Eur. Phys. J. Plus (2019) 134: 161
https://doi.org/10.1140/epjp/i2019-12636-8

Regular Article

Rotating vortex-like soliton in a whispering gallery mode microresonator

¹ Zhejiang Provincial Key Laboratory of Chemical Utilization of Forestry Biomass, School of Sciences, Zhejiang A&F University, Hangzhou, 311300, Zhejiang, China
² College of Basic Science, Zhejiang Shuren University, Hangzhou, Zhejiang, 310015, China

^* e-mail: yyshiyan@126.com

Received: 25 October 2018
Accepted: 22 December 2018
Published online: 17 April 2019

Abstract

The vortex soliton has gained interest in recent years due to its intriguing potential applications in optical data storage, data processing and other areas. In this work an extensive analysis of characteristic features of the vortex-like soliton in a whispering gallery mode microresonator is carried out within the framework of the (2 + 1)-dimensional Lugiato-Lefever equation. It is found that the external pump field will cause the vortex-like solitons to rotate, and these vortex-like solitons can remain stable after increasing the white noise by 5%. Furthermore, the effects of topological charge, diffraction coefficient and self-focusing/self-defocusing nonlinearity on the properties of the vortex-like soliton in the whispering gallery mode microresonator are investigated. The results show that with the increase in topological charge, the vortex-like solitons will expand and the number of layers will increase. Finally, the breathing behavior is revealed when interaction between two vortex-like solitons occurs. Theoretical studies on vortex-like solitons dynamics indicates that WGM microresonators can serve as a powerful platform for exploring the nonlinear dynamics in optical nonlinear cavities. Our results are beneficial to the understanding of the fundamental dynamics of WGM microresonator solitons and extending their practical applications.