Abstract

In the very topical problem of nonlinear waveguide analysis, progress has been reported using the finite element method,^1–3 mainly in ID. Two-transverse-dimensional nonlinear modal analysis using finite elements⁴ or alternative methods⁵ requires greater sophistication, and we have shown⁶ that adaptive techniques are essential. This paper reports an accurate study of an important canonical problem, namely a rectangular dielectric waveguide with nonlinear core. Using fully vectorial analysis, we consider here the fundamental mode. We shall show the effect of a non-Kerr type constitutive relationship, where various amounts of saturation are introduced. The variation of spotsize and of effective index as a function of total power is plotted from small to extremely high powers to show interesting global features for the first time.

© 1991 Optical Society of America