Intensity fluctuations of partially coherent laser beam arrays in?weak atmospheric turbulence

The intensity fluctuation of a partially coherent laser beam array is examined. For this purpose, the on-axis scintillation index at the receiver plane is analytically formulated via the extended Huygens–Fresnel diffraction integral in conditions of weak atmospheric turbulence. The effects of the propagation length, number of beamlets, radial distance, source size, wavelength of operation and coherence level on the scintillation index are investigated for a horizontal propagation path. It is found that, regardless of the number of beamlets, the scintillation index always rises with an increasing propagation length. If laser beam arrays become less coherent, the scintillation index begins to fall with growing source sizes. Given the same level of partial coherence, slightly less scintillations will occur when the radial distance of the beamlets from the origin is increased. At partial coherence levels, lower scintillations are observed for larger numbers of beamlets. Both for fully and partially coherent laser beam arrays, scintillations will drop on increasing wavelengths.     

Bit error rate analysis of MISO FSO systems

Abstract

Multiple-input single-output (MISO) systems are employed in free space optical (FSO) links to mitigate the degrading effects of atmospheric turbulence. In this paper, we consider a MISO FSO system with practical transmitter and receiver configuration that consists of radial laser array with Gaussian beams and a Gaussian receiver aperture function. We have employed our previously derived formulation of the power scintillation in which Huygens–Fresnel principle was employed. Therefore, we choose system parameters within the range of validity of the wave structure functions. Using the on-off keying modulation and the log-normal probability distribution function, we quantify the average bit error rate (〈BER〉) of laser array beams in weak turbulence. It is observed that the radial array beams at the transmitter are more advantageous than the single Gaussian beam. However, increasing the number of array beamlets to more than three seems to have negligible effects on 〈BER〉 . It is further observed that 〈BER〉 decreases when the source size, the ring radius and the receiver aperture radius increase.     

Scintillations of laser array beams

The scintillation index of a laser array beam is analytically derived and numerically evaluated for weak turbulence conditions. On-axis as well as off-axis positions of the receiver plane are considered. Our graphical illustrations prove that at longer propagation ranges and at some midrange radial displacement parameters, laser array beams exhibit less scintillations, when compared to a fundamental Gaussian beam. However, when compared among themselves, laser array beams tend to have reduced scintillations with rising numbers of beamlets, longer propagation wavelengths, at midrange radial displacement parameters, at intermediate Gaussian source sizes, at bigger inner scales and smaller outer scales of turbulence. However, in this improvement, the number of beamlets does not seem to have a major role. PACS 42.25.Dd; 42.25.Ja; 42.25.Kb     

Scintillation optimization of radial Gaussian beam array propagating through Kolmogorov turbulence

The analytical expression for scintillation index of radial Gaussian beam array with coherent combination based on Kolmogorov power-law spectrum in the horizontal path is derived. The influences of the beam number and ring radius on the scintillation index are studied. The results show that the scintillation index can be reduced by increasing beam number and an optimum ring radius is proved to exist. Further, the optimum ring radius greatly depends on the source size and exists only in a certain range of the source size determined by the propagating distance. Additionally, the scintillation index distributions at the receiver greatly depend on the source size.     

Spectral shifts of partially coherent radial array beams passing through ABCD optical systems

The expressions for the spectral intensity of partially coherent Gaussian Schell-model (GSM) radial array beams for both the correlated and uncorrelated superpositions passing through ABCD optical systems have been derived by using the extended Huygens-Fresnel diffraction integral. The effects of the normalized radius R, the number of beamlets N, the spatial coherent parameter of array beamlets β and the optical system parameters on the on-axis and off-axis relative spectral shifts for the two types of superposition have been discussed in detail. The results show that for the correlated superposition, the on-axis spectral intensity in free space and the off-axis spectral intensity on the geometrical focal plane depends on the source spectral density S⁰(ω), the spatial coherent parameter of array beamlets β, the generalized Fresnel number of the system F, the normalized radius R and the number of beamlets N, whereas the spectral intensity for the uncorrelated superposition is independent of the number of beamlets N. Furthermore, as for on the actual focal plane, the off-axis spectral intensity for the two types of superposition is closely related to N.     

Propagation of phase-locked truncated Gaussian beam array in turbulent atmosphere

Truncation manipulation is a simple but effective way to improve the intensity distribution properties of the phase-locked Gaussian beam array at the receiving plane. In this paper, the analytical expression for the propagation of the phase-locked truncated Gaussian beam array in a turbulent atmosphere is obtained based on the extended Huygens--Fresnel principle. Power in the diffraction-limited bucket is introduced as the beam quality factor to evaluate the influence of different truncation parameters. The dependence of optimal truncation ratio on the number of beamlets, the intensity of turbulence, propagation distance and laser wavelength is calculated and discussed. It is revealed that the optimal truncation ratio is larger for the laser array that contains more lasers, and the optimal truncation ratio will shift to a larger value with an increase in propagation distance and decrease in intensity of atmosphere turbulence. The optimal truncation ratio is independent of laser wavelength.     

子束排列方式对固体激光器光束合成特性的影响

 建立了固体激光器矩形光斑光束合成的理论模型,对诺·格公司给出的2束、4束、8束合成实验结果进行分析,并通过数值模拟,得到了不同子束排列方式下合成光斑的远场图形。通过仿真模拟可以得出:排列结构影响远场光斑的形状;子束间距决定了合成光束远场光斑的衍射旁瓣的大小和多少。采用环围能量进行分析,研究了远场光斑中主瓣能量随激光阵列占空比的变化。结果显示,远场光束环围功率随子束间距的增大而逐渐下降,而且参与相干合成子束越多,下降越大。     

Formation of optical vortices using coherent laser beam arrays

We present a proposal to generate an optical vortex beam by using the coherent-superposition of multi-beams in a radially symmetric configuration. In terms of the generalized Huygens-Fresnel diffraction integral, we have derived the general propagation expression for the coherent radial arrays of laser beams. Using the derived formulae, we have analyzed the effects of the beamlet number N, the separation distance ρ of the beamlets and the topological charge m on the intensity and phase distributions of the resultant beams. Our simulation results show that optical vortices could be efficiently generated due to the coherent-superposition effect of all beamlets, during the propagation process of the coherent radial array of laser beams with the initial well-organized phase distributions through the free space. In the focusing system, the resultant beam near the focusing plane has the strong rotational effect with the phase helicity.     

部分相干矩形阵列光束在自由空间中的谱移

根据广义惠更斯-菲涅尔衍射积分方法,推导出按矩形方式排布的部分相干高斯-谢尔模型阵列光束的光谱传输公式,定量分析了部分相干高斯-谢尔模型阵列光束在自由空间传输时轴上和离轴相对谱移的变化,并详细讨论了阵列参数和子光束的空间相干参数对相对谱移的影响。结果表明,部分相干高斯-谢尔模型阵列光束通过自由空间传输后,其相对谱移与光源处的谱密度、子光束的空间相干参数以及子光束数目和子光束间距等阵列参数有关,其中,阵列参数对相对谱移的影响非常显著。     

基于束间动态干涉的快速匀滑新方法

针对高功率激光装置中靶面辐照均匀性的高要求,提出了一种利用束间动态干涉改善辐照均匀性的快速匀滑方法.基本原理是利用共轭相位板阵列对存在一定波长差的多束激光附加相位调制,从而使各子束在远场两两相干叠加以产生动态的干涉图样,进而引起焦斑内部散斑的动态扫动,在ps时间内抹平不均匀性.以典型惯性约束聚变装置中的激光集束为例,通过建立基于束间动态干涉的快速匀滑物理模型,定量分析了相位板类型、相位调制幅度和束间波长差等因素对焦斑动态干涉图样的影响及规律,进而对其束匀滑特性进行了讨论.结果表明,基于束间动态干涉的快速匀滑方法可以有效地实现多方向、多维度的焦斑内部散斑快速扫动,且通过与传统束匀滑技术的联用,可以在更短的时间内达到更好的焦斑均匀性.     

Fabrication of grating structures by simultaneous multi-spot fs laser writing

Two-photon polymerisation is an established technique for the fabrication of three-dimensional microstructures. To date structures have mostly been developed using single beam serial writing. A novel approach to simultaneous multi-spot two-photon polymerisation, that uses a SiO₂ on glass Fraunhofer diffractive optical element to generate an array of beamlets, is described. A Ti:sapphire laser, with wavelength 790 nm, 80 MHz repetition rate, 100 fs pulse duration and an average power of 25 mW, was used to initiate two-photon polymerisation. The DOE, in combination with a high power microscope objective, efficiently transforms the laser beam into a linear array of four spots of equal intensity. The fabrication of a periodic transmission grating, using parallel processing with these four spots, is shown. The grating was written in a Zr-loaded resin prepared on a glass substrate using dip coating deposition of a Zr/PMMA hybrid prepared by the sol-gel method. The operation of the diffractive element and the performance of the diffraction grating are also discussed.     

径向阵列非傍轴椭圆高斯光束的相干和非相干合成

 从瑞利-索末菲衍射积分公式出发,推导出径向阵列非傍轴离轴椭圆高斯光束相干合成和非相干合成在自由空间中的解析传输公式,给出其远场分布和傍轴表示式。研究表明:合成光束的光强分布与f参数、径向阵列半径、光束数、传输距离和合成方式有关;N束光相干合成和非相干合成在远场的光强最大值分别为单光束在远场最大值的N₂和N倍。     

Optical Emission Studies of Molybdenum Plasma Produced by an Nd:yag Laser

We study the optical emission characteristics of a molybdenum (Mo) plasma produced at the surface of a target material in air at atmospheric pressure using the fundamental (1,064 nm) wavelength of an Nd: YAG laser. We estimate the temperature using the Boltzmann plot method, whereas the number density is calculated using the Stark broadening profile of the neutral iron (Fe I) transition line at 538.34 nm. We investigate variations in the temperature and number density at different laser irradiance as well as the distance from the target surface along the axial direction of plasma propagation using the spectroscopic technique. We observe that the temperature and number density increase with increase in the laser irradiance.     

Study on an optical system with coherent laser array source and phase optimization in turbulent atmosphere

Model of an optical system with coherent laser array source and the piston phase optimized by the stochastic parallel gradient descent algorithm is established. With this model, theory of beam propagation through the optical system in turbulent atmosphere is analyzed, and the analytical formulas of the beam average intensity along the propagation path are derived. Strehl ratio of the received beam induced by intensity disorderly distribution and power efficiency of the received beam are introduced to evaluate performance of the optical system. Under the H-V 5/7 atmospheric turbulent model, performance of an optical system with determinate parameters was calculated, and the influences of the propagation distance and the laser wavelength were numerically analyzed, respectively.     

大气环境下用于瞄准的激光波束传播特性研究

针对激光瞄准过程中的光斑偏移现象,结合修正的Von Karman谱的折射指数起伏和Hufnagel-Vally湍流模型上的近似积分,研究了高斯脉冲光束在湍流大气中远场水平以及斜程传播时的脉冲展宽和闪烁指数,分析了强湍流条件下1.06 μm准单色光斜程大气传输光强分布与脉冲展宽的关系,对数值结果进行比较,发现远距离传输中波长和距离对波束瞄准偏差影响较大.从理论和实验上对大气环境下激光光斑瞄准偏差进行了分析研究,研究结果表明:将激光光斑全场数据及分析结果应用到现有偏差补偿算法中,可以实现激光瞄准偏差的有效补偿,在大气能见度1 km～3 km范围内,激光瞄准偏差测量误差σA≤0.1 mrad.     

A novel wavelength switchable fiber laser source and its application in photonics beamforming for optically controlled phased array antenna

A novel wavelength-switchable fiber laser source that can individually scan 14 required wavelengths within 40 ms, and its application in photonics true time delay beamforming is presented in this paper. The laser source is constructed using a unidirectional fiber ring cavity, a tunable fiber Fabry–Perot filter and two cascaded sampled fiber Bragg gratings with the wavelength spacing of 1.6 nm. A five-channel true-time-delay system using the proposed fiber laser source cooperating with a single-mode fiber and four chirped-grating-based is constructed and demonstrated for the application of phased array antenna beam steering. Continuous beam steering at the microwave frequency up to 20 GHz has been achieved. PACS 42.55.Wd; 42.81.Wg; 84.40.Ba     

高功率光纤中传输光模式与其波长相关性研究

针对高功率光纤激光模式诊断和光谱诊断的需求,研究了光纤中传输模式的波长相关性,数值计算了光纤中各个模式的模场分布随波长的变化曲线及相应的光束质量,采用双傅里叶变换F~2法实际测量了光纤模式成分与波长的关系曲线.结果表明,光纤中各个模式的模场分布随波长变化,波长越长,模场面积越大;模式的光束质量随波长变化不大,但在截止频率附近明显变差;光纤中各个模式的功率占比与波长有关.     

基于简单透镜列阵的可调焦激光均匀辐照光学系统研究

本文对基于简单透镜列阵的大口径激光均匀辐照光学系统的调焦能力进行了研究, 结果表明, 改变透镜列阵与靶镜之间的距离即可方便地改变靶面上光斑的大小. 文中详细分析了相关参数对调焦能力的影响, 并在此基础上设计出一个实用的光学系统. 用数值方法模拟了激光束通过光学系统后的传输, 发现尺寸不同的靶面光斑具有基本一致的强度结构特征. 定量地分析了光斑内部散斑间隔、调制对比度、顶部不均匀度及能量集中度等描述光斑均匀辐照质量的指标, 并研究了它们随靶面离焦量的变化关系.     

部分相干啁啾光学相干涡旋晶格在生物组织湍流中的平均光强与光谱位移

本文研究了部分相干啁啾光学相干涡旋晶格在生物组织湍流中的平均光强和光谱位移,详细探讨了单色光场中的光学晶格结构和多色光场中的光谱快速跃迁特性.研究表明:在生物组织湍流中,光束从具有涡旋核的环形结构演变为具有暗区的周期阵列结构,最后呈类高斯图样.尽管晶格常数能调制光束结构,但它不影响光束在生物组织湍流中的光谱跃迁行为.光...     

Photonics True-Time-Delay Unit for Phased-Array Antenna Using Multiwavelength Fiber Laser Based on a Sagnac Interferemetric Filter

A photonics true-time-delay system for phased array beamforming using a chirped grating-based time-delay element and a novel multiwavelength erbium-doped fiber ring laser source employing a Sagnac filtering mirror is proposed. The Sagnac filtering mirror consists of a polarization maintaining directional coupler and two pieces of polarization maintaining fibers. The lasing wavelength and number are determined by properly adjusting the polarization controller within the unidirectional ring cavity and are very stable. A chirped-grating-based true-time-delay system using the proposed laser source is constructed and demonstrated experimentally.