大气信道间距与光束数目对光强起伏的影响

在Kolmogorov理论的基础上，推广了光束在接收面上相关函数的物理含义，分析了多光束在接收面上的相关性：并在此基础上形成多光束光强起伏方差的解析表达式。     

水平均匀大气中多束光在接收面上的相关性及其对光强起伏的影响

在科尔莫戈罗夫理论的基础上，推广了光束在接收面上相关函数的物理含义。分析了多光束在接收面上的相关性。并在此基础上形成多光束光强起伏方差的解析表达式。分析结果表明，随着信道间距的增加，信道相关性下降。到达接收面的光强起伏方差降低；当信道完全重合，即相关系数变为1时，叠加后的光强起伏方差没有明显降低。与单光束时没有区别；在允许范围内增加光束数目可降低光强起伏。     

Scintillation characterization for multiple incoherent uplink Gaussian beams

By means of numerical simulations, we analyze the scintillation characterization for multiple incoherent uplink Gaussian beams under weak fluctuations cases. Because truly independent beams are difficult to create, we present a more general but approximate model for the multiple of beams traveling through partially correlated paths. This model compares with wave-optics simulations and highlights the reduced correlation coefficient as the beam separation is increased. The scintillation index of three and six incoherent uplink Gaussian beams is also induced. The result shows that the scintillation index decreases with the increase of beams amount and beam separation. When the beams amount and strength of atmospheric turbulence are fixed, the reduction of scintillation index is affected by the ratio of beams separation and the Fried length. The corresponding physical mechanisms for the results are discussed.     

Scintillation index of a stochastic electromagnetic beam propagating in random media

We study the behavior of the scintillation index (the normalized variance of fluctuating intensity) of a wide-sense statistically stationary, quasi-monochromatic, electromagnetic beam propagating in a homogeneous isotropic medium. In particular, we show that in the case when the beam is treated electromagnetically apart from the correlation properties of the medium in which the beam travels not only its degree of coherence but also its degree of polarization in the source plane can affect the values of the scintillation index along the propagation path. We find that, generally, beams generated by unpolarized sources have reduced level of scintillation, compared with beams generated by fully polarized sources, provided they have the same intensity distribution and the same state of coherence in the source plane. An example illustrating the theory is considered which examines how the scintillation index of an electromagnetic Gaussian Schell-model beam propagates in the turbulent atmosphere. These results may find applications in optical communications through random media and in remote sensing.     

Scintillation behavior of cos, cosh and annular Gaussian beams in non-Kolmogorov turbulence

For a non-Kolmogorov spectrum, scintillation aspects of cos, cosh and annular Gaussian beams are investigated. The appropriate mathematical formulation is developed, the derived scintillation index is evaluated and its variation is plotted in graphs. We find that, when the values of the power coefficient of the spectrum are just above 3, low scintillation is encountered, then as the power coefficient is increased, rises will occur with a peak being reached around 3.21. From there onwards, scintillation will drop, as the power coefficient approaches a value of 5. For extreme off-axis positions, there will be slight increases in scintillation at high power coefficient values. At points near on-axis and when the beams have small width sizes, cosh Gaussian beam having a bigger displacement parameter will offer the lowest scintillation. At large width sizes, this advantage will switch to the side of the cos Gaussian beam. In this study, the variation of scintillation with other sources and propagation parameters is examined as well.     

部分相干光在大气湍流中传输的闪烁指数

实验测量了不同空间相干度的部分相干光在实际大气湍流中传输的闪烁指数。结果表明:随着入射光空间相干度的降低,闪烁随光传输距离增长而增加的趋势变得缓慢,甚至出现减小的情况。此外,与完全相干光的闪烁指数随着径向距离的增加而增加不同,部分相干光的闪烁指数沿着光斑径向距离的增加不一定增加,而有可能出现降低。相干度越低,该效应越明显。     

Annular, cosh and cos Gaussian beams in strong turbulence

For the strong atmospheric turbulence regime, the asymptotic on-axis scintillation behavior of annular, cosh and cos Gaussian beams is theoretically derived and illustrated with numerical examples. It is observed from the plots that annular Gaussian beams exhibit more scintillations than a Gaussian beam, regardless of the amplitude coefficient and source size settings. For small source sizes, cosh Gaussian beams seem to have an advantage over Gaussian beams in terms of reduced scintillation, but for large source sizes a switchover occurs where cos Gaussian beams assume the advantage. Analysis of the effect of inner scale value shows that scintillations increases for all beams as the inner scale increases.     

Multibeam scintillation cumulative distribution function

The gamma-gamma probability density function is commonly used to model the scintillation of a single laser beam propagating through atmospheric turbulence. One method proposed to reduce scintillation at the receiver plane involves the use of multiple channels propagating through independent paths, resulting in a sum of independent gamma-gamma random variables. Recently, a novel approach for an accurate, closed-form approximation for the sum of independent, identically distributed gamma-gamma random variables was introduced by Chatzidiamantis et al. [GLOBECOM 2009--2009 IEEE Global Telecommunications Conference (2009)]. Using this approximation, we present the first analytic model for the distribution of irradiance due to propagating multiple independent beams. This model compares favorably to wave-optics simulations.     

Experimental study on off-axis scattering of flat top partially coherent laser beams when propagating under water in the presence of moving scatterers

Off-axis underwater scattering of spatially partially coherent Multi-Gaussian Schell-Model (MGSM) beams are compared with fully coherent Gaussian beams in both a stationary setting and in the presence of mechanically agitated scatterers in underwater environments. The analysis is carried out by comparing the mean intensities of scattered light, the normalized variance, and the scintillation index in various scenarios. Results indicate that fully coherent beams have increased off-axis scattered light variations in the presence of moving scatterers as compared with a spatially partially coherent MGSM beam. Additionally, in a stationary environment the coherent beam has less overall variations as expected due to the nature of constructing partially coherent MGSM beams. Metrics of normalized variance, scintillation index, and overall average intensity are discussed in the context of potential beam localization, reduced scattering, and off-axis detection.     

多束部分相干光抑制光强闪烁效应的仿真实验研究

为了有效抑制激光大气传输过程中引起的闪烁效应,本文围绕照明光束相干性与闪烁指数关系展开研究。首先,明确闪烁效应产生机理,建立与光束相干性相关的数学模型。然后,采用偏振分光元件将出射激光分为4束,并破坏其相干性。在此基础上,以随机相位屏为核心元件构建大气湍流仿真实验装置,评估不同光束相干性条件下的远场光斑闪烁指数。实验结果表明,4束光照明的光斑闪烁指数比单光束照明降低了75%。理论分析及实验结果均证明了多束部分相干光在抑制光强闪烁效应方面的有效性。     

Scintillation index of the Gaussian beams propagated through the paths with strong turbulence

Theoretical and experimental studies of the local statistical characteristics of Gaussian beams propagated through the paths with strong turbulence were carried out and their results are presented. It is ascertained that the applicability of the scintillation index meanings are substantially limited for the assessment of the performance quality of the optical data transmitting channels. On the basis of the experimental data got under different propagation conditions the peculiarities of the localized intensity distributions and those of the scintillation index are revealed.     

Asymptotic analysis of the flux fluctuations averaging and finite-size source scintillations in random media

A complete set of asymptotes for the flux fluctuation variance or finite-size source scintillation index is obtained, starting from the path integral representation for a field in a random medium. A new approach to asymptotic analysis of related problems is introduced based on the concept of main/additional coherence channels expansion. This new technique was applied to asymptotic analysis of the quasi-plane wave variance.     

Long-distance propagation of pseudo-partially coherent Gaussian Schell-model beams in atmospheric turbulence

Propagation properties of spatially pseudo-partially coherent Gaussian Schell-model beams through the atmo- spheric turbulence over a long-distance uplink path are studied by numerical simulation. A linear coordination trans-formation is introduced to overcome the window effect and the loss-of-resolution problem. The beam spreading, beam wandering, and intensity scintillation as functions of turbulence strength, source correlation length, and change frequency of random phase that models the partial coherence of the source are analyzed. It is found that the beam spreading and the intensity scintillation of the partially coherent beam are less affected by the turbulence than those of the coherent one, but it suffers from a more severe diffractive effect, and the change frequency of random phase has no evident influence on it. The beam wandering is insensitive to the variation of source correlation length, and decreases firstly then goes to a fixed value as the change frequency increases.     

Asymptotic analysis of finite-beam scintillations in a turbulent medium

Asymptotic analysis of on-axis intensity fluctuation variance of a finite-sized light beam is performed starting from the functional integral representation for the field in a random medium. Collimated, diverging and converging beams with different diffraction properties are considered. A complete set of asymptotes is obtained using the main and additional coherence channels approach to the fourth moment of field analyses. We study the conditions of weak and strong fluctuation regimes for all these types of beams and obtain relatively simple formulae for on-axis intensity variance, which are valid for the case of stratified turbulence. It is shown that scintillations in the vicinity of the beam focus are governed by double-scattering processes for weak scintillations and double scattering from coherence channels for strong fluctuations.     

Asymptotic analysis of the flux fluctuations averaging and finite-size source scintillations in random media

Abstract

A complete set of asymptotes for the flux fluctuation variance or finite-size source scintillation index is obtained, starting from the path integral representation for a field in a random medium. A new approach to asymptotic analysis of related problems is introduced based on the concept of main/additional coherence channels expansion. This new technique was applied to asymptotic analysis of the quasi-plane wave variance.     

Realization of quantum correlation transfer between twin beams by conditional preparation technique

A conditional quantum correlation transfer is demonstrated experimentally for continuous variables by employing two pairs of twin-beams states. In present paper, the quantum correlation of twin beams is indicated by loss coefficient or “gemellity”, which is the remaining noise on the intensity difference normalized to the shot noise level. The quantum correlation between two initial idler beams with loss coefficient of 0.4 was conditionally transferred from two pairs of initially independent twin beams with loss coefficient of 0.2. A theory of conditional quantum correlation transfer and comparison between experimental results and theoretical prediction are also presented. The experimental results agree with the theory well.     

Shack-Hartmann波前传感器用于闪烁和相位起伏效应的同时测量

将每一个子孔径及相应的CCD面元作为一个光强探测系统,可以将Shack-Hartmann波前传感器用于湍流大气闪烁效应的测量.分析了该测量方法的基本原理,并结合其波前探测的功能.在近地面水平1km的湍流大气中,同时进行了闪烁和相位起伏的实验研究.将闪烁测量得到的Cn2与大口径闪烁仪测量的结果进行对比,发现两者的相关系数达0.838,验证了Shack-Hartmann波前传感器用于闪烁效应测量的可靠性.对闪烁和相位起伏效应得到的Cn2的日变化进行了对比.结果表明,两者在变化趋势上具有较好的一致性;采用双对数坐标对两种结果进行相关性分析,发现两者的相关系数达0.798.这表明将Shack-Hartmann波前传感器用于闪烁和相位起伏效应的同时测量是可行的,拓展了该传感器的使用功能.     

特殊关联结构光束的大气传输研究进展

近年来,光场调控逐渐成为光学领域的热点研究课题,光场相干性调控可以引发许多新颖物理效应。其中,通过相干性调控得到的特殊关联结构光束不仅展现出奇特的传输特性,而且可以有效地降低大气湍流引起的光强退化、光束漂移、光强闪烁和退偏振等负面效应。因此,特殊关联结构光束在自由空间光通信领域具有重要的应用前景。本文回顾了特殊关联结构光束的构建基础理论和大气传输研究方法及其发展历程,举例展示近些年典型特殊关联结构光束的大气传输研究成果。     

Experimental investigation on the scintillation index of vortex beams propagating in simulated atmospheric turbulence

The scintillation index of vortex beam in simulated atmospheric turbulence is experimentally investigated. The fluctuation of the intensity can be effectively reduced by vortex beams. In particular, the reduction of scintillation is more pronounced for vortex beams with larger topological charge.     

Characteristics of scintillations and bit error rate of partially coherent rectangular array beams in turbulence

According to the paraxial form of the extended Huygens-Fresnel principle, the analytical formulas of the on-axis average irradiance and the on-axis scintillation index for a rectangular array Gaussian Schell-model (RAGSM) beams in atmospheric turbulence have been derived. The on-axis bit error rate has been analyzed quantitatively. Their effects of the turbulence intensity, the initial correlation length, and the array parameters including the beamlet number (M and N) and the array separation distance (x₀ and y₀) have been discussed. The results show that the correlated and uncorrelated superposition RAGSM beams exhibit the different on-axis intensity distribution, the similar variation of the on-axis scintillation and the bit error rate. At the nearer propagation distance the on-axis scintillation rises against propagation distance with the increasing beamlet number and the decreasing array separation distance, whereas the situation is reversed at the farther propagation distance. The effects of array parameters on the bit error rate are similar to that on the scintillation. For a given propagation distance the scintillation index increases with the stronger coherence and the larger waist width of the array beam.