Abstract

We numerically establish the controllable conversion between Laguerre–Gaussian and Hermite–Gaussian solitons in nonlinear media featuring parabolic and cross-phase potential wells. The parabolic potential maintains the stability of Laguerre–Gaussian and Hermite–Gaussian beams, while the actual conversion between the two modes is facilitated by the cross-phase potential, which induces an additional phase shift. By flexibly engineering the range of the cross-phase potential well, various higher-mode solitons can be generated at desired distances. Beams carrying orbital angular momentum can also be efficiently controlled by this method. In addition, other types of beams, such as sine complex-various-function Gaussian and hypergeometric-Gaussian vortex beams, can be periodically transformed and manipulated in a similar manner. Our approach allows the intricate internal relationships between different modes of beams to be conveniently revealed.

© 2024 Optica Publishing Group

Spiraling Laguerre–Gaussian solitons and arrays in parabolic potential wells

Qing Wang, Dumitru Mihalache, Milivoj R. Belić, Liangwei Zeng, and Ji Lin
Opt. Lett. 48(16) 4233-4236 (2023)

Transmission mode transformation of rotating controllable beams induced by the cross phase

Zhuoyue Sun, Jie Li, Rui Bian, Duo Deng, and Zhenjun Yang
Opt. Express 32(6) 9201-9212 (2024)

Multiplication of orbital angular momentum via multi-plane light conversion

Lixun Wu, Weihang Zhong, Zituo Wu, Zhouxin Liang, Lin He, Zhongzheng Lin, Hongjia Chen, and Yujie Chen
Opt. Lett. 49(4) 887-890 (2024)

Dissipative three-dimensional topological optical solitons with crossed localization of polarization components

Nikolay Veretenov, Sergey Fedorov, and Nikolay Rosanov
Opt. Lett. 49(7) 1761-1764 (2024)

Soliton transformation between different potential wells

Qing Wang, Dumitru Mihalache, Milivoj R. Belić, Liangwei Zeng, and Ji Lin
Opt. Lett. 48(3) 747-750 (2023)