强非局域非线性介质中时空可控艾里-因氏-高斯光束的传输  

Spatiotemporal Controllable Airy-Ince-Gaussian Beam in Strongly Nonlocal Nonlinear Media

作　　者：张霞萍 Zhang Xiaping(Department of Electronic Engineering,Nanjing Xiaozhuang University,Nanjing,Jiangsu 210017,China)

机构地区：[1]南京晓庄学院电子工程学院,江苏南京210017

出　　处：《光学学报》2022年第2期176-183,共8页Acta Optica Sinica

摘　　要：根据强非局域非线性介质(SNNM)中傍轴光束传输遵循的(3+1)维薛定谔方程,获得了椭圆坐标系下时空可控艾里-因氏-高斯(CAiIG)光束的解析解。CAiIG光束由具有不同初始速度的艾里脉冲对空间因氏-高斯光束时域调制获得。通过调整光束初始入射功率和临界功率的比率、初始入射速度以及椭圆参数,探讨了SNNM中CAiIG光束的传输过程。时空CAiIG光束在传输过程中保持非色散特性。依据初始入射功率和临界功率的比率,光束束宽在空间呈现出周期性振荡(功率比不等于1)或者保持不变(功率比等于1)的状态。调整椭圆参数的值可以实现时空艾里-因氏-高斯光束与时空艾里-拉盖尔-高斯光束及时空艾里-厄米-高斯光束间的连续转换。此外,给出了SNNM中CAiIG光束呈呼吸态传输时几个传输截面上的能流分布图。According to the(3+1)-dimensional Schr9 dinger equation for the propagation of paraxial beams in strongly nonlocal nonlinear media(SNNM), the analytical solution of spatiotemporal controllable Airy-Ince-Gaussian(CAiIG) beam in elliptic coordinates is obtained. CAiIG beams are obtained by time-domain modulation of spatial Ince-Gaussian beams by Airy pulses with different initial velocities. The propagation process of CAiIG beam in SNNM is discussed by adjusting the ratio of initial incident power to critical power, initial incident velocity and ellipse parameter. The spatiotemporal CAiIG beam keeps non-dispersive characteristics in the process of propagation. According to the ratio of the initial incident power to the critical power, the beam width oscillates periodically in space(the power ratio is not equal to 1) or remains constant(the power ratio is equal to 1). The continuous conversion among spatiotemporal Airy-Ince-Gaussian beam, spatiotemporal Airy-Laguerre-Gaussian beam and spatiotemporal Airy-Hermite-Gaussian beam can be realized by adjusting the ellipse parameter. Moreover, the energy flow distributions on several propagation cross sections of CAiIG beams propagating in breathing state in SNNM are given.

关 键 词：非线性光学 强非局域非线性 时空艾里-因氏-高斯光束 自加速和自减速光束 坡印亭矢量 

分 类 号：O437[机械工程—光学工程]