基于分数阶效应的饱和非线性介质中艾里高斯光束的传输与交互  

Propagation and Interaction of Airy-Gaussian Beams in Saturable Nonlinear Medium Based on Fractional Effect

作　　者：张家宁 陈卫军 赵鹏[1] Zhang Jianing;Chen Weijun;Zhao Peng(College of Physics,Changchun University of Science and Technology,Changchun 130022,Jilin,China)

机构地区：[1]长春理工大学物理学院,吉林长春130022

出　　处：《光学学报》2022年第15期146-152,共7页Acta Optica Sinica

基　　金：国家自然科学基金(U2141239,61905026,U2031113)。

摘　　要：采用分步傅里叶法,数值研究了分数阶效应下饱和非线性介质中艾里高斯光束的传输与交互特性。结果表明,单艾里高斯光束传输时,分数阶Lévy指数和饱和非线性强度参数决定了光场演化结构的变化。在聚焦非线性作用下,光场演化时可形成呼吸孤子,孤子的峰值强度和宽度等特征参数可通过调节Lévy指数、饱和非线性强度参数、入射光场分布因子和光场衰减系数进行操控。当双艾里高斯光束交互时,两同相位艾里高斯光束相互吸引,形成单呼吸孤子,两反相位艾里高斯光束相互排斥,形成呼吸孤子对。两光束间作用力的大小和孤子或孤子对的峰值强度可通过调节初始光束间隔、Lévy指数、饱和非线性强度参数和入射光场分布因子进行操控。The propagation and interaction properties of Airy-Gaussian beams in saturable nonlinear medium under fractional effect are investigated numerically by means of split-step Fourier transform method.It is shown that for the propagation of a single Airy-Gaussian beam,variation in the evolution structure of the light field is determined by the fractional Lévy index and the saturable nonlinear strength parameter.The breathing soliton can be formed when the light field evolves under the action of focusing nonlinearity,and the characteristic parameters of the soliton,such as the peak intensity and width,can be controlled by adjusting the Lévy index,the saturable nonlinear strength parameter,the incident light field distribution factor and the light field attenuation coefficient.For the interaction of double Airy-Gaussian beams,two in-phase Airy-Gaussian beams attract each other to generate a single breathing soliton,and two out-of-phase AiryGaussian beams repel each other to form a breathing soliton pair.The magnitude of the force between the two beams and the peak intensity of the soliton or soliton pair can be manipulated by adjusting the initial beam interval,Lévy index,the saturable nonlinear strength parameter and the incident light field distribution factor.

关 键 词：非线性光学 分数阶效应 艾里高斯光束 光场调控 

分 类 号：O437[机械工程—光学工程]