Ultrashort light bullets described by the two-dimensional sine-Gordon equation

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.063815· OSTI ID:21439546

Leblond, Herve ^[1]; Mihalache, Dumitru ^[2]

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1. Laboratoire de Photonique d'Angers, EA 4464 Universite d'Angers, 2 Bd. Lavoisier, FR-49045 Angers Cedex 01 (France)
2. Horia Hulubei National Institute for Physics and Nuclear Engineering (IFIN-HH), 407 Atomistilor, RO-077125 Magurele-Bucharest (Romania)

By using a reductive perturbation technique applied to a two-level model, this study puts forward a generic two-dimensional sine-Gordon evolution equation governing the propagation of femtosecond spatiotemporal optical solitons in Kerr media beyond the slowly varying envelope approximation. Direct numerical simulations show that, in contrast to the long-wave approximation, no collapse occurs, and that robust (2+1)-dimensional ultrashort light bullets may form from adequately chosen few-cycle input spatiotemporal wave forms. In contrast to the case of quadratic nonlinearity, the light bullets oscillate in both space and time and are therefore not steady-state lumps.

• OSTI ID: 21439546
• Journal Information: Physical Review. A, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevA.81.063815; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
APPROXIMATIONS
COMPUTERIZED SIMULATION
ENERGY LEVELS
KERR EFFECT
NONLINEAR PROBLEMS
PERTURBATION THEORY
SINE-GORDON EQUATION
SOLITONS
STEADY-STATE CONDITIONS
TWO-DIMENSIONAL CALCULATIONS
VISIBLE RADIATION
WAVE FORMS
CALCULATION METHODS
DIELECTRIC PROPERTIES
ELECTRICAL PROPERTIES
ELECTROMAGNETIC RADIATION
EQUATIONS
FIELD EQUATIONS
PHYSICAL PROPERTIES
QUASI PARTICLES
RADIATIONS
SIMULATION