径向部分相干光束在各向异性非Kolmogorov湍流中的传输

具有中心对称相干度分布的非均匀部分相干光,即径向部分相干光束(RPCB),可以有效降低大气湍流引起的光束闪烁,改善接收质量。应用波动光学仿真方法,比较研究了相干高斯光束、高斯谢尔模光束和具有凸型高斯型、超高斯型相干度分布的径向部分相干光束在各向异性的非Kolmogorov湍流中的传输特性,从远场光强分布和孔径平均闪烁指数等方面分析了湍流的各向异性参数和非Kolmogorov功率谱指数对远场光束质量的影响。仿真结果显示,光束的接收质量随功率谱指数的增大而持续劣化;同时,各向异性湍流会导致远场光斑呈椭圆形分布,因而在接收端使用等面积的椭圆接收孔径替代圆形孔径,可以显著降低接收机的孔径平均闪烁指数。总体而言,径向部分相干光束在各向异性非Kolmogorov湍流中,特别是在接收孔径较小的情况下,具有优于完全相干光和高斯谢尔模光束的传输性质。     

湍流对离轴列阵高斯光束相干与非相干合成的影响

研究了湍流对离轴列阵高斯光束相干与非相干合成的影响.推导出了相干合成光束的传输方程.采用二阶矩束宽、桶中功率和参数β作为光束质量评价参数比较了离轴列阵高斯光束通过湍流大气的相干与非相干合成,并对主要结果给予了合理的物理解释.研究表明：一方面,不论是相干合成还是非相干合成,湍流都使得合成光束扩展、峰值光强下降,并且子光束数越多,合成光束受湍流影响就越小.另一方面,非相干合成光束较相干合成光束受到湍流的影响要小. 关键词： 相干与非相干合成 湍流大气 离轴列阵高斯光束     

大气湍流尺度对部分相干光传输特性的影响

本文在考虑湍流内外尺度的情况下,对部分相干高斯谢尔模型光束在大气湍流中的传输特性进行了研究.主要采用考虑湍流内外尺度的修正Von Karmon谱模型,推导了部分相干光在大气湍流中的平均光强分布、光束扩展均方根束宽和漂移方差的解析式.对比分析了不同湍流强度情况下,湍流内外尺度对部分相干光在大气湍流中水平和斜程路径上传输特性的影响.结果表明:相同条件下,光束在大气湍流中传输时,沿斜程传输时的抗湍流能力强于水平传输;相比于大气湍流内尺度,大气湍流外尺度对光束漂移影响较大,外尺度对光束扩展与光强分布的影响较小,当湍流外尺度增大时,漂移现象会越来越严重;相比于大气湍流外尺度,湍流内尺度对光束扩展与光强分布的影响较大,当内尺度减小时,光束扩展现象越来越严重,光强分布也更分散,内尺度对漂移几乎无影响.     

大气湍流中部分相干聚焦涡旋光束的传输特性

基于广义惠更斯-菲涅耳原理和相位结构函数的平方近似,研究了部分相干高斯-谢尔模型涡旋光束被聚焦后在大气湍流中的传输特性,得到了焦平面上光强解析表达式.利用该表达式,详细研究了该类光束在大气湍流中传输焦平面上的光强分布特性.结果表明：在大气湍流中,随着传输距离的增加,涡旋光束的奇异性逐渐降低.对于拓扑荷大的以及空间相干长度较长的涡旋光束,光束奇异性的保持相对要好.在一定的焦距长度和湍流大气条件下,我们可以通过调整光源的拓扑荷和相干长度控制焦面光强分布和焦斑大小.另外,有一定拓扑荷的涡旋光束可以在一定程度上降低大气湍流对传输光束焦面光强分布的影响.     

非均匀部分相干光束在自由空间中的传输

本文介绍了非均匀部分相干光束的概念, 并用数值模拟的方法详细研究了其在自由空间传输后的变化. 研究结果表明, 经过自由空间传输后非均匀部分相干光束会发生不同于传统相干模型光束的显著变化. 这种变化和光束传输距离、光源空间相干度分布、光源光强分布密切相关. 经过传输后, 源平面自相干附近点的空间相干度发生突变, 在短距离传输过程中源平面高相干区域的空间相干度会降低, 接收面各点的空间相干曲线不再相同, 随着传输距离增加, 非均匀空间相干度会逐渐趋于均匀.     

球差光束在大气湍流中传输特性的实验研究

采用空间光调制器产生球差光束,并利用旋转随机相位板模拟大气湍流,实验上研究了球差光束在大气湍流中的传输特性.研究表明:在自由空间传输时,正、负球差光束光强分布均为环形多层分布,但经过大气湍流传输后光强均会变为类高斯分布.正球差导致光束扩展,负球差会导致光束聚焦.正球差越大光束能量集中度越差.负球差对光束能量集中度的影响是非单调的.特别地,大气湍流会削弱球差效应对光束扩展的影响.     

斜程大气中聚焦J0相关部分相干光束的传输特性

采用部分相干光交叉谱密度理论,给出了适用于任意大气湍流条件的斜程湍流大气传输J0相关部分相干光束在接收面内的长期平均光强分布、光束长期扩展和质量因子的解析表达式,分析了天顶角、传输距离、光源相干性以及湍流外尺度对接收面光强分布特性和光束扩展的影响.研究结果表明:在天顶角和传输距离一定的条件下,通过选择合适的光源相干性可控制焦面光强为平顶分布或中心光强为最大;在传输距离给定的条件下,随着天顶角或大气湍流外尺度的增加,焦斑光强分布均由中央凹陷分布逐渐变为高斯分布.焦面附近光强的中央凹陷比焦面的中央凹陷浅.J0相关部分相干光束实际焦斑位置随天顶角、湍流外尺度的增加以及相干性减弱而移向发射端.     

部分相干涡旋光束在大气湍流中的远场传输特性

运用广义惠更斯-菲涅耳原理,详细研究了部分相干涡旋光束在湍流介质中的远场传输规律.研究表明,部分相干涡旋光束的光谱相干度及光强分布与光束的拓扑电荷数、空间相对相干长度及湍流介质的折射率结构常数等因素有关.在湍流介质中,光谱相干度存在相位奇点,并且随着空间相对相干长度的增大,相干涡旋逐渐演化为强度涡旋,而湍流介质的强弱对部分相干涡旋光束的影响则相反,随着湍流介质的折射率常数的增大,强度涡旋逐渐演化为相干涡旋.     

斜程大气中聚焦J0相关部分相干光束的传输特性

采用部分相干光交叉谱密度理论,给出了适用于任意大气湍流条件的斜程湍流大气传输J₀相关部分相干光束在接收面内的长期平均光强分布、光束长期扩展和质量因子的解析表达式,分析了天顶角、传输距离、光源相干性以及湍流外尺度对接收面光强分布特性和光束扩展的影响.研究结果表明：在天顶角和传输距离一定的条件下,通过选择合适的光源相干性可控制焦面光强为平顶分布或中心光强为最大;在传输距离给定的条件下,随着天顶角或大气湍流外尺度的增加,焦斑光强分布均由中央凹陷分布逐渐变为高斯分布.焦面附近光强的中央凹陷比焦面的中央凹陷浅.J₀相关部分相干光束实际焦斑位置随天顶角、湍流外尺度的增加以及相干性减弱而移向发射端. 关键词： 部分相干束 大气湍流 0相关')" href="#">J₀相关 斜程传输     

湍流大气传输高斯谢尔光束的到达角起伏

研究了在弱大气湍流起伏环境下以窄带宽高斯谢尔光束为激光光源的大气通信问题,分析了大气湍流强度和光源空间相干度对通信光束到达角起伏的影响.采用窄带宽光场的交叉谱密度函数代替光场互相干函数的近似方法和采用包含大气湍流内外尺度的简化折射率谱密度函数,得出了湍流大气中传输高斯谢尔光束的波结构函数(WSF) 和到达角起伏方差解析近似关系.分析表明,光源的空间相干度和传输光束的湍流扩展是影响高斯谢尔光束的相位起伏结构函数和传输光束到达角起伏的重要因素.     

Propagation properties of radial partially coherent flat-topped array beams in a turbulent atmosphere

With the help of the tensor method, the analytical expression for the cross-spectral density of the radial partially coherent flat-topped array (RPCFTA) beams propagating in a turbulent atmosphere is derived, where the correlated superposition and uncorrelated superposition are considered. The average intensity, the spatial coherence properties and power in bucket (PIB) of these kinds of beams are investigated in detail. It is shown by numerical results and analysis that the average intensity and the spatial coherence of the correlated or uncorrelated RPCFTA beams will change on propagation and this change is dependent upon the correlation of the source's beamlets and atmospheric turbulence. In addition, the comparisons of the average intensity and the spatial coherence between the correlated and the uncorrelated RPCFTA beams propagating both in turbulent atmosphere and in free space are also given, and some interesting results are obtained. The laser power of focus ability of the single PCFT beam is worse than that of the correlated RPCFTA beam and but better than that of the uncorrelated RPCFTA beam when propagation distance in turbulent atmosphere is far-field plane.     

Propagation of coherently combined flattened laser beam array in turbulent atmosphere

The analytical expression for the propagation of a flattened laser beam array in a turbulent atmosphere is derived based on extended Huygens–Fresnel principle. The influence of beam order and turbulent atmosphere on beam quality is studied. It is revealed that the beam quality of a coherently combined laser beam array with higher order is better than its lower order counterpart when propagating in free-space, weak and medium turbulence (i.e. C_n²<10^?13 m^?2/3). The beam quality of higher order beam arrays degrades faster as the intensity of turbulence gets stronger. In the case of propagating in strong turbulence, the beam order has no influence on coherently combined beam quality.     

Propagation of partially coherent controllable dark hollow beams with various symmetries in turbulent atmosphere

Normalized intensity distribution, the complex degree of coherence and power in the bucket for partially coherent controllable dark hollow beams (DHBs) with various symmetries propagating in atmospheric turbulence are derived using tensor method and investigated in detail. Analytical results show that, after sufficient propagation distance, partially coherent DHBs with various symmetries eventually become circular Gaussian beam (without dark hollow) in turbulent atmosphere, which is different from its propagation properties in free space. The partially coherent DHBs return to a circular Gaussian beam rapidly for stronger turbulence, higher coherence, lower beam order, smaller p or smaller beam waist width. Another interesting observation is that the profile of the complex degree of coherence attains a similar profile to that of the average intensity of the related beam propagating in a turbulent atmosphere. Besides the laser power focusablity of DHBs are better than that of Gaussian beam propagating in turbulent atmosphere.     

不同波形脉冲激光的时域误差对相干合成的影响

相干合成技术是实现高功率、高亮度光纤激光系统的重要技术途径.然而, 脉冲激光阵列中常常存在时域误差,这将影响脉冲激光的相干合成效果. 建立了脉冲激光存在时域误差时的相干合成理论模型,并在不同波形(方波、三角波、正弦波) 的脉冲激光存在时域误差时,对相干合成光束在远场的脉冲波形、峰值功率、 光强分布和桶中功率(PIB)等特性进行了数值计算和对比分析.计算结果表明: 方波脉冲激光相干合成光束的脉冲波形受时域误差影响严重,光强分布和PIB随着时域误差 的增大发生线性变化;三角波脉冲激光相干合成光束的脉冲波形和峰值功率受时域误差 影响严重,光强分布和PIB在时域误差较大时随着时域误差的增大发生较为剧烈的变化; 正弦波脉冲激光相干合成光束具有较好的输出特性,在两路正弦波脉冲激光相干合成中, 将两脉冲之间的时延控制在脉冲持续时间的10%以内,就能取得良好的合成效果.     

Propagation of partially coherent partially phase-locked laser array in turbulent atmosphere

The mechanism for beam quality degradation in recently developed phase locking of high power solid state lasers, which is caused mainly by partially coherent property of element beam and partially phase locking of the laser array, is analyzed in detail. Analytical expression for propagation of partially coherent partially phase-locked laser array in turbulent atmosphere is obtained based on extended Huygens-Fresnel principle. The effect of coherence width, phase error and intensity of turbulence on the beam quality in the target-plane is studied in detail. The tolerance on phase error for laser array with different coherence property is analyzed. It is concluded that the laser array with better coherence is more sensitive to turbulence, and phase control can improve beam quality in the receiving plane only in the case when the element beam has good beam quality and propagates in weak turbulence.     

Propagation of partially coherent Bessel-Gaussian beams in turbulent atmosphere

The characteristics of partially coherent Bessel-Gaussian beams propagating in turbulent atmosphere are investigated. Based on the extended Huygens–Fresnel principle, the influence of topological charges and coherence of the source on the intensity and the degree of coherence in the received plane are considered. The influence of atmospheric turbulence on beam profile and coherence in the received plane is also analyzed. It is found that a Bessel-Gaussian shaped intensity distribution will eventually transform into a Gaussian distribution after propagating in turbulent atmosphere. Meanwhile, topological charges, coherence of the source and atmospheric turbulence will also influence the propagation characterizations of the beams.     

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.     

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。     

Partially coherent aberrated beam propagating in a turbulent atmosphere

Based on the extended Huygens-Fresnel principle, the propagation formulate for partially coherent aberrated beam in a turbulent atmosphere has been derived. Then the propagation of such beams in the turbulent atmosphere has been studied in great detail. It is found that beams with spherical aberration spread more rapidly than those without spherical aberration. It is also found that the beam spreads more rapidly for a stronger turbulence or a source with lower coherence. In addition, some explanation to those results is also given.     

扰动大气中部分相干光束的光谱特性

对扰动大气中传输的部分相干光束的光谱演化特性进行了研究。利用推广的惠更斯一菲涅耳原理．得到了扰动大气中部分相干光束的交叉光谱密度,据此分析了在大气扰动影响下部分相干光束的频移效应以及空间相干度的变化规律。结果表明：由于大气扰动的影响,在光束传输过程中,轴上光谱先是出现蓝移,蓝移量先增大后减小,传输足够远距离之后将出现红移,并且光束的相干性越差,就需要传播越远的距离才会发生红移;而光束的空间相干度随传输距离增大到一定程度之后开始减小,最终将趋于零。通过与自由空间中部分相干光的传输特性比较,发现当光束的传输距离比较小时．大气扰动效应对光谱特性的影响很小,只有在传输距离足够远时,大气扰动对光谱特性的影响才会明显地表现出来。