We propose a new nonlinear hybrid vector finite-element method to study the propagation of an optical beam in a nonlinear waveguide in three space dimensions. The new method is a combination of the edge-element and finite-difference methods; the former applies to the waveguide cross section and the latter to the propagation direction. To validate our method, a planar nonlinear waveguide (consisting of a linear substrate, a linear film, and a Kerr-type cladding) that is end-fire excited by the TE0 and TM0 modes is studied numerically. We demonstrate that the external excitation of a nonlinear slab waveguide can produce sequential threshold behavior by means of multisoliton emission from the waveguide.
© 1996 Optical Society of America
Original Manuscript: April 19, 1995
Published: January 15, 1996
S. V. Polstyanko, R. Dyczij-Edlinger, and J. F. Lee, "Full vectorial analysis of a nonlinear slab waveguide based on the nonlinear hybrid vector finite-element method," Opt. Lett. 21, 98-100 (1996)