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

Does the Nonlinear Schroedinger Equation Correctly Describe Beam Propagation?

Not Accessible

Your library or personal account may give you access

Abstract

The effect of self-trapping and self-focusing of light beams in nonlinear media was predicted in the early 1960s [1,2]. The evolution of light beams in self-focusing media has always been described by the nonlinear Schroedinger equation (NLSE) ever since the very first works devoted to this question [3,4]. It takes the diffraction and nonlinearity into account in a simple way, and describes the field evolution with high accuracy, unless time dependence and dispersion are involved [5]. Thus, the NLSE is a convenient approximation; it provides the possibility of using a powerful tool such as the inverse scattering method [6] for its investigation. In fact, a variety of exact solutions can be obtained for the 1-D NLSE using even simpler approaches [7]. This equation, with variable coefficients adjusted for a layered medium, has been used widely for describing nonlinear wave propagation in optical waveguides and interfaces [8]. It is also important to note that many fast and convenient calculation methods have been developed [9] for numerical simulations of solutions of the NLSE.

© 1993 Optical Society of America

PDF Article
More Like This
Oscillating solutions of the multidimensional nonlinear Schroedinger equation

S. Chavez-Cerda, M. A. Meneses-Nava, V. Sanchez-Villicana, and J. Sanchez-Mondragon
NSNPS.P5 Nonlinear Guided Waves and Their Applications (NP) 1998

A Numerical and Asymptotic Solution of Maxwell’s Equations for Nonlinear Optical Pulse Propagation

Cheryl V. Hile and William L. Kath
ITuF4 Integrated Photonics Research (IPR) 1993

Linear-Nonlinear Interfaces: Results from Full-Wave, Vector Maxwell Equation NL-FDTD Simulations

Richard W. Ziolkowski and Justin B. Judkins
IMD6 Integrated Photonics Research (IPR) 1993

Select as filters


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