DID YOU KNOW? DTIC has over 3.5 million final reports on DoD funded research, development, test, and evaluation activities available to our registered users. Click
HERE to register or log in.
Accession Number:
ADP007625
Title:
Spatial Solitons: Mutual Interactions and Magneto Optic Surfaces,
Corporate Author:
SALFORD UNIV (UNITED KINGDOM)
Report Date:
1992-05-22
Abstract:
There has been a lot of recent activity on spatial solitons, including some very interesting work on soliton interactions. The latter work relies entirely upon the linear theory of rays in a graded index medium. This is a valuable viewpoint but since spatial solitons are solutions of the nonlinear Schrodinger equation NLSE they appear to lend themselves particularly well to a particle-like description. Indeed, quite a number of authors have adopted this fairly useful analogy with classical mechanics. It is an approach, however, that embodies a strong simplification arising from the use of the parabolic form of the Schrodinger equation. Namely, a paraxial approximation. The implication for the particleray approach is that, for a given direction, only a narrow cone of rays around it lie within the approximation zone. This is exactly what is required to consider the strong interaction case. If the chosen direction axis is along a real interface, for example, then only angles close to grazing instance can be permitted. This feature of the theory was anticipated a long time ago in a now famous paper by Kaplan.
Supplementary Note:
This article is from 'OSA Proceedings of the Topical Meeting on Nonlinear Guided-Wave Phenomena Held in 2-4 September 1991. Cambridge, England United Kingdom. Volume 15', AD-A253 471, p388-390.
Pages:
0003
File Size:
0.00MB
