拉盖尔-高斯光束在界面反射和折射的质心偏移特性研究

在圆柱坐标系中研究了傍轴线偏振拉盖尔-高斯光束在两种各向同性介质界面反射和折射后光强质心的偏移. 基于菲涅耳近似和泰勒级数展开,分别得到了部分反射和全反射两种情形下,质心的横向偏移和纵向偏移与光束拓扑荷的解析关系式. 研究表明,部分反射时,反射和折射光束的横向偏移的大小与光束的拓扑荷成正比,方向由拓扑荷的符号决定;而纵向偏移仅仅大小与光束的拓扑荷有关. 全反射时,反射光束质心偏移不受拓扑荷影响. 通过数值模拟验证了解析结果的正确性,并得到了解析公式的适用条件. 拉盖尔-高斯光束的质心偏移特性可应用于测量光 关键词： 拉盖尔-高斯光束 横向偏移 纵向偏移 拓扑荷     

光束偏移对轨道角动量信息传输系统的影响

研究了拉盖尔-高斯光束轨道角动量信息传输系统在未对准时轨道角动量谱的变化.采用数学推导和数值仿真的方法,得到在任意传播距离处,接收系统轴与光轴分别出现横向偏移、角向倾斜,以及两者同时存在时光束的表达式,并分析和比较了几种情况下螺旋谱的变化特征.研究表明,两种偏移量的增加会增加螺旋谱的弥散,而弥散现象与两者偏移方向无关.在传输起点,横向偏移和角向倾斜均会引起螺旋谱的对称弥散.然而,随着传输距离的增加,横向偏移时螺旋谱的弥散程度逐渐减小,而角向倾斜时螺旋谱弥散程度逐渐增加.角向倾斜时螺旋谱始终保持对称分布,而横向偏移引起的弥散螺旋谱呈非对称分布,且经过一定距离后得到稳定的螺旋谱分布.当两者同时存在时,光束螺旋谱的弥散程度随着距离的增加逐渐增加到一个最大值,之后平缓地下降.并进一步得出了横向偏移与角向倾斜对弥散度的影响是不独立的. 关键词： 拉盖尔-高斯光束 螺旋谱 横向偏移 角向倾斜     

利用振幅光栅生成拉盖尔-高斯光束的实验研究

拉盖尔高斯(Laguerre-Gaussian,LG)光束由于其独特的相位结构和轨道角动量特性在微粒旋转操纵和信息处理等方面得到了越来越多的重视.对利用振幅型叉状衍射光栅产生LG光束进行了理论分析,采用计算全息图的方法制作了振幅型叉状衍射光栅,实验上获得了角量子数为±1的LG光束,并对光束变换过程中影响光束特性的主要因素进行了讨论. 关键词： 信息光学 拉盖尔高斯光束 计算全息光栅 光束轨道角动量     

相位片角向衍射产生拉盖尔-高斯光束的实验研究

设计了一种角向分布的相位片,利用离子束刻蚀技术加工成0和π二级的相位片.利用角向衍射理论对相位片的衍射场分析表明,衍射场为拓扑指数相反的两束拉盖尔-高斯光束的叠加场.用直径为4 mm的近平行光照射相位片,获得径向指数为零,拓扑荷相反的叠加拉盖尔-高斯光场.采用较大孔径的光束入射时,仍为拓扑荷相反的两束光的叠加,但径向指数会发生变化. 关键词： 信息光学 拉盖尔-高斯光束 相位片 离子束刻蚀     

拉盖尔-高斯光束照射产生散斑场的特性研究

研究了拉盖尔-高斯光束照射毛玻璃产生的散斑场的特性。利用空间光调制器结合计算全息法产生了拉盖尔-高斯涡旋光束;较深入地研究了拉盖尔-高斯光束照射下散斑大小与光束径向指数、角向指数及涡旋光束面积间的关系。结果显示:对同一径向指数,散斑颗粒平均大小随角向指数的增大呈直线减小趋势;对同一角向指数,散斑大小随径向指数的增大而减小;散斑大小与涡旋光束照射面积的负指数成正比;随径向指数的增大,其逐渐接近高斯光束照射的结果。     

光学涡旋横向线动量密度的传输演化特性

对于光学涡旋特别是具有复杂拓扑结构的光学涡旋,可以通过数值计算的方法获得实验上难以准确测量的角动量分布及其传输演化特性。在略去线偏振光场线动量密度中的轴向分量的情况下可获得涡旋光场的横向线动量密度,其在光束截面上的角向分量表征了涡旋角动量的分布。通过数值模拟,研究了单束拉盖尔-高斯光束和拓扑荷不同的两束拉盖尔-高斯光束同轴叠加后在自由空间中的传播过程,获得了强度分布、相位分布和横向线动量密度在瑞利长度内的分布特征。通过分析光束横截面上强度分布和线动量密度的演化特性表明,在远离束腰处光束的衍射效应不仅降低了横向线动量密度,还会增加径向分量,因而增强了径向力学特性,减弱了角向力学特性,因此在具体实施微操控时不宜在距离束腰面较远的横截面内进行。     

线偏振高斯光束通过复合型衍射光栅的传输特性

提出一种集合浮雕和折射率周期分布调制的复合型衍射光栅,并利用角谱表示和严格的模式理论研究了线偏振高斯光束通过这种复合型衍射光栅的传输特性.数值计算结果表明,在光栅的同一透射深度处复合型衍射光栅光强的起伏频率要比浮雕型光栅光强的起伏频率小.最后使用复合型衍射光栅模型,研究了亚波长体积相位全息光栅的表面起伏和入射光束的束腰宽度对衍射效率的影响. 关键词： 复合型衍射光栅 亚波长体积相位全息光栅 高斯光束 严格模式理论     

利用干涉光场的相位涡旋测量拉盖尔-高斯光束的轨道角动量

对拉盖尔-高斯光束经多圆孔衍射屏在远场平面上形成的干涉光场的相位和零值线进行了计算模拟.当入射光束的轨道角动量量子数为零时,实部零值线与虚部零值线在干涉光场中心点不相交,因而在该点上不能形成相位涡旋.当入射光束的轨道角动量量子数为+1和-1时,实部零值线与虚部零值线在干涉光场中心垂直并相交,干涉光场相应位置处的相位涡旋的符号相反.当入射光束的轨道角动量量子数为±2和±3时,有四条零值线相交于干涉光场的中心点上,并且实部零值线和虚部零值线交替分布,该交点处形成的相位涡旋的拓扑荷的值恰好与拉盖尔-高斯光束的轨道角动量量子数相等.这种结果可以用来测量涡旋光束的轨道角动量.     

掺Yb光纤激光器阵列谱合成系统的光束传输模型及光束特性分析

建立了由掺Yb光纤激光器阵列、变换透镜、闪耀光栅和输出耦合镜组成的光束谱合成系统的光束传输模型.在考虑光栅角色散、光栅刻槽倾角误差和光栅衍射效率情况下,利用光线追迹法、衍射积分方法、光束非相干叠加原理和强度二阶矩方法,推导出高斯光束非平行倾斜入射到闪耀光栅的相位变化公式以及谱合成光束的光强分布解析表达式.分析了高斯光束非平行倾斜入射到光栅后,光栅角色散、光栅衍射效率和光栅刻槽倾角误差对掺Yb光纤激光器谱合成系统输出光束特性的影响.研究结果表明,谱合成光束具有与单根光纤激光器几乎相同的光束质量;光栅角色散对合成光束特性的影响可忽略;随着光栅刻槽倾角误差的增大,谱合成光束的光束质量明显变差;当光栅刻槽倾角误差较大时,必须考虑光栅衍射效率对合成光束特性的影响. 关键词： 掺Yb光纤激光器 非平行倾斜入射 光束谱合成 光束质量     

基于高阶角向偏振拉盖尔高斯涡旋光束强聚焦的三光链结构

依据角向偏振涡旋光束强聚焦有径向分量的结论,修正了角向偏振涡旋光束的强聚焦场公式,重新研究了高阶角向偏振拉盖尔高斯涡旋光束经过衍射光学元件和高数值孔径透镜后的强聚焦特性。结果发现,在焦平面附近获得了新的三维三光链结构(沿着光轴方向的一条三维主光链和对称的两条三维傍轴次光链),详细分析了入射光束缔合拉盖尔多项式的径向模数和光束的拦截比、衍射光学元件结构和聚焦系统的数值孔径对三光链的影响。结果表明,径向模数的改变会破坏三光链结构,通过调控衍射光学元件结构和拦截比可以重新获得对称性更高的三光链结构,从而实现对三光链结构的高自由度调控。     

Effects of misalignments in the optical vortex transformation performed by holograms with embedded phase singularity

Spatial characteristics of diffracted beams produced by a “fork” hologram from an incident circular Laguerre-Gaussian beam whose axis differs from the hologram optical axis are studied theoretically. General analytical representations for the complex amplitude distribution of a diffracted beam are derived in terms of superposition of Kummer beams or hypergeometric-Gaussian beams. The diffracted beam structure is determined by combination of the “proper” topological charge m of the incident vortex beam and the topological charge l of the singularity “imparted” by the hologram. Evolution of the diffracted beam structure is studied in detail for several combinations of m and l and for various incident beam displacements with respect to the optical axis of the hologram. Variations of the intensity and phase distribution due to the incident beam misalignment are investigated and possible applications for the purposeful optical vortex beam generation and optical measurements are discussed.     

Displacements and deformations of a vortex light beam produced by the diffraction grating with embedded phase singularity

Properties of vortex light beams produced by a diffraction grating with groove bifurcation (“fork” structure) are studied in the case of small diffraction angles. Analytical expressions are derived for the amplitude distribution of a diffracted beam generated from an incident Gaussian beam with arbitrary radius and wavefront curvature, transversely shifted and inclined with respect to the nominal axis (normal to the grating crossing it at the bifurcation point). In such situations, the output beam becomes asymmetric; the optical vortex core and the intensity maximum displace orthogonally to the incident beam shift direction. The nearest vicinity of the vortex core preserves its circular symmetry and the optical vortex remains locally isotropic. The effects of misalignment depend on the incident beam characteristics, the diffraction order and the propagation distance behind the grating. Experimental measurements support the results of calculations.     

Orbital angular momentum density and spiral spectra of Lorentz–Gauss vortex beams passing through a single slit

Based on the Hermite–Gaussian expansion of the Lorentz distribution and the complex Gaussian expansion of the aperture function, an analytical expression of the Lorentz–Gauss vortex beam with one topological charge passing through a single slit is derived. By using the obtained analytical expressions, the properties of the Lorentz–Gauss vortex beam passing through a single slit are numerically demonstrated. According to the intensity distribution or the phase distribution of the Lorentz–Gauss vortex beam, one can judge whether the topological charge is positive or negative. The effects of the topological charge and three beam parameters on the orbital angular momentum density as well as the spiral spectra are systematically investigated respectively. The optimal choice for measuring the topological charge of the diffracted Lorentz–Gauss vortex beam is to make the single slit width wider than the waist of the Gaussian part.     

The effect of tilt aberration and astigmatism of turbulent atmosphere on the intensity distribution of a vortex carrying Gaussian beam

The effect of tilt and astigmatism aberration of the turbulent atmosphere on the intensity distribution of a focused vortex carrying Gaussian beam was investigated based on the extended Fresnel-Kirchhoff diffraction integral and the quadratic approximation of phase structure function. Our results have shown that the intensity distribution on the focal plane in the effect of tilt aberration changes with the turbulent strength, the propagation distance and the topological charge of the initial beam. The propagation distance is larger, the focal spot size will be larger, and the central dip will be less deep. It is also noticed that the intensity distribution of a beam with single topological charge is affected more by tilt aberration in comparison to the beam with double topological charge. The effect of astigmatism on the intensity distribution is quite less than that of tilt aberration. For focused beam propagation in atmosphere, the effect of the tilt aberration on the intensity distribution of optical vortex beam is the main effect of total turbulent aberration.     

光涡旋偶极子经半屏衍射后的演化

推导出寄居于高斯光束中的光涡旋偶极子经过半屏衍射后的解析传输公式.利用所得公式对光涡旋偶极子经半屏衍射后的演化做了详细研究.结果表明,与自由空间中光涡旋偶极子演化相比较,衍射场中会出现多对光涡旋偶极子,湮没方式与离轴量有关.随离轴参数的变化,偶极子出现不同的演化特性,但在演化过程中,拓扑电荷守恒. 关键词： 光涡旋偶极子 半屏衍射 拓扑电荷     

Transformation of optical-vortex beams by holograms with embedded phase singularity

Spatial characteristics of diffracted beams produced by the “fork” holograms from incident circular Laguerre-Gaussian modes are studied theoretically. The complex amplitude distribution of a diffracted beam is described by models of the Kummer beam or of the hypergeometric-Gaussian beam. Physically, in most cases its structure is formed under the influence of the divergent spherical wave originating from the discontinuity caused by the hologram’s groove bifurcation. Presence of this wave is manifested by the ripple structure in the near-field beam pattern and by the power-law amplitude decay at the beam periphery. Conditions when the divergent wave is not excited are discussed.The diffracted beam carries a screw wavefront dislocation (optical vortex) whose order equals to algebraic sum of the incident beam azimuthal index and the topological charge of the singularity imparted by the hologram. The input beam singularity can be healed when the above sum is zero. In such cases the diffracted beam can provide better energy concentration in the central intensity peak than the Gaussian beam whose initial distribution coincides with the Gaussian envelope of the incident beam. Applications are possible for generation of optical-vortex beams with prescribed properties and for analyzing the optical-vortex beams in problems of information processing.     

Angular momentum density of a Gaussian vortex beam

The Gaussian vortex beam is assumed to be linearly polarized.The analytical expression of the electric field of a linearly polarized Gaussian vortex beam propagating in free space is derived by using the vectorial Rayleigh-Sommerfeld integral formulae.The propagating magnetic field of the linearly polarized Gaussian vortex beam is presented by taking the curl of the electric field.By employing the electromagnetic field of the linearly polarized Gaussian vortex beam beyond the paraxial approximation,the analytical expression of the angular momentum density of the linearly polarized Gaussian vortex beam is derived.The three components of the angular momentum density of a linearly polarized Gaussian vortex beam are demonstrated in the reference plane.The effects of the linearly polarized angle and the topological charge on the three components of the angular momentum density are investigated.To acquire the more longitudinal angular momentum density requires such an optimal choice that the linearly polarized angle is set to be zero and the topological charge increases.This research is useful to the optical trapping,the optical guiding,and the optical manipulation.     

Dynamic generation of plasmonic Moiré fringes using phase-engineered optical vortex beam

Dynamic generation of plasmonic Moiré fringes using a phase engineered optical vortex (OV) beam is experimentally demonstrated. Owing to the unique helical phase carried by an OV beam, the initial phase of surface plasmon polaritons (SPPs) emanating from a metallic grating can be adjusted dynamically by changing the phase hologram displayed on a spatial light modulator. Plasmonic Moiré fringes are readily achieved by overlapping two SPP standing waves with certain angular misalignment, excited by the positive and negative topological charge components, respectively, of a cogwheel-like OV beam. The near-field scanning optical microscopy measurement result of SPP distributions has shown a good agreement with the numerical predictions.     

涡旋洛伦兹-高斯光束的远场矢量结构特征

利用矢量角谱法和稳相法,研究了涡旋洛伦兹-高斯光束的远场矢量结构特征,导出了横电项(TE项)和横磁项(TM项)远场电磁场和相应能流的解析表达式。通过相应的数值计算,分析了拓扑电荷数对涡旋洛伦兹-高斯光束及其矢量结构项远场能流分布的影响。TE项由位于竖直方向的2瓣或3瓣组成,TM项可由TE项旋转90得到。涡旋洛伦兹-高斯光束在拓扑电荷数小时内部中空,外部亮环均匀分布。增大拓扑电荷数,涡旋洛伦兹-高斯光束外部亮环上的能流呈起伏分布,内部变化相对复杂。涡旋洛伦兹-高斯光束及其矢量结构项的光斑尺寸随拓扑电荷数的增大而增大,但会饱和。研究显示,涡旋洛伦兹-高斯光束在实际应用时拓扑电荷数不宜过大。