Three-dimensional Bessel light bullets in self-focusing Kerr media

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.033834· OSTI ID:21450652

Weiping, Zhong ^[1]; Belic, Milivoj; Tingwen, Huang ^[2]

---

1. Department of Electronic and Information Engineering, Shunde Polytechnic, Guangdong Province, Shunde 528300 (China)
2. Texas A and M University at Qatar, 23874 Doha (Qatar)

We study three-dimensional (3D) Bessel light-bullet solutions of the nonlinear Schroedinger equation with a photonic lattice potential in the form of squared Bessel functions in polar coordinates, both analytically and numerically. Analytical solutions are obtained by the Hartree approximation, and numerical simulations are performed, to compare with the analytical solutions and to confirm the stability of localized solutions. The 3D spatial wave packets are built by the products of hyperbolic secant and Bessel functions. These solitons appear in different forms, such as 3D vortex solitons and multipole solitons.

• OSTI ID: 21450652
• Journal Information: Physical Review. A, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevA.82.033834; (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
ANALYTICAL SOLUTION
BESSEL FUNCTIONS
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
COORDINATES
FOCUSING
HARTREE-FOCK METHOD
NONLINEAR PROBLEMS
PHOTONS
POTENTIALS
SCHROEDINGER EQUATION
SOLITONS
STABILITY
THREE-DIMENSIONAL CALCULATIONS
VISIBLE RADIATION
VORTICES
WAVE PACKETS
APPROXIMATIONS
BOSONS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
ELEMENTARY PARTICLES
EQUATIONS
EVALUATION
FUNCTIONS
MASSLESS PARTICLES
MATHEMATICAL SOLUTIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
RADIATIONS
SIMULATION
WAVE EQUATIONS