Helmholtz solitons in power-law optical materials

Journal Article · Sat Sep 15 04:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.033834· OSTI ID:21020604

Christian, J M; McDonald, G S; Potton, R J; Chamorro-Posada, P ^[1]

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1. Joule Physics Laboratory, School of Computing, Science and Engineering, Institute for Materials Research, University of Salford, Salford M5 4WT (United Kingdom)

A nonlinear Helmholtz equation for optical materials with regimes of power-law type of nonlinearity is proposed. This model captures the evolution of broad beams at any angle with respect to the reference direction in a wide range of media, including some semiconductors, doped glasses, and liquid crystals. Exact analytical soliton solutions are presented for a generic nonlinearity, within which known Kerr solitons comprise a subset. Three general conservation laws are also reported. Analysis and numerical simulations examine the stability of the Helmholtz power-law solitons. A propagation feature, associated with spatial solitons in power-law media, constituting a class of oscillatory solution, is identified.

• OSTI ID: 21020604
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 76; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BEAMS
CAPTURE
CONSERVATION LAWS
DOPED MATERIALS
EQUATIONS
GLASS
KERR EFFECT
LIQUID CRYSTALS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
SEMICONDUCTOR MATERIALS
SIMULATION
SOLITONS
STABILITY
WAVE PROPAGATION