Christian, JM, McDonald, GS ORCID: https://orcid.org/0000-0002-1304-5182, Potton, RJ and Chamorro-Posada, P
2007,
'Helmholtz solitons in power-law optical materials'
, Physical Review A (PRA), 76 (3)
, 033834.
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Abstract
A nonlinear Helmholtz equation for optical materials with regimes of power-law type of nonlinearity is proposed. This model captures broad beam evolution at any angle with respect to the reference direction in a wide range of media, including some semiconductors, doped glasses and liquid crystals. Novel exact analytical soliton solutions are presented for a generic nonlinearity, within which known Kerr solitons comprise a subset. Three conservation laws are also reported and numerical simulations examine the stability of the Helmholtz power-law solitons. These simulations have led to the identification of a new propagation feature associated with spatial solitons in power-law media, constituting a new class of oscillatory solution.
Item Type: | Article |
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Themes: | Energy Media, Digital Technology and the Creative Economy Subjects outside of the University Themes |
Schools: | Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre |
Journal or Publication Title: | Physical Review A (PRA) |
Publisher: | American Physical Society |
Refereed: | Yes |
ISSN: | 1050-2947 |
Related URLs: | |
Depositing User: | GS McDonald |
Date Deposited: | 14 Oct 2011 10:01 |
Last Modified: | 28 Oct 2020 14:01 |
URI: | http://usir.salford.ac.uk/id/eprint/18325 |
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