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

abstract

• We study three-dimensional (3D) Bessel light-bullet solutions of the nonlinear Schrdinger 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. 2010 The American Physical Society.

authors

• Huang, Tingwen

published proceedings

• PHYSICAL REVIEW A

author list (cited authors)

• Zhong, W., Belic, M., & Huang, T.

citation count

• 18

complete list of authors

• Zhong, Wei-Ping||Belic, Milivoj||Huang, Tingwen

publication date

• September 2010

publisher

• American Physical Society (APS)  Publisher

published in

• Physical Review A: Atomic, Molecular and Optical Physics  Journal

keywords

• 51 Physical Sciences
• 5108 Quantum Physics

Digital Object Identifier (DOI)

• 10.1103/PhysRevA.82.033834

start page

• 033834

volume

• 82

issue

• 3

URL

• http://dx.doi.org/10.1103/physreva.82.033834