and nonzero reflection coefficients characterizing the transmission properties of waveguides are discussed. A direct analysis technique based on a finite-difference scheme has been formulated to verify the results obtained by the inverse-scattering method, and the two approaches are in excellent agreement.
© 1993 Optical Society of America
Full Article | PDF ArticleMore Like This
De Biao Ge, Arthur K. Jordan, and Lakshman S. Tamil
J. Opt. Soc. Am. A 11(11) 2809-2815 (1994)
Stanford P. Yukon and Bernard Bendow
J. Opt. Soc. Am. 70(2) 172-179 (1980)
A. K. Jordan and S. Lakshmanasamy
J. Opt. Soc. Am. A 6(8) 1206-1212 (1989)