Adiabatic evolution of optical beams of arbitrary shapes in nonlocal nonlinear media

doi:10.1088/1674-1056/acd689

中国物理B ›› 2023, Vol. 32 ›› Issue (10): 104207-104207.doi: 10.1088/1674-1056/acd689

Adiabatic evolution of optical beams of arbitrary shapes in nonlocal nonlinear media

Jiarui Che(车佳瑞)^1,2, Yuxin Zheng(郑喻心)^1,2, Guo Liang(梁果)^1,2,†, and Qi Guo(郭旗)^1,‡

1 School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510631, China;
2 School of Electrical and Electronic Engineering, Shangqiu Normal University, Shangqiu 476000, China

收稿日期:2023-03-25 修回日期:2023-05-09 接受日期:2023-05-18 出版日期:2023-09-21 发布日期:2023-10-09
通讯作者: Guo Liang, Qi Guo E-mail:liangguo0916@163.com;guoq@scnu.edu.cn
基金资助:
Project supported by the Key Research Fund of Higher Education of Henan Province, China (Grant No. 23A140021), the Open Subject of the Key Laboratory of Weak Light Nonlinear Photonics of Nankai University (Grant No. OS21-3), and the International Scientific and Technological Cooperation Projects of Henan Province, China (Grant No. 232102520001).

Adiabatic evolution of optical beams of arbitrary shapes in nonlocal nonlinear media

Jiarui Che(车佳瑞)^1,2, Yuxin Zheng(郑喻心)^1,2, Guo Liang(梁果)^1,2,†, and Qi Guo(郭旗)^1,‡

1 School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510631, China;
2 School of Electrical and Electronic Engineering, Shangqiu Normal University, Shangqiu 476000, China

Received:2023-03-25 Revised:2023-05-09 Accepted:2023-05-18 Online:2023-09-21 Published:2023-10-09
Contact: Guo Liang, Qi Guo E-mail:liangguo0916@163.com;guoq@scnu.edu.cn
Supported by:
Project supported by the Key Research Fund of Higher Education of Henan Province, China (Grant No. 23A140021), the Open Subject of the Key Laboratory of Weak Light Nonlinear Photonics of Nankai University (Grant No. OS21-3), and the International Scientific and Technological Cooperation Projects of Henan Province, China (Grant No. 232102520001).

摘要/Abstract

摘要： We discuss evolution of Hermite-Gaussian beams of different orders in nonlocal nonlinear media whose characteristic length is set as different functions of propagation distance, using the variational approach. It is proved that as long as the characteristic length varies slowly enough, all the Hermite-Gaussian beams can propagate adiabatically. When the characteristic length gradually comes back to its initial value after changes, all the Hermite-Gaussian beams can adiabatically restore to their own original states. The variational results agree well with the numerical simulations. Arbitrary shaped beams synthesized by Hermite-Gaussian modes can realize adiabatic evolution in nonlocal nonlinear media with gradual characteristic length.

关键词: nonlocal nonlinearity, variational approach, Hermite-Gaussian beam

Abstract: We discuss evolution of Hermite-Gaussian beams of different orders in nonlocal nonlinear media whose characteristic length is set as different functions of propagation distance, using the variational approach. It is proved that as long as the characteristic length varies slowly enough, all the Hermite-Gaussian beams can propagate adiabatically. When the characteristic length gradually comes back to its initial value after changes, all the Hermite-Gaussian beams can adiabatically restore to their own original states. The variational results agree well with the numerical simulations. Arbitrary shaped beams synthesized by Hermite-Gaussian modes can realize adiabatic evolution in nonlocal nonlinear media with gradual characteristic length.

Key words: nonlocal nonlinearity, variational approach, Hermite-Gaussian beam

中图分类号: (Optical solitons; nonlinear guided waves)

42.65.Tg

42.65.Jx (Beam trapping, self-focusing and defocusing; self-phase modulation)

Jiarui Che(车佳瑞), Yuxin Zheng(郑喻心), Guo Liang(梁果), and Qi Guo(郭旗). Adiabatic evolution of optical beams of arbitrary shapes in nonlocal nonlinear media[J]. 中国物理B, 2023, 32(10): 104207-104207.

Jiarui Che(车佳瑞), Yuxin Zheng(郑喻心), Guo Liang(梁果), and Qi Guo(郭旗). Adiabatic evolution of optical beams of arbitrary shapes in nonlocal nonlinear media[J]. Chin. Phys. B, 2023, 32(10): 104207-104207.

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Adiabatic evolution of optical beams of arbitrary shapes in nonlocal nonlinear media

Adiabatic evolution of optical beams of arbitrary shapes in nonlocal nonlinear media

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