艾里-高斯光束在高斯型PT对称介质中的传输与控制  

Propagation and Control of Airy-Gaussian Beams in Gaussian Parity-Time Symmetric Media

作　　者：赵政春 文兵 邓杨保 杨冰 Zhao Zhengchun;Wen Bing;Deng Yangbao;Yang Bing(College of Information and Electronic Engineering,Hunan City University,Yiyang 413000,Hunan,China)

机构地区：[1]湖南城市学院信息与电子工程学院,湖南益阳413000

出　　处：《激光与光电子学进展》2023年第15期303-309,共7页Laser & Optoelectronics Progress

基　　金：湖南省自然科学基金(2022JJ50276,2021JJ40020);湖南省教育厅研究项目(21A0499,20B107)。

摘　　要：以非线性薛定谔方程为理论模型,研究了艾里-高斯光束在高斯型PT(Parity-time)对称介质中的传输与控制。详细分析了高斯型PT对称介质的特征参数(调制深度P、调制因子ω、增益/损耗系数W_(0))和艾里-高斯光束的特征参数(截断系数a、分布因子χ_(0))对艾里-高斯光束的传输特性的影响。结果表明:在高斯型PT对称介质中,艾里-高斯光束可以形成振荡孤子,且可稳定传输。孤子的峰值强度随P、W_(0)、a的增大而增大,随ω的增大而减小;振荡周期随P和ω的增大而减小,随W_(0)的增大而增大。当χ_(0)增大时,在0<χ_(0)<0.55范围内,孤子的峰值强度变化不明显;当χ_(0)>0.55时,孤子的峰值强度迅速减小。该研究结果可为孤子在复杂非均匀介质中的传输及全光控制方面的应用提供理论基础。In this study,the propagation and control of Airy-Gaussian beams in Gaussian parity-time(PT)symmetric media are investigated numerically,by utilizing the nonlinear Schrödinger equation as a theoretical model.The impacts of the characteristic parameters of Gaussian PT symmetric media(modulation depth P,modulation factorω,and gain/loss factor W_(0))and the characteristic parameters of Airy-Gaussian beams(truncation factor a,distribution factor χ_(0))on propagation characteristics of Airy-Gaussian beams are examined in detail.The results demonstrate that the Airy-Gaussian beams can produce oscillating solitons and transmit steadily in Gaussian PT symmetric media.The soliton strength increases with the increase of P,W_(0),and a,and decreases with the increase ofω.The oscillation period decreases with the increase of P andωand increases with the increase of W_(0).Whenχ_(0) increases,when 0<χ_(0)<0.55,the peak intensity of the soliton does not change obviously;when χ_(0)>0.55,the peak intensity of the soliton decreases rapidly.This research can offer a theoretical foundation for the use of soliton transmission in complicated heterogeneous media and all-optical control.

关 键 词：非线性光学 艾里-高斯光束 宇称时间对称介质 复折射率 孤子传输 

分 类 号：O437[机械工程—光学工程]