Localized multi-dimensional optical pulses in non-resonant quadratic materials

Citation
Mj. Ablowitz et al., Localized multi-dimensional optical pulses in non-resonant quadratic materials, MATH COMP S, 56(6), 2001, pp. 511-519
Citations number
17
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN journal
03784754 → ACNP
Volume
56
Issue
6
Year of publication
2001
Pages
511 - 519
Database
ISI
SICI code
0378-4754(20010709)56:6<511:LMOPIN>2.0.ZU;2-W
Abstract
The propagation of an optical pulse in a non-resonant multi-dimensional qua dratic material is studied. In a number of relevant cases, the evolution of the pulse is governed by equations of non-linear Schrodinger type with cou pling to mean (i.e. low frequency) fields. The presence of this coupling ca n have a dramatic effect on the dynamics of the optical pulse. In particula r, we show that stable localized multi-dimensional pulses can arise through interaction with boundary terms associated to the mean fields. (C) 2001 IM ACS. Published by Elsevier Science B.V. All rights reserved.