双Pearcey光束的构建及数学机理研究

通过推导椭圆线的菲涅耳衍射分布,得到了形如Pearcey函数的数学表达式.通过数值模拟和实验产生,发现椭圆光环经菲涅耳衍射后形成的Pearcey光束外形上很像两个经典Pearcey光束面对面组合而成,我们把它命名为双Pearcey光束,这是形式不变Pearcey光束家族的新成员.随后,利用数学突变理论,给出了双Pearcey光束所具有的光学拓扑结构的数学机理和相应表达式.     

基于零级贝塞尔光束干涉产生的局域空心光束

通过对由两个零级贝塞尔光束相干叠加形成的三维衍射光场的理论分析和计算机模拟,发现当双零级贝塞尔光束的有关参量满足一定条件时,会在光轴上形成一系列高质量的局域空心光束。在此基础上,进一步分析了这种阵列局域空心光束的大小、阵列周期及局域空心光束的质量与双零级贝塞尔光束和光路参量的定量关系。推导出双零级贝塞尔光束叠加时在中心暗斑位置达到完全干涉相消的条件是通过两个环缝的能量要相同,以及产生最佳局域空心光束的内外环缝光源半径的比值为0.465。该研究为进一步设计制备基于双零级贝塞尔光束干涉实现阵列局域空心光束的新型衍射光学元件提供了理论依据和设计参量。     

空心锥状双高斯光束传输特性研究

建立了空心锥状双高斯光束的模型.在空心高斯光束模型的基础上,由初始光场的光强分布,利用柱坐标下的柯林斯公式,导出了空心锥状双高斯光束经过傍轴光学系统的解析传输变换式由传输变换式计算分析了空心锥状双高斯光束在自由空问的可控传输特性,及在1,10和60 m的截面光环的光强分布.用KNbO3双轴晶体进行实验,获得了空心锥状双高斯光束,外锥折射的锥角等于入射光会聚角.实验表明,当空心光束处于锥状发射状态时,空心光束的光环内黑斑面积随传输距离的增加而增加,实验结果与模型吻合较好.该研究为进一步设计制备基于空心锥状舣高斯光束的新型激光元件提供了理论依据和设计参量.     

Coupling and stability of bright holographic soliton pairs

The coupling effect and stability property of symmetric bright holographic soliton pairs have been investigated numerically. Results show that when any one of the two solitary beams from a pair is perturbed in amplitude or width, both beams will be affected by such a perturbation via the coupling effect between the beams, thus resulting in both beams propagating in the medium without a constant shape; however, these two solitary beams are still stable against small perturbations. When both solitary beams from a pair are perturbed simultaneously in amplitude, for some given absolute values of the perturbations, the two beams are stable against these perturbations if both beams are perturbed with the same sign, whereas are unstable with the different signs. When the two beams are simultaneously perturbed in width, both beams exhibit their stability property similar to that when only one beam is perturbed no matter whether both perturbations have the same or different signs.     

高阶椭圆厄密–高斯光束的轨道角动量研究

从傍轴条件下光束轨道角动量的基本理论出发,根据高阶椭圆厄密–高斯光束的光场分布,运用张量方法,对高阶椭圆厄密-高斯光束轨道角动量的密度分布进行了理论分析,得到了求解该密度分布的计算公式,并在给定参量条件下作了数值模拟.进一步对光束中每个光子携带的平均轨道角动量进行了计算,发现其值随着椭圆厄密-高斯光束阶次的增大而增大,表明高阶椭圆厄密-高斯光束能够比椭圆高斯光束或拉盖尔-高斯光束提供高得多的轨道角动量.     

天鹅绒阴极产生的强流双脉冲电子束特性

 通过一台2 MeV直线感应型强流电子注入器建立的双脉冲功率源系统,实验研究了天鹅绒阴极产生的相对论性猝发双脉冲强流电子束基本特性,给出了双脉冲电子束的积分发射度、亮度和双脉冲电子束时间分辨包络变化情况。研究结果表明：天鹅绒阴极产生的双脉冲的亮度达到108 A·(m·rad)^-2;实验得到的两个脉冲电子束包络半径不完全一致,这是由于天鹅绒阴极在发射电子束过程中产生的阴极等离子体对真空二极管的影响程度不同所导致的。     

环状平顶光束的传输特性研究

利用偏心高斯光束相干叠加方法，建立了柱坐标系下环状平顶光束模型.采用广义强度二阶矩定义，推导出环状光束广义M2因子的解析表达式.利用广义衍射积分理论，给出环状光束经过近轴ABCD光学系统的传输公式，并进一步给出了环状平顶光束修正的菲涅耳数定义.分析了环状平顶光束在自由空间的传输规律.研究结果表明，该模型可统一描述基模高斯光束、环状高斯光束以及环状平顶光束.环状平顶光束的广义M2因子和环状平顶光束的传输特性与其阶数及遮拦比有关.     

高功率微波空间功率合成的初步研究

 针对目前高功率微波相位难以精确控制的情况,结合高功率微波空间功率合成的应用,对有源天线阵列的平行波束和交叉波束的空间功率合成作了初步研究。分析表明：当关注的是远区主方向邻近的小立体角区域时,若能做到控相激励,宜采用紧凑阵的平行波束合成;若不能控相,宜采用稀疏阵的平行波束合成。当关注的是远处目标物邻近的区域时,若能做到控相激励,宜采用紧凑阵的平行波束合成;若不能控相,则宜采用稀疏阵的交叉波束合成,但波束交汇区域能量呈网状分布,进行阵布局、倾斜角设计时,要在目标尺度、目标距离、单源功率、工作频率等诸多因素间权衡考虑。     

Area scintillations of Bessel Gaussian and modified Bessel Gaussian beams of zeroth order

As an extension of our previous study, the area scintillation aspects of Bessel Gaussian and modified Bessel Gaussian beams of zeroth order are investigated. The analysis is carried out on the basis of equal source sizes and equal source powers. It is found that, when compared on equal source size basis, modified Bessel Gaussian beams always have less area scintillations than a Gaussian beam, while Bessel Gaussian beams exhibit more area scintillations. Comparison on equal source power basis, however, removes the advantage of modified Bessel Gaussian beams, that is, their area scintillations become nearly the same as those of the Gaussian beam. On the other hand, for the case of equal source powers, Bessel Gaussian beams with larger width parameters continue to have higher area scintillations than the Gaussian beam. We provide graphical illustrations for profiles of equal source size beams, equal source power beams and the curves to aid the selection of equal source power beams.     

C60掺杂向列相液晶中光栅衍射选择性的分析

利用琼斯矩阵(Jones matrix) 方法对C60掺杂向列相液晶中光栅衍射选择性进行分析.给出两束p 偏振光在液晶样品中产生相位全息光栅的透射矩阵,通过探测光的矢量和光栅透射矩阵的琼斯矩阵运算,可以探测衍射光束的偏振态与入射光偏振态的关系.分析发现对于p 偏振的探测光,透射光和正、负一阶衍射光的偏振态均为p 偏振,且正、负一阶衍射效率相同;对于s 偏振的探测光只有透射光存在,可见记录的相位光栅表现出光栅衍射的选择性.     

Relation between Airy beams and triple-cusp beams

Airy beams and triple-cusp beams are two kinds of accelerating beams. The propagation characteristics and internal topological structures of accelerating Airy beams are well understood because of the developed mathematical theory about Airy function. However, limited information is available about the optical characteristics of accelerating triple-cusp beams. In this work, the relationship between Airy beams and triple-cusp beams is examined theoretically and experimentally. Results reveal some important optical characteristics of triple-cusp beams based on the optical characteristics of Airy beams. These findings are expected to provide a foundation for future applications of triple-cusp beams.     

Generation of radially polarized beams using spatial light modulator

Radially polarized beams have attracted much attention and found many applications in many optical systems, recently. And generation of radially polarized beams is necessary for experimental research and applications. In this paper, a kind of generation method was proposed. Two beams are obtained by spatial light modulator and pi phase plate, and then interfere to form desirable radially polarized beams. Experimental results show that radially polarized beams are higher property, which shows this kind of interferential generation of radially polarized laser beams work effectively.     

Generation of nearly diffraction-free laser beams

Laser beams which behave like the so-called diffraction-free beams have been generated by an argon ion laser with a new type of cavity. They have almost the same intensity distributions and propagation characteristics as those predicted for the Bessel-Gauss beams which were introduced recently. Beams corresponding not only to the lowestorder but also to higher-order Bessel-Gauss beams have been obtained.     

Forced vibration of Euler-Bernoulli beams by means of dynamic Green functions

A method for determining the dynamic response of prismatic damped Euler-Bernoulli beams subjected to distributed and concentrated loads is presented. The method yields exact solutions in closed form and may be used for single and multi-span beams, single and multi-loaded beams, and statically determinate and indeterminate beams. Also Green functions for various beams with different homogenous and elastic boundary conditions are given. In order to demonstrate the use of the Green functions method, several examples are given. Some of the obtained results are compared with those given in the references.     

基于级联体光栅的光纤激光阵列谱组束

提出了一种基于级联体光栅(VBG)的谱组束方案,组柬阵元数可随级联体光栅的数目倍增.给出了一个双光栅级联谱组束系统实例,将组束阵元按波长分为两组,利用具有相应波长选择性的体光栅分别对它们进行组束,由于两个级联体光栅的角度选择性互不重叠,所有光束经第二个体光栅后都沿其布拉格(Bragg)角方向出射,实现近场和远场的功宰叠加.为保证各光束传播方向的一致性,采用严格耦合波理论推导出了准确计算光束入射角的解析式.数值计算结果表明各光束的平均衍射效率优于80%,在入射角偏离理论值不超过±5'(≈2.424×10-5rad)的条件下组束光中所有光束的传播方向偏差小于4×10-7rad.     

环状光束通过透镜的聚焦特性研究

给出了环状光束在柱坐标系下的一种描述模型,并利用广义衍射积分理论,推导出环状光束经过近轴ABCD光学系统的传输公式.在此基础上,通过数值模拟方法定量分析了环状光束的聚焦光强分布以及焦面处的桶中功率.研究结果表明,环状光束的聚焦特性与光束阶数以及系统菲涅耳数有关;环状光束在实际焦面和几何焦面上的桶中功率均随着遮拦比的增大而降低,而随着系统菲涅耳数的增大而增大.在实际工作中,通过合理地选取系统菲涅耳数和光束遮拦比可以有效地控制环状光束聚焦后的光束质量.     

对称化光学系统对像散复宗量厄米-高斯光束的变换

 使用二阶矩和广义惠更斯 菲涅尔衍射积分方法研究了用于实宗量厄米高斯光束对称化的光学系统对复宗量厄米-高斯光束的变换。研究结果表明：复宗量厄米-高斯光束经过该光学系统后，只能在出射面上实现在二阶矩定义下的对称化，但光斑不具有旋转对称性。因此，这套用于实宗量光束对称化的光学系统对复宗量光束并不适用。     

大气湍流对部分相干电磁平顶光束传输的影响

基于相干性和偏振性统一理论,采用Rytov相位结构函数平方近似推导出了部分相干电磁平顶光束在湍流大气中传输的偏振度、相干度和光谱强度公式,并研究了湍流对其传输特性的影响.研究表明,偏振度和相干度与源光谱的带宽无关.大气湍流使得不同阶数的部分相干电磁平顶光束的偏振度经长程传输后均趋于其初始值.大气湍流使得部分相干电磁平顶光束与电磁高斯-谢尔模型光束相干度的差别减小,并导致相干度的振荡和相位奇异现象消失.大气湍流使得相干性较好的部分相干电磁平顶光束的光谱跃变现象消失.     

高效产生任意矢量光场的一种方法

提出一种高效产生任意矢量光场的方法.利用两个光束偏移器分别对两个正交线偏振分量进行分束与合束,将传统激光模式转化为任意矢量光场.所产生矢量光场的偏振态和相位分布通过相位型空间光调制器(SLM)加载相应的相位实时调控.由于光路系统中不涉及任何衍射光学元件和振幅分光元件,光场转换效率高,仅取决于SLM的反射率,并且光路系统结构紧凑、稳定,同轴性易于调节.实验结果显示,采用反射率为79%的相位型SLM产生矢量光场的转换效率可达到58%.     

相位翻转厄米-高斯光束的传输特性

将相位翻转高斯光束的概念推广到相位翻转高阶模光束.以相位翻转厄米-高斯光束为例,推导出相位翻转高斯光束通过近轴理想(无光阑)ABCD光学系统,以及带刀口和光阑的ABCD光学系统传输的递推方程,并用以研究相位翻转高斯光束的传输特性.特别是,得出对TEM1、TEM2和TEM3模相位翻转高斯光束,光阑效应可以忽略的条件分别是截断参量δ≥2.1,2.5和 3.0.