Abstract

A new iterative technique for analyzing the non-matched beam propagation in two-dimensional optical guides with gradient indices of refraction is developed. The initial-trial non-matched beam is a quasi-geometric-optics solution; it is iteratively corrected toward a wave solution by means of transverse differential operation. The technique is also applied to the far-field propagation of beams radiated from the output end of the guide. Some examples of the second-order solution are given. The results are compared with exact analytic solutions obtained from the modal expansion.

© 1975 Optical Society of America

Scalar and vector mode relations in gradient-index light guides

C. N. Kurtz
J. Opt. Soc. Am. 65(11) 1235-1240 (1975)

Ray and energy propagation in graded-index media*

A. K. Ghatak and K. Thyagarajan
J. Opt. Soc. Am. 65(2) 169-173 (1975)

Asymptotic theory of irradiance fluctuations in a beam propagating in a random medium

Alan M. Whitman and Mark J. Beran
J. Opt. Soc. Am. 65(7) 765-768 (1975)

Ray tracing in gradient-index media

Duncan T. Moore
J. Opt. Soc. Am. 65(4) 451-455 (1975)

Transmission and reflection of a gaussian beam at normal incidence on a dielectric slab

T. Ooya, M. Tateiba, and O. Fukumitsu
J. Opt. Soc. Am. 65(5) 537-541 (1975)