Three-Dimensional Hermite–Bessel–Gaussian Soliton Clusters in Strongly Nonlocal Media
JIN Hai-Qin1,2, LIANG Jian-Chu3, CAI Ze-Bin4, LIU Fei5, YI Lin1**
1School of Physics, Huazhong University of Science and Technology, Wuhan 430074 2School of Physics and Electronic Information, Hubei University of Education, Wuhan 430205 3Department of Electronic Science, Huizhou University, Guangdong 516001 4Scientific Research Department, Air Force Early Warning Academy, Wuhan 430019 5Department of Physics, Hubei Normal University, Huangshi 430205
Abstract：We analytically and numerically demonstrate the existence of Hermite–Bessel–Gaussian spatial soliton clusters in three-dimensional strongly nonlocal media. It is found that the soliton clusters display the vortex, dipole azimuthon and quadrupole azimuthon in geometry, and the total number of solitons in the necklaces depends on the quantum number n and m of the Hermite functions and generalized Bessel polynomials. The numerical simulation is basically identical to the analytical solution, and white noise does not lead to collapse of the soliton, which confirms the stability of the soliton waves. The theoretical predictions may give new insights into low-energetic spatial soliton transmission with high fidelity.
2012, Vol. 29 
