一维对称Pearcey-Gaussian光束在光折变介质中的传输特性  

Propagation Characteristics of One-dimensional Symmetric Pearcey-Gaussian Beams in Photorefractive Media

作　　者：乔治 杨海雄 宋丽军[1] QIAO Zhi;YANG Haixiong;SONG Lijun(College of Physics and Electronic Engineering,Shanxi University,Taiyuan,030006,China)

机构地区：[1]山西大学物理电子工程学院,山西太原030006

出　　处：《量子光学学报》2025年第1期87-94,共8页Journal of Quantum Optics

摘　　要：基于非线性薛定谔方程,采用分步傅里叶法数值研究了一维对称皮尔斯-高斯光束在光折变介质中的传输动力学。结果表明:由于光折变介质的非线性作用,光束能够形成类呼吸孤子或孤子对。随着非线性系数的增大,在光折变介质中逐渐形成稳定的单呼吸孤子。分布因子对光束传输也会产生影响,分布因子越大,呼吸孤子的周期越小,呼吸频率越大。初始振幅的增大会使光束在演化过程中发生分裂,产生多个子光束。线性啁啾影响孤子的偏移角度,啁啾系数的正负影响孤子的偏移方向,啁啾系数的绝对值越大,孤子的偏移角度就越大。二次啁啾影响光束的衍射效应,二次啁啾系数的绝对值越大,衍射效应越强。Objective In recent years,due to the proposal of the theory of optical soliton communication,more and more researchers are paying attention to optical solitons.When a beam propagates in nonlinear medium,there will be dynamic competition between the diffraction effect of the beam and the self-focusing nonlinear effect,when the two effects achieve balance,a stable transmission state-optical soliton will be generated.Due to the stable transmission characteristics of optical solitons,they have bright development prospects and application potential in fields,such as fiber optic communication,optical information processing,and all optical switching.Therefore,it is necessary to explore the transmission characteristics of beams in different nonlinear systems.Methods The beam described by a special function provides new ideas for beam propagation due to its unique properties.Pearcey beams have attracted widespread attention due to their self-focusing,self-acceleration,and self-healing characteristics.Based on the nonlinear Schrodinger equation,the propagation dynamics of one-dimensional symmetric Pearcey-Gaussian beams in photorefractive media are studied numerically by using the split-step Fourier method.The split-step Fourier method,also be known as beam propagation method,has been used to solve many optical problems,such as wave propagation in the atmosphere,unstable resonators,waveguide couplers,gradient index fibers,and so on.The central idea of this method is to assume that diffraction and nonlinear effects act independently,thus obtaining an approximate result.The transmission process from z to z+h can be divided into two steps.The first step only considers nonlinear effects,and the second step only considers diffraction effects.Due to the fact that this method converts derivative operations in the time domain into product operations in the frequency domain,it is one to two orders of magnitude faster than most finite difference methods.Results and Discussions Photorefractive medium is a medium that can produce ligh

关 键 词：皮尔斯-高斯光束 光折变介质 啁啾 光束传输 

分 类 号：O437[机械工程—光学工程]