Symmetry and asymmetry nonlinear modes in dual cylinder waveguide shells coupled by a rotating double-well connection

摘要： We study the fundamental nonlinear modes in a dual-cylinder waveguide shell, which features a self-focusing Kerr e?ect, coupled by a double-well connection. This double-well connection is twisted by a pitch rate and creates a spatial dependent linear mixing, which plays the role of an e?ective rotating double-well potential. Symmetry transition between the waveform and the power distribution of the fundamental nonlinear modes in this system can be induced both by the total power and by the rotation speed of the connection. Four types of modes (cid:1)(cid:1)(cid:1) wave symmetry and power symmetry (WSPS), wave symmetry and power asymmetry (WSPA), wave asymmetry and power symmetry (WAPS) and wave asymmetry and power asymmetry (WAPA) (cid:1)(cid:1)(cid:1) are found from the system. The dependence of these modes on the total power of the light ˉeld, the rotation speed and the coupling strength of the connection are systematically studied through the paper. The ˉnding of this paper may o?er potential applications in fabrication of new types of nonlinear all-optical devices.