TY - JOUR
T1 - Three-dimensional Bessel light bullets in self-focusing Kerr media
AU - Zhong, Wei Ping
AU - Belić, Milivoj
AU - Huang, Tingwen
PY - 2010/9/29
Y1 - 2010/9/29
N2 - We study three-dimensional (3D) Bessel light-bullet solutions of the nonlinear Schrödinger 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.
AB - We study three-dimensional (3D) Bessel light-bullet solutions of the nonlinear Schrödinger 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.
UR - http://www.scopus.com/inward/record.url?scp=77957359155&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.82.033834
DO - 10.1103/PhysRevA.82.033834
M3 - Article
AN - SCOPUS:77957359155
SN - 1050-2947
VL - 82
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
M1 - 033834
ER -