激光在湍流大气中的干涉仿真

通过研究激光在湍流大气中的传输情况，旨在为光学高分辨率干涉成像提供理论依据。采用相位屏的近似处理方法对激光通过大气湍流传输进行模拟，研究激光通过湍流大气的干涉情况。试验结果表明：孔径间距越大，干涉条纹越密；在传输距离为2km，大气湍流折射率结构常数C2n为10-14，即接近强湍流的情况下，可以形成比较好的干涉条纹。孔径间距较小时，干涉的明暗条纹清晰可见。在实际干涉成像中，可以选择适当的孔径间距来获得较好的干涉条纹，从而获得目标的高分辨率像。     

湍流大气中激光聚焦光束后向散射的数值模拟

 对基于聚焦光束后向散射到达角起伏的湍流测量进行了数值模拟。通过近轴标量波动方程和分形相屏算法,提出了聚焦光束二次传输的数值模型,分别就固定点信标光源和聚焦光束后向散射的到达角起伏方差的统计特征进行了分析,并取得了很好的相关性,得出了可以从聚焦光束的回波图像信号里提取大气湍流信息的结论。讨论了聚焦距离对固定点光源和回波光束的到达角起伏方差相似度的影响。     

激光传输模拟中基于衍射过程FFT算法的参量优化

为实现采用相位屏法正确模拟准直激光束经湍流大气的传输特性,根据湍流特性、抽样定理以及两屏间衍射过程FFT算法本身所决定的相邻两屏网格间距之间的关系,得出相位屏间距和网格间距确定网格数目最优取值的解析表达式,数值模拟高斯光束经自由空间和湍流大气传输的远场分布,网格数目取解析式求得的最优值848时,光束经自由空间传输的模拟结果与ABCD定律求得的解析结果完全一致;网格数目取836或860时,等效于光束通过偶数相位屏时被正透镜或负透镜阵列会聚或发散,削弱或夸大湍流大气对光束的影响,模拟结果出现严重偏差。     

Numerical approach to laser beam propagation through turbulent atmosphere and evaluation of beam quality factor

In this paper, propagation of a Gaussian laser beam through turbulent atmosphere is evaluated numerically. The beam quality factor for the propagated beam has been estimated for different turbulent conditions that are characterized by parameter C_n. The calculations show that the beam quality can be affected dramatically by atmospheric turbulence and the laser beam size and wavelength have major role in the results. Furthermore, the propagation of laser beam in longer distance results in more spatial perturbation of the beam. The results of these calculations and evaluation of beam quality factor M² can be used for estimating the refractive index structure parameter (or atmosphere turbulent parameter) C_n.     

Numerical simulation of turbulent mixing in plane laser targets

Results of 1D (with allowance for thek−∈ model) and 2D numerical simulations of laser-driven acceleration of corrugated foils are presented. They are made on the basis of two Lagrangian-Eulerian codes, the ATLANT code (Lebedev Physical Institute and Institute of Mathematical Modeling, Moscow) and the EGAK-LAZ code (All-Russian Scientific-Research Institute of Experimental Physics, Sarov). The simulations are made for the experimental conditions of the MISHEN’ laser installation (Nd laser with pulse energy of 50–100 J, TRINITI, Troitsk). The simulations based on the ATLANT and EGAK codes are in good agreement. The foil velocity obtained in the calculations agrees well with the experimental data. It is shown that turbulent mixing leads to a lower average density of nonablative foils. This enables one to determine empirical parameters of thek−∈ model from a comparison of experimental and calculation results. Translated from Preprint of the P. N. Lebedev Physical Institute No. 19 (1997).     

Statistics of breakdown centers during the propagation of laser radiation through a turbulent atmosphere

The statistics are examined for breakdown centers that arise in a polydisperse background aerosol during the propagation of intense laser radiation through a turbulent atmosphere.Translated from Izvestiya Vysshikh Uchebnikh Zavedenii, Fizika, No. 2, pp. 75–79, February, 1987.     

带初相位分布的径向基模激光束列阵在湍流大气中的传输特性研究

利用相干叠加原理和广义Huygens-Fresnel 衍射积分公式,理论上研究了具有确定初始相位排列的激光束列阵通过大气湍流的传播特性.发现在近距离的传输过程中,列阵光束的光强分布会出现螺旋状分布（即光学涡旋）.但由于大气湍流的影响,光束列阵远场涡旋特性随着传输距离的增加逐渐消失,成为无旋涡的实心光束;且当大气湍流变弱时,旋涡特性的有效传输距离逐渐变长. 关键词： 大气湍流 涡旋     

Pulsed single-photon Bessel beams propagation in non-Kolmogorov turbulent atmosphere

The analytic expressions are derived for the turbulent broadening, the long-term temporal broadening, the acquisition probability of single-pulse and the transmittance probability density of a pulsed space-time Bessel photon-beam propagating along a slant path in weak non-Kolmogorov atmospheric turbulence, based on the assumption of a pulsed Bessel beam with the initial Gaussian temporal shape of pulse and diffraction-free spatial distribution. It is shown that the turbulent broadening and the long-term temporal broadening are the nolinear-increase functions of the index of non-Kolmogorov turbulence and the effect of non-Kolmogorov index on the acquisition probability of single-pulse can be approximatively described by a Gaussian function with a peak value at non-Kolmogorov index close to 3.7 for the case of the input half-pulse width greater than picosecond (ps). The transmittance of probability density is decreasing as the increasing of the structure constant of the index of refraction, the zenith angle of communication channel, the propagation path and the pulse broadening. There is turbulent diffraction for Bessel beam propagation in turbulent atmosphere, but its free-space diffraction-free characteristic is reservation.     

Partially coherent vortex beams propagation in a turbulent atmosphere

Based on the Rytov approximation and the cross-spectral density approximation for the mutual coherence function of the partially coherent field, the propagation properties of the partially coherent beams with optical vortices in turbulent atmosphere are discussed. The average intensity and the mutual coherence function of the partially coherent vortex beams propagation in weak turbulent atmosphere are obtained.It is shown that the vortex structure of the average cross-spectral density of partially coherent beams has the same helicoidally shape as that of the phase of the fully coherent Laguerre-Gauss beams in free space and the relative intensity of the beam is degraded by optical vortex.     

部分相干光束经过湍流大气传输研究进展

相较于相干光束,部分相干光束经过湍流大气传输能够有效地抑制湍流引起的光束展宽、光斑漂移及光强闪烁等扰动效应,在自由空间光通信、激光雷达和激光遥感等方面有重要的应用前景.近年来,部分相干光束湍流大气传输研究受到越来越多学者的关注.本文回顾了部分相干光束在湍流大气中传输特性研究的发展历程、理论基础及常用的理论方法,介绍了处理光束经过湍流大气传输的相位屏数值模拟方法,以及如何把该方法运用到处理部分相干光束传输.     

超连续谱激光干扰多色CCD探测器建模仿真研究

结合超连续谱激光器光谱辐射特性及多色CCD信号传递转换机理,建立了激光干扰多色CCD成像仿真模型。依据多色CCD工作原理,理论分析了饱和串扰信号转移规律;根据多色CCD结构,借助光学专业设计软件实现CCD像面激光能量空间分布特性研究;综合考虑饱和串扰信号转移规律及CCD像面激光能量空间分布,建立了超连续谱激光干扰单色CCD饱和串扰效应仿真模型,在此基础上结合多色CCD成像多色可视化原理,实现超连续激光干扰多色CCD输出图像仿真。最后,引入图像质量评价因子,研究了不同激光能量对多色CCD输出图像质量的影响。实验结果表明:激光功率密度是激光干扰效果的重要影响因子,随着激光能量增大,多色CCD输出图像质量下降。     

Double-pass propagation of laser pulses reflected by a diffuse whiteboard or a corner-cube retroreflector in turbulent atmosphere

Atmospheric turbulence affects the transmission of laser pulses through the atmosphere. The effects mean that the peak power of the laser pulses is not stable. For laser pulses reflected by a cooperative target, the peak power instability is greater because of the double-pass propagation of the laser pulses through the same atmosphere. The atmospheric turbulence can be monitored by detecting the peak power instability of echo laser pulses. This paper presents a method for monitoring atmospheric turbulence based on a cooperative target. Comparative experiments are carried out based on using a diffuse whiteboard and a corner-cube retroreflector (CCR) as the cooperative target. The distance between the two terminals of the experimental system is 1550 m. The size of the diffuse whiteboard is 60×60 cm². The bottom surface of the CCR is a circle with a diameter of 1 in. and the three mirrors of the CCR are coated with silver. Experiment results show that the peak power instability of echo laser pulses retroreflected by the CCR is 28.3%. This is much larger than that diffuse reflected by the whiteboard (11.2%). This indicates that the method based on the CCR has higher atmospheric sensitivity. In addition, the peak power of the echo laser pulses retroreflected by the CCR is also much larger. Therefore, the system based on the CCR is more suitable for monitoring of atmospheric turbulence.     

Beam propagation analysis of a multi beam FSO system with partially flat-topped laser beams in turbulent atmosphere

In this paper, the propagation properties of partially coherent flat-topped (PCFT) laser beams in multi-beam FSO communication links are analyzed. Analytical expressions for the average intensity and beam width of PCFT multi beams are derived based on extended Huygens–Fresnel principle by considering the effects of turbulent atmosphere. Also power in bucket (PIB) is calculated numerically based on analytical expression of average intensity. It is revealed that PCFT multi beams can be converted into a Gaussian beam after sufficiently large propagation distance. It is found that correlation length, order of flatness and beams’ separation distances in the source plane have strong effects on minimum distance required for this conversion as well as beam width and PIB. Obtained results are confirmed and illustrated with numerical examples and resulted graphs.     

Propagation of laser array beams in a turbulent atmosphere

The propagation of phase-locked and non-phase-locked laser array beams of radial and rectangular symmetries in a turbulent atmosphere are investigated based on the extended Huygens–Fresnel integral. The beamlet used in our paper for constructing the laser array beams is of elliptical Gaussian mode. Analytical formulae for the average irradiance of phase-locked and non-phase-locked radial and rectangular laser array beams are derived through vector integration and tensor operation. The irradiance properties of these laser array beams in a turbulent atmosphere are studied numerically. It is found that both phase-locked and non-phase-locked radial and rectangular laser array beams eventually become circular Gaussian beams in a turbulent atmosphere, which is much different from their propagation properties in free space. The propagation properties are closely related to the parameters of laser array beams and the structure constant of the turbulent atmosphere. PACS 42.25.Bs; 41.85.Ew; 42.68.Ay     

激光大气闪烁的高频谱特性

 采用三波长闪烁仪进行了大气边界层的光传输实验,结果表明：在相同的传播条件下,非平面波激光大气闪烁功率谱的高频部分与波长存在着一定的关系,功率谱无标度区间的斜率即标度指数是一个与湍流强度、波长等因素有关的函数,在满足弱起伏的条件下,标度指数一般与波长呈负相关,波长愈长则标度指数愈小,频谱下降的趋势愈快;波长愈短则标度指数愈大,频谱下降的趋势愈慢。     

激光大气传输相位不连续点的时空演化特征的数值计算

利用激光大气传输4维程序对激光大气传输相位不连续点的时空演化特征进行了数值计算。仿真计算了相位不连续点随光波传输的产生和湮灭过程,以及某一固定传输位置处,畸变光场内的相位不连续点随时间的变化情况。计算结果表明,相位不连续点是随着波前运动的,并且可以成对地产生或湮灭;当传输路径中的某一位置固定时,垂直于传播方向的畸变光场内的相位不连续点所在的位置随时间的变化是不确定的,但在传输条件一定的情况下,该位置处的相位不连续点数目的统计平均值是可以确定的。     

激光大气传输相位不连续点的时空演化特征的数值计算

 利用激光大气传输4维程序对激光大气传输相位不连续点的时空演化特征进行了数值计算。仿真计算了相位不连续点随光波传输的产生和湮灭过程,以及某一固定传输位置处,畸变光场内的相位不连续点随时间的变化情况。计算结果表明,相位不连续点是随着波前运动的,并且可以成对地产生或湮灭;当传输路径中的某一位置固定时,垂直于传播方向的畸变光场内的相位不连续点所在的位置随时间的变化是不确定的,但在传输条件一定的情况下,该位置处的相位不连续点数目的统计平均值是可以确定的。     

Relay propagation of partially coherent flattened Gaussian beam in turbulent atmosphere

Relay propagation of partially coherent flattened Gaussian–Schell beam in turbulent atmosphere has been studied. The analytical expresses of average intensity distribution at target are derived. The effects of spatial correlation length of initial and relay beam on the average intensity are analyzed in details. Study shows that the effects of the variation of spatial correlation length of relay beam are much larger than that of initial beam. The effects of spatial correlation length on relay propagation become smaller and smaller with the increase of structure constant. When the spatial correlation length is large and turbulence is strong, the effects of the variation of spatial correlation length on relay propagation are so small that can be neglected.     

Beam criteria for propagation of electromagnetic beams in the turbulent atmosphere

A recently introduced criterion [O. Korotkova, E. Wolf, Opt. Lett. 32 (2007) 2137] for testing whether a scalar beam preserves its beam-like shape after it propagates some distance through the turbulent atmosphere is generalized to the case of electromagnetic beam propagation. The generalized criterion applies to monochromatic as well as to stochastic electromagnetic beams. The analysis is illustrated by examples.