Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

An Efficient Finite Element Scheme for Highly Nonlinear Waveguides

Not Accessible

Your library or personal account may give you access

Abstract

Since the late 70's the Beam Propagation Method (BPM) or Split-Step Fourier Method (SS/FM), has been widely used for solving the nonlinear partial differential equations which describe the propagation of spatial pulses through waveguide structures. By applying the Split-Step technique, the paraxial wave equation can be split in two propagating equations, one involving only linear terms and another including nonlinear ones. These two equations describe diffraction and nonlinear refraction respectively. In the SS/FM, diffraction is integrated by using the Fourier transform. However, the performance of this method is known to be seriously affected when abrupt variations of the refractive index are taken into account [1], and the problem tends to become even worse in the high nonlinear regime [2].

© 1991 Optical Society of America

PDF Article
More Like This
A split-step finite element scheme for spatio-tenporal analysis of pulse propagation in nonlinear waveguides

P.A. Buah, B. M. A. Rahman, and K. T. V. Grattan
TuB.7 Nonlinear Guided-Wave Phenomena (NP) 1993

A simple and efficient scalar finite element approach to nonlinear optical channel waveguides

Akira Niiyama and Masanori Koshiba
P71 Conference on Lasers and Electro-Optics/Pacific Rim (CLEO/PR) 1995

Finite Element Analysis of Two-Transverse-Dimensional Bistable Nonlinear Integrated Optical Waveguides

B.M.A. Rahman, F.A. Fernandez, R.D. Ettinger, and J.B. Davies
ME2 Nonlinear Guided-Wave Phenomena (NP) 1991

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved