机载激光通信链路中光场二阶特性的分析计算

为了评估大气湍流对机载激光通信系统的影响,理论分析和数值计算了机载激光通信链路中传输光场的二阶特性,包括接收光斑尺寸、光斑偏移量、光束相干半径、光束到达角起伏。计算结果表明:大气湍流对空间激光通信系统的影响主要在低空对流层,并随着机载平台高度的增加而降低。由于受到低空大折射率结构常数的影响,上行链路的接收光斑尺寸、光斑漂移量比下行链路大。下行链路光束到达角抖动比上行链路大,其值为若干rad。提出的模型及计算结果,可以为机载激光通信系统设计及性能评估提供参考。     

湍流大气传输中跟踪抖动对远场影响的仿真研究

分析了跟踪抖动对湍流大气传输远场光斑的影响。基于麦克斯韦电磁场理论,采用大气相干长度对大气湍流进行描述,推导了发射光束因跟踪抖动导致光轴偏离的远场表达式。在此基础上,利用相位屏法模拟抖动引起的倾斜相位和大气折射率起伏引起的相位调制,并采用低频补偿的功率谱反演法对传输过程进行了数值仿真。分析了不同跟踪抖动、湍流强度条件下远场光斑质心脱靶量的变化,以及不同尺寸模拟目标的回波概率。分析结果表明,在传输距离为10 km时,强湍流造成的远场光斑脱靶量可达几十μrad;当跟踪抖动较大时,湍流强弱对脱靶量影响差别很小。最后,对一定尺寸的模拟目标,从探测回波概率的角度给出了发射系统跟踪抖动量的控制范围。     

大气湍流对多抖动法相干合成技术中相位调制信号的影响

分析了大气湍流对采用多抖动法实现的相干合成阵列光束中相位调制信号的影响. 文章首先根据广义惠更斯-菲涅耳原理,采用折射率结构函数对大气湍流进行描述,推导了多抖动法相干合成中阵列光束通过大气湍流后相位调制信号的一般表达式. 在此基础上进行数值模拟,分析了传输距离、湍流强度、光束阵列占空比和光斑尺寸等因素对相位调制信号的影响. 研究发现随着传输距离的增大,相位调制信号强度会先增大后减小,存在一个极大值点;随着湍流强度的增强,相位调制信号强度极大值点的出现距离不断缩短;当光束阵列占空比一定时,随着光斑尺寸的增大 关键词： 大气湍流 相干合成 多抖动法 相位调制     

指向误差对海上无线光通信误码率性能的影响分析

基于近海环境的大气信道测试链路,实时测量了大气湍流中的大气折射率结构常数、光束漂移方差和光束半径等参数的实验数据。对仅考虑湍流影响和考虑指向误差影响的无线光通信的误码率(BER)模型进行对比分析,分析考虑指向误差影响下的BER分别随大气折射率结构常数、光束漂移和光束扩展半径的变化关系。分析结果表明,实际测量的BER分布随着大气折射率结构常数的增大而变大,受到光束漂移和光斑扩展效应的影响,在大气折射率结构常数较小时,实际测量BER较理论计算的BER大10~20个数量级。     

部分相干光在大气湍流中的光强闪烁效应

以修正Rytov方法为基础,利用部分相干高斯-谢尔(GSM)光束模型并结合Andrews的唯像闪烁模型,研究部分相干光在大气湍流中的光强闪烁效应。推导出适用于不同湍流情形的部分相干光对数光强起伏方差表达式,系统分析了部分相干光在大气湍流中的光强起伏方差。结果表明:在同等的湍流环境下,部分相干光比完全相干光的光强起伏方差要小;光束相干性越差,光强起伏越小,抗湍流能力越强。在不同大气湍流情形下,光源相干性、大气折射率常数等参数对光强起伏都有不同程度的影响。     

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.     

湍流等离子体鞘套中高斯光束的传播特性分析

为了研究高斯光束在湍流等离子体鞘套中的传输特性,根据广义惠更斯-菲涅耳原理,采用基于快速傅里叶变换的功率谱反演法,用多随机相位屏来模拟湍流带来的影响.根据超声速飞行器绕流等离子体流场厚度在厘米级别的特点,光束在两个相位屏之间的传输过程中采用菲涅耳衍射积分的两次快速傅里叶变换算法(double fast Fourier transform algorithm),利用多随机相位屏模拟等离子体鞘套湍流对光束传输产生的影响,解决了多随机相位屏模拟湍流研究中的超短距离传输问题.当飞行高度为45 km,飞行速度为18马赫时,通过对超声速飞行器绕流等离子体流场的统计分析,发现在此飞行条件下折射率起伏方差的强度范围10~(–11)—10~(–14).对高斯光束在湍流等离子体流场中的传输特性进行了数值仿真.结果表明:在等离子体鞘套湍流中折射率起伏强度、波长、传输距离等都是影响高斯光束质量的重要因素.折射率方差越大,传输距离越长,光斑弥散越严重,光强起伏越大,光强减弱也越明显.光束的波长越长,高斯光束抑制湍流的能力越强,光斑弥散程度越小,光强起伏也越小.     

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.     

激光收发望远镜的几何布局对光束到达角起伏相关性的影响

大气湍流的倾斜扰动会导致光束在通过大气后到达角发生起伏。对于激光测距、激光导引星等应用场合,激光分别在发射和接收时两次通过了湍流大气。激光收发望远镜几何布局方式的不同会引起激光发射和接收光路中的倾斜相关性出现差异,最终影响接收望远镜探测到的激光到达角起伏。从激光收发望远镜布局的一般几何模型出发,利用Zernike多项式波前展开,给出了受大气湍流影响的分离孔径倾斜相关函数。分析了收发共光路与非共光路情况下,不同的几何限制导致的光束到达角起伏相关性变化。最后,讨论了不同的激光收发望远镜的几何布局对接收望远镜探测到的光束到达角起伏的影响。     

湍流大气中激光传输对傅里叶望远镜成像质量的影响

针对傅里叶望远镜系统激光在湍流大气中传输造成的成像质量下降,分析了湍流对光束传输特性的影响,指出成像质量的下降主要来自于上行传输链路中湍流造成的光束漂移与光束扩展,从而产生光束指向误差。分析了指向误差影响成像的机理。通过数值计算得出了不同强度湍流造成整条上行链路光束指向误差,并通过系统仿真,得到了不同强度大气湍流条件下的成像结果。结果显示:在弱湍流与中湍流条件下（大气折射率结构常数小于10-14 m-2/3）,随机指向误差较小(偏移比小于0.06),复原图像有较好的识别性;在强湍流条件下,成像质量下降严重。因此系统应选择避开强湍流地理位置与时段进行工作。     

一种CCD辅助测量基模(TEM00)激光光斑尺寸的方法

激光光束是一种振幅和等相位面都在变化的高斯球面光波,其最小光斑的位置和大小不易确定,本文在实践的基础上提出一种测量基模(TEM₀₀)激光光斑尺寸的方法,解决了这一问题.     

计算海面激光反射特性的几何光学方法研究

研究了计算海面激光反射的几何光学方法。首先根据JONSWAP非稳态海谱模型数值模拟出二维随机粗糙海面,再采用几何光学方法对入射激光光束在海面上的反射光进行建模,最后计算出海面激光光斑反射光强的空间分布。编制了相关的计算机程序,分析了在不同入射角度和不同风速下的激光光束反射特性。计算结果表明该方法对研究二维随机粗糙海表面激光反射特性有一定参考价值。     

湍流中漫射目标偏振部分相干激光的闪烁特性

采用广义惠更斯-菲涅耳原理和矩阵光学理论,研究了湍流大气中偏振部分相干激光波束从发射机到目标和从目标到接收机双程路径的闪烁特性。将产生任意偏振光束的琼斯矩阵和ABCD传输矩阵进行结合,围绕接收机处波场四阶矩展开推导,得出双程路径下偏振部分相干激光波束在接收机处的闪烁指数表达式,数值分析了大气折射率结构常数、激光波束的波长、束宽、相干长度对接收机处光强闪烁指数的影响。结果表明:偏振部分相干激光波束的闪烁指数随着目标与发射机之间距离呈现先增大、到达峰值后逐渐减小的变化趋势;相干性差的光束产生的闪烁指数小,相干长度微小的变化将会产生较大的闪烁指数变化,相干性好的光束产生较大的闪烁指数,但是相干长度的变化对闪烁指数的影响很小。     

On the focusing limit of high-power femtosecond laser pulse propagation in air

Focused propagation of high-power femtosecond laser radiation in air is considered. Based on numerical solution of the nonlinear Schr?dinger equation for complex envelope of light wave electric field, evolution of the beam effective radius is studied. The dependence of the effective (rms) size of a focal spot and the maximally achievable intensity of laser radiation at focal waist on the initial pulse power is established. It is shown that focal spot of tightly focused intensive ultrashort laser radiation can change its size during the pulse passage through the beam waist. This is the consequence of pulse intensity clamping in region of beam focusing caused by gas photoionization and plasma producing. This may prevent laser intensity from its further growth in the focal region and arrest the transversal compression of the beam in the linear focus as a whole.     

Light power density distribution of image spot of laser triangulation measuring

HaiMing Wang [Wang HaiMing, Long range optical triangulation utilising collimated probe beam. Optics and Lasers in Engineering, 23(11), 1995, 41–52] studied the influences of the size of the object spot on the image spot in laser triangulation measuring. This paper points out that the study method of HaiMing Wang is inappropriate from two points of view. The size and relative power density distribution of the image spot can be calculated either when assuming the object spot is an ideal point, which emits a uniform spherical wave over the object, or when assuming that the object surface is a light scattering surface. Both the conditions show that the size of the image spot is much bigger than that of HaiMing Wang’s.     

Trap position control in the vicinity of reflecting surfaces in optical tweezers

Shift of the trap position from the laser beam waist of optical tweezers is studied experimentally in the presence of a reflecting surface in the vicinity of the focal plane. A standing wave is formed owing to the interference of waves forming the waist and reflected from the surface. The standing wave is shown to affect significantly the resulting trap position. The distance between the surface and the stable optical trap as a function of the trapped particle size is studied numerically. A new method to stabilize the position of the microparticle relative to the surface is proposed. The localization accuracy is determined by the Brownian fluctuations in optical tweezers and is about 10 nm for effective trap stiffness of 4 × 10^?5 N/m.     

衍射光学器件光线追迹公式的实验验证

本文介绍了一种衍射光学器件光线追迹的方法，并给出了计算公式。作为验证，在实验室里制作了具有连续相位的体全息器件，将其实际再现光斑与计算点列图进行比较。构造透射体全息片的物光为离轴的球面波，始于轴外点Ａ（０，１３２ｓｉｎ８°，－１３２ｃｏｓ８°），参考光为平面光束，其与Ｚ轴夹角为１７°。激光器采用氩离子激光器（Ｓｐｅｃｔｒａ－ｐｈｙｓｉｃｓＭｏｄｅｌ２０２０），波长４８８ｎｍ；干板感光胶为重铬酸明胶（ＤＣＧ），胶层厚为１５μｍ；通光口径３０ｎｍ。测试时把全息片放在干板的位置。挡住物光，让再现光以和参考光路相同的路径平行入射到全息片上，在全息片后垂直光轴放置毛玻璃片，平行光轴移动毛玻璃片，可观察到－１级衍射光的变化。在距离原点的距离分别为（ａ）４０ｍｍ，（ｂ）７０ｍｍ，（ｃ）８７ｍｍ，（ｄ）９５ｍｍ的地方用ＣＣＤ拍摄了衍射光的形状，与程序计算的点列图在形状和大小上都吻合     

Beam and phase effects in angle-beam-through-transmission method of ultrasonic velocity measurement

The accuracy of a plane wave approximation for phase velocity measurements in isotropic and anisotropic material using the angle-beam-through-transmission method has been investigated numerically and experimentally. In this method the velocity is measured in different propagation directions as a function of incidence angle. The effect of two factors on the measurement accuracy have been discussed: intrinsic phase shift of the transmitted signal through a fluid-solid interface and beam diffraction due to the finite beam size of receiver and transmitter. It is shown that the interface-induced phase shift can introduce an error in time delay measurements of the shear wave after the first critical angle and that this time delay error can be accurately corrected for. Numerical results obtained by a time-domain beam model show that except at the critical angles, the finite width of the transmitter and receiver only affects the amplitudes of the transmitted signals and has almost no effect on the measured zero-cross time delay; therefore the plane wave approximation for obtaining phase velocity from the measured time delay data by this method and the plane wave interface-induced phase correction are fully applicable.     

A method for measuring the thickness of transparent oil film on water surface using laser trigonometry

We present a method for measurement of thickness of transparent oil film on water surface based on laser trigonometry. With an oblique incident mode of single-point laser triangulation ranging system, laser light is incident on the upper and lower surfaces of the oil film being measured and an ellipse light spot is formed on the upper and lower surfaces of the oil film. The two light spots are imaged on an image plane CCD by an imaging lens and the image spot is formed and stored in a computer. The thickness of oil film being measured can be obtained by displacement of the image spot and the configuration parameter of the imaging system. The experiment is conducted using edible peanut oil and diesel oil. The research results show that the method presented in this paper is feasible and applicable to dynamic on-line measurement of oil film thickness of oil spill on sea surface.     

Rytov variance equivalence through extended atmospheric turbulence and an arbitrary thickness phase screen in non-Kolmogorov turbulence

An arbitrary thickness phase screen model can describe scintillation index for Gaussian beam propagating through a phase screen more accurate than thin phase screen model. To describing actual scintillation index for Gaussian beam propagating through an extended medium using a phase screen in weak non-Kolmogorov turbulence, the scintillation index and Rytov variance for arbitrary thickness phase screen model are derived. Specially, the ratio of the Rytov variances for a phase screen and extended random media is found under the assumption of equivalence in scintillation index of the two cases. The theoretical results show that the normalized Rytov variance varies with the power law of the turbulence spectrum, the relative thickness of the phase screen, the position of the phase screen, the transmitter beam parameters and the radial position at output plane. The influences of these variables are also simulated. These results will be applied to simulation of adaptive optics and laser communication.