Nonlinear propagation of an intense Laguerre-Gaussian laser pulse in a plasma channel

doi:10.1088/1674-1056/abd68c

中国物理B ›› 2021, Vol. 30 ›› Issue (5): 55204-055204.doi: 10.1088/1674-1056/abd68c

Nonlinear propagation of an intense Laguerre-Gaussian laser pulse in a plasma channel

Mingping Liu(刘明萍), Zhen Zhang(张震), and Suhui Deng(邓素辉)^†

School of Information Engineering, Nanchang University, Nanchang 330031, China

收稿日期:2020-09-02 修回日期:2020-12-02 接受日期:2020-12-24 出版日期:2021-05-14 发布日期:2021-05-14
通讯作者: Suhui Deng E-mail:shdeng@ncu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61665006 and 61865011) and the Natural Science Foundation of Jiangxi Province of China (Grant Nos. 20171ACB21018, 20161BAB212041, and 20162BCB23012).

Nonlinear propagation of an intense Laguerre-Gaussian laser pulse in a plasma channel

Mingping Liu(刘明萍), Zhen Zhang(张震), and Suhui Deng(邓素辉)^†

School of Information Engineering, Nanchang University, Nanchang 330031, China

Received:2020-09-02 Revised:2020-12-02 Accepted:2020-12-24 Online:2021-05-14 Published:2021-05-14
Contact: Suhui Deng E-mail:shdeng@ncu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61665006 and 61865011) and the Natural Science Foundation of Jiangxi Province of China (Grant Nos. 20171ACB21018, 20161BAB212041, and 20162BCB23012).

摘要/Abstract

摘要： The nonlinear propagation of an intense Laguerre-Gaussian (LG) laser pulse in a parabolic preformed plasma channel is analyzed by means of the variational method. The evolution equation of the spot size is derived including the effects of relativistic self-focusing, preformed channel focusing, and ponderomotive self-channeling. The parametric conditions of the LG laser pulse and plasma channel for propagating with constant spot size, periodically focusing and defocusing oscillation, catastrophic focusing, and solitary waves are obtained. Compared with the laser pulse with fundamental Gaussian (FG) mode, it is found that the effect of vacuum diffraction is reduced by half and the effects of relativistic and wakefield focusing are decreased by a quarter due to the hollow transverse intensity profile of the LG laser pulse, while the effect of channel focusing is the same order of magnitude with that of the FG laser pulse. Thus, the matched condition for the intense LG laser pulse with constant spot size is released obviously, while the parameters of the laser and plasma for the existence of solitary waves nearly coincide with those of the FG laser pulse.

关键词: nonlinear propagation, intense Laguerre-Gaussian laser pulse, wake-field effect, plasma channel

Abstract: The nonlinear propagation of an intense Laguerre-Gaussian (LG) laser pulse in a parabolic preformed plasma channel is analyzed by means of the variational method. The evolution equation of the spot size is derived including the effects of relativistic self-focusing, preformed channel focusing, and ponderomotive self-channeling. The parametric conditions of the LG laser pulse and plasma channel for propagating with constant spot size, periodically focusing and defocusing oscillation, catastrophic focusing, and solitary waves are obtained. Compared with the laser pulse with fundamental Gaussian (FG) mode, it is found that the effect of vacuum diffraction is reduced by half and the effects of relativistic and wakefield focusing are decreased by a quarter due to the hollow transverse intensity profile of the LG laser pulse, while the effect of channel focusing is the same order of magnitude with that of the FG laser pulse. Thus, the matched condition for the intense LG laser pulse with constant spot size is released obviously, while the parameters of the laser and plasma for the existence of solitary waves nearly coincide with those of the FG laser pulse.

Key words: nonlinear propagation, intense Laguerre-Gaussian laser pulse, wake-field effect, plasma channel

中图分类号: (Laser-plasma interactions)

52.38.-r

52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)) 52.38.Hb (Self-focussing, channeling, and filamentation in plasmas)

Mingping Liu(刘明萍), Zhen Zhang(张震), and Suhui Deng(邓素辉). Nonlinear propagation of an intense Laguerre-Gaussian laser pulse in a plasma channel[J]. 中国物理B, 2021, 30(5): 55204-055204.

Mingping Liu(刘明萍), Zhen Zhang(张震), and Suhui Deng(邓素辉). Nonlinear propagation of an intense Laguerre-Gaussian laser pulse in a plasma channel[J]. Chin. Phys. B, 2021, 30(5): 55204-055204.

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Nonlinear propagation of an intense Laguerre-Gaussian laser pulse in a plasma channel

Nonlinear propagation of an intense Laguerre-Gaussian laser pulse in a plasma channel

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