基于拉盖尔-高斯光束的单光子捕获理论研究

基于TEM₁₀模拉盖尔-高斯光束,推导自由空间量子密钥分配中单光子捕获概率表达式。针对低轨卫星-地面站间激光链路进行单光子捕获分析。结果表明：采用可高度衰减激光脉冲的TEM₁₀模拉盖尔-高斯光束作为单光子源,单光子捕获采用前驱波参考脉冲设置时间窗口的方法,可使卫星上接收机以最大概率捕获光子。与基模高斯光束相比,采用TEM₁₀模拉盖尔-高斯光束的优点是,不会由于卫星运动而增加单光子捕获概率的损耗。     

基于拉盖尔-高斯光束的单光子捕获概率研究

单光子源通常采用基于高斯光束的高度衰减激光脉冲,假设激光束具有初始高斯时域脉冲波形和TEM01模拉盖尔-高斯空域分布.基于折射率起伏的Rytov近似和修正von Karman谱模型,研究了大气湍流对星地量子通信单光子捕获概率的影响;建立了上行信道和下行信道的单光子捕获概率理论模型;针对低轨卫星-地面站间激光链路,对单光子捕获概率进行了分析.结果表明:上行信道的单光子捕获概率强烈依赖于地面折射率结构常数C2n(0),且随着C2n(0)的增加而减小;然而,下行信道的单光子捕获概率并不依赖于C2n(0),即大气湍流对其没有影响.     

基于厄米-高斯光束的单光子捕获理论研究

从光波电磁场方程的TEM10和TEM01模厄米-高斯光束出发,推导了自由空间量子密钥分配的单光子捕获概率表达式.针对低轨卫星-地面站间激光链路,进行了单光子捕获分析.理论研究表明,对于低轨卫星-地面站间量子密钥分配,采用TEM10和TEM01模厄米-高斯型高度衰减激光脉冲作为单光子源是可行的.     

厄米-高斯模和拉盖尔-高斯模及它们之间的转换

介绍了厄米-高斯模和拉盖尔-高斯模的特点,基于厄米多项式与拉盖尔多项式之间的关系,给出了拉盖尔-高斯模用对角的厄米-高斯模的展开式表示,进而讨论了利用模式转换器使厄米-高斯光束转化为拉盖尔-高斯光束的方法。     

基于拉盖尔-高斯光束的单光子捕获概率研究（英文）

单光子源通常采用基于高斯光束的高度衰减激光脉冲,假设激光束具有初始高斯时域脉冲波形和TEM_(01)模拉盖尔-高斯空域分布.基于折射率起伏的Rytov近似和修正von Karman谱模型,研究了大气湍流对星地量子通信单光子捕获概率的影响;建立了上行信道和下行信道的单光子捕获概率理论模型;针对低轨卫星-地面站间激光链路,对单光子捕获概率进行了分析.结果表明:上行信道的单光子捕获概率强烈依赖于地面折射率结构常数C_n~2(0),且随着C_n~2(0)的增加而减小;然而,下行信道的单光子捕获概率并不依赖于C_n~2(0),即大气湍流对其没有影响.     

光纤激光器反馈耦合损耗分析

将双包层光纤基模LP01模近似表示为拉盖尔-高斯光束的线性叠加,前六阶的拉盖尔-高斯光束包含了LP01模能量的99.99％.利用拉盖尔-高斯光束的传输特性计算了腔镜分别为球面镜和透镜加平面反射镜时的反馈耦合损耗.结果表明,腔镜为球面镜时,只有当球面镜和到达球面镜光束的曲率半径匹配时才能获得最小的耦合损耗,特别是当平面镜紧贴光纤端面时,耦合损耗为0;当腔镜为透镜加平面反射镜时,将平面镜放置在透镜焦平面时获得最小反馈耦合损耗为0.25％.     

利用液晶空间光调制器产生高阶拉盖尔高斯光束

本文采用反射式纯相位液晶空间光调制器产生了实验需要的高阶拉盖尔高斯光束。理论上详细计算了生成高阶拉盖尔高斯(Laguerre-Gaussian)光束的最优参数选择,用MATLAB编写程序,制作产生高阶LG光束的相息图。通过CCD采集图像数据,观测了以平面波入射生成拉盖尔高斯光束的强度分布,并利用干涉法验证了产生高阶拉盖尔高斯光束的螺旋相位分布。在此基础上,对实验测得一维强度轮廓进行拟合分析并估算了实验产生LG光束的纯度。     

非局域非线性介质中的拉盖尔-高斯涡旋呼吸子和涡旋光孤子

在圆柱坐标系下,利用分离变量的方法求得了非局域克尔介质中拉盖尔-高斯光束传输的精确解析解。当输入功率等于临界功率时,光束演变为拉盖尔-高斯涡旋光孤子,是一种旋转的多环光孤子;当输入功率接近于临界功率时,光束在传输过程中形成拉盖尔-高斯涡旋呼吸子。结果表明,低阶的拉盖尔-高斯孤子呈现中空多峰亮环分布。     

拉盖尔-高斯光束傍轴度的变化

以拉盖尔-高斯(L-G)光束为例,详细研究了单色光束傍轴度的变化.结果表明,模指数、相对束腰宽度等光束参数的变化,通过近轴ABCD光学系统的传输,以及光阑衍射都会引起光束傍轴度的变化.但是,在自由空间中传输时,光束的傍轴度不变.对上述结果以数值计算例加以说明,并用光束傍轴度与远场发散角间的联系做了物理解释. 关键词： 傍轴度 远场发散角 拉盖尔-高斯光束     

高阶模高斯光束整形方法研究

研究了高阶模高斯光束的整形方法.在高阶模高斯光束和平顶光束理论模型的基础上,分别选择了平项洛仑兹函数和费米狄拉克函数作为平顶光分布函数,利用能量守恒定律,分别推导针对拉盖尔-高斯光束和厄米特-高斯光束整形系统中入射光与出射光的映射函数.最后利用ZEMAX软件设计了针对TEM01模高斯光束进行整形的非球面透镜元件.结果表...     

Point defects on graphene on metals

Understanding the coupling of graphene with its local environment is critical to be able to integrate it in tomorrow's electronic devices. Here we show how the presence of a metallic substrate affects the properties of an atomically tailored graphene layer. We have deliberately introduced single carbon vacancies on a graphene monolayer grown on a Pt(111) surface and investigated its impact in the electronic, structural, and magnetic properties of the graphene layer. Our low temperature scanning tunneling microscopy studies, complemented by density functional theory, show the existence of a broad electronic resonance above the Fermi energy associated with the vacancies. Vacancy sites become reactive leading to an increase of the coupling between the graphene layer and the metal substrate at these points; this gives rise to a rapid decay of the localized state and the quenching of the magnetic moment associated with carbon vacancies in freestanding graphene layers.     

基于Matlab分析负荷对多联机IPLV的影响

多联机有其特殊的优点,但是不同部分负荷的组合对IPLV的影响仍需进一步研究。文中建立IPLV与部分负荷的相关公式,运用MATLAB软件分析不同卸载级负荷与IPLV的关系,从而确定不同部分负荷的最优组合。     

Note on duality on polarized symplectic manifolds

In this note we use some of the results of [3] to derive a general duality theorem for the cohomologies of foliated structures on a manifold. The result is applied to the special case of a symplectic manifold M on which the foliation is given by a complex polarization F in the sense of geometric quantization. We obtain, for example, a rigorous proof of the fact that for a smooth function ƒ on M whose Hamiltonian vector field leaves F invariant, the spectrum of the corresponding prequantization operator v(ƒ) coincides with the spectrum of its transpose, under the above duality. This latter result was obtained by Simms in [12] under certain hypotheses. Proofs of the validity of those hypotheses are now available in the literature; cf. [3] and [7].     

Space-charge effects on multipactor on a dielectric

Analyzes the effects of space charge shielding on the steady state of a multipactor discharge on a dielectric. Analytic methods are used to obtain an exact function for the potential in the discharge, assuming a Maxwellian distribution of emitted electrons. An equation for the amount of power deposited on the dielectric by the multipactoring electrons, for a given saturation level, is given. A simple method for obtaining the saturation level, for a given material, is obtained     

Remarks on KdV-type flows on star-shaped curves

We study the relation between the centro-affine geometry of star-shaped planar curves and the projective geometry of parametrized maps into RP¹. We show that projectivization induces a map between differential invariants and a bi-Poisson map between Hamiltonian structures. We also show that a Hamiltonian evolution equation for closed star-shaped planar curves, discovered by Pinkall, has the Schwarzian KdV equation as its projectivization. (For both flows, the curvature evolves by the KdV equation.) Using algebro-geometric methods and the relation of group-based moving frames to AKNS-type representations, we construct examples of closed solutions of Pinkall’s flow associated with periodic finite-gap KdV potentials.