Propagation properties of partially coherent Hermite-Gaussian beams through non-Kolmogorov turbulence

The propagation properties of partially coherent Hermite-Gaussian beams through non-Kolmogorov atmospheric turbulence are studied. The effects of non-Kolmogorov turbulence and beam nonparaxiality on the average intensity evolution and the beam-width spreading are stressed. It is found that the evolution of the average intensity distribution and the beam-width spreading depends on the generalized exponent factor, namely, on the non-Kolmogorov turbulence strength for the paraxial case. For the non-paraxial case the effect of the turbulence is negiigibl% while the beam-width spreading becomes very large. The analytical results are illustrated numerically and interpreted physically.

Can two partially coherent cosh-Gaussian beams generate far fields with the same spectral degree of coherence?

Taking partially coherent cosh-Gaussian （ChG） beams as an example of more general partially coherent beams, we have studied the spectral degree of coherence of partially coherent ChG beams in the far field. It is shown that, unlike Gaussian Schell-model （GSM） beams, in the strict sense there do not exist two partially coherent ChG beams which can generate far fields with the same spectral degree of coherence. However, under certain conditions it is possible to find two partially coherent ChG beams with the same spectral degree of coherence in the far field.

Simulation of Influence of Partially Coherent Gaussian Laser Beam on Gradient Force Acting on Dielectric Nanoparticle inside Random Medium

The partially coherent beams propagating through random media have been used in the past to enhance effect of nonlinear optical interaction. Moreover, after propagation through a random （or turbulent） medium the coherent beam becomes a partially coherent one. In this research, the analytical formula for the average intensity of Gaussian beam propagating through random medium is derived and the influence of coherent partiality on optical gradient force acting on dielectric particle rounded by a random media is investigated.

The Wigner distribution functions of coherent and partially coherent Bessel-Gaussian beams

Based on the integral representation of the Bessel functions and the generating function of the Tricomi function, an analytical expression of the Wigner distribution function （WDF） for a coherent or partially coherent Bessel Gaussian beam is presented. The reduced two-dimensional WDFs are also demonstrated graphically, which reveals the dependence of the reduced WDFs on the beam parameters.

Coherence vortices of partially coherent beams in the far field

Based on the propagation law of cross-spectral density function, studied in this paper are the coherence vortices of partially coherent, quasi-monochromatic singular beams with Gaussian envelope and Schell-model correlator in the far field, where our main attention is paid to the evolution of far-field coherence vortices into intensity vortices of fully coherent beams. The results show that, although there are usually no zeros of intensity in partially coherent beams with Gaussian envelope and Schell-model correlator~ zeros of spectral degree of coherence exist. The coherence vortices of spectral degree of coherence depend on the relative coherence length, mode index and positions of pairs of points. If a point and mode index are kept fixed, the position of coherence vortices changes with the increase of the relative coherence length. For the low coherent case there is a circular phase dislocation. In the coherent limit coherence vortices become intensity vortices of fully coherent Laguerre-Gaussian beams.

Propagation of high-power partially coherent fibre laser beams in a real environment

The propagation performance of high-power partially coherent fibre laser beams in a real environment is inves- tigated and the theoretical model of a high-power fibre laser propagating in a real environment is established. The influence of a collimating system and thermal blooming is considered together with atmospheric turbulence and me- chanical jitter. The laser energy concentration of partially coherent beams in the far field is calculated and analysed based on the theoretical model. It is shown that the propagation performance of partially coherent beams depends on the collimating system, atmospheric turbulence, mechanical jitter and thermal blooming. The propagation performance of partially coherent beams and fully coherent beams is studied and the results show that partially coherent beams are less sensitive to the influence of thermal blooming, which results in that the energy degeneration for partially coherent beams is only 50% of that for fully coherent beams. Both partially coherent beams and fully coherent beams become less sensitive to thermal blooming when the average structural constant of the refraction index fluctuations increases to 1.7×10^-14 m^-2/3. The investigation presents a reference for applications of a high-power fibre laser system.

Self-focusing of partially coherent beams based on complex screen and split-step Fourier transform methods

The self-focusing phenomenon of partially coherent beams(PCBs)was simulated using the complex screen method combined with the split-step Fourier method to solve the nonlinear Schrödinger equation.Considering the propagation of Gaussian Schell-model beams in a nonlinear medium as an example,the suppression effects of intensity,propagation distance,and spatial coherence on small-scale self-focusing were demonstrated.Simulations of overall and small-scale self-focusing using this method were compared with the existing literature to demonstrate the validity of the method.This method can numerically analyze the degree of self-focusing in PCBs and advance the study of their nonlinearity.

部分相干cosh-Gaussian光束通过大气湍流后的聚焦特性

为了研究部分相干双曲余弦高斯光束通过大气湍流中传输后的聚焦特性,采用了ABCD矩阵光学的方法进行分析研究,取得了光强分布、束腰半径以及桶中功率的解析式,并用于描述部分相干双曲余弦高斯光束通过大气湍流的聚焦特性。结果表明,在不同湍流强度下,部分相干双曲余弦高斯光束和双曲余弦高斯光束在经过大气湍流后有不同的聚焦特性;使用桶中功率和束腰半径作为评价参量,大气湍流对完全相干双曲余弦高斯的影响更严重;大气湍流对聚焦部分相干双曲余弦高斯光束的影响要大于准直光束。该结果对部分相干光束聚焦特性的研究有一定的理论指导意义,对合成光束傍轴聚焦系统的设计有工程指导意义。

部分相干贝塞尔高斯光束在非柯尔莫哥诺夫湍流中的传输特性

根据广义惠更斯一菲涅耳原理，推导出了部分相干贝塞尔高斯光束在非柯尔莫哥诺夫湍流中传输时平均光强和偏振度的解析表达式，研究了部分相干贝塞尔一高斯光束在非柯尔莫哥诺夫湍流模型下的光强分布特征和偏振度变化规律，同时分析了指数项、折射率结构常量、湍流内外尺度以及拓扑荷、光源相干性等对光束传输性质的影响．数值计算表明，随着传输距离的增加，部分相干贝塞尔高斯光束的光强会从空心分布逐渐演变为高斯分布，同时光束会有一定程度的展宽．而且，当指数项值越接近于3．1，折射率结构常量越大，外尺度越大或者内尺度越小时，光强分布的演变越为迅速，展宽现象也越明显；当拓扑荷越小或者相干长度越小时，光强分布的演变越迅速，但是二者对展宽现象的影响并不明显．另外，偏振度在近距离处会经历一段振荡及升降变化过程，当距离足够远时会趋于一个稳定值，且该值等于光源平面上的初始偏振度．偏振度变化的快慢程度受指数项、折射率结构常量、湍流内外尺度、拓扑荷和相干长度等因素的影响．

相干和非相干平顶高斯光束的比较研究

对完全相干和非相干平顶高斯光束的传输特性作了详细研究。提出了用有限个拉盖尔 -高斯模或厄米 -高斯模的部分相干迭加来产生部分相干平顶高斯光束 ,以满足某些实际应用要求的新方法。

光源相干度对Bessel光最大无衍射距离的影响

理论分析和实验研究了光源相干度对其产生的Bessel光最大无衍射距离的影响.以He-Ne激光器为光源,用旋转毛玻璃法产生部分相干光,经过扩束后再用轴棱锥法产生Bessel光束.通过移动旋转毛玻璃改变部分相干光的相干度,测量其产生的Bessel光束的最大无衍射距离,得到光源相干度与产生Bessel光束最大无衍射距离的关系.结果表明,随着光源相干度的降低,Bessel光束最大无衍射距离明显变短,当相干度g≈1下降为g=0.8时,最大无衍射距离缩短了一半.用高斯-谢尔模型进行分析和模拟,理论模拟结果与实验观察结果基本吻合.

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。

部分相干厄米高斯光束在斜程大气湍流中的扩展

基于广义惠更斯-菲涅耳原理,推导出部分相干厄米高斯(H-G)光束通过斜程大气湍流传输的均方根束宽和角扩展的解析表达式,并用以研究了传输路径和光束阶数对部分相干H-G光束传输的影响。引入相对束宽和相对角扩展来定量描述光束抗拒大气湍流的能力。结果表明:在相同条件下,部分相干H-G光束斜程传输受大气湍流的影响要小于水平传输,与水平传输相比斜程传输更有利于部分相干光束在大气湍流中的传输,光束阶数越大部分相干H-G光束受大气湍流的影响越小。

PCELG光束通过光阑传输后偏振度的研究

为了研究部分相干复宗量拉盖尔-高斯(PCELG)光束通过环形光阑后在湍流大气中传输时的偏振特性,基于拓展的惠更斯-菲涅耳原理,经理论推导,得出PCELG光束偏振度的解析表达式,并进行了相应的数值计算。结果表明,光阑的衍射效应将会造成PCELG光束偏振度振荡加剧的现象;当PCELG光束在湍流大气或自由空间中传输时,近轴处横向的偏振度有着剧烈的振荡,而在较远点处,其偏振度都是趋于1,且随着传输距离的增加,横向的偏振度趋于1时所对应的离轴距离也增大;当PCELG光束通过光阑后在自由空间中传输时,经过足够长的距离,偏振度将趋近于不同于初始偏振度的值,而在湍流大气中传输时,偏振度将趋近于初始偏振度。该结果对光束在大气中的传输及其应用具有实际意义。

高斯-谢尔模光束通过光栅的远场特性

针对现代激光系统中使用的衍射光学元件,以高斯-谢尔模光束为研究对象,分析了部分相干光通过光栅后的远场特性。利用部分相干光的标量传播公式,对不同束腰宽度、相关长度和相干长度的高斯-谢尔模光束经光栅后的传输特性进行了数值计算,得到了多种情况下光束的远场强度分布。

部分相干电磁光束在湍流介质中传输的偏振变化

从推广的惠更斯-菲涅尔原理出发,推导出了部分相干电磁光束的偏振态在湍流介质中传输的表达式。并以电磁高斯-谢尔模型(EGSM)光束为例,研究了湍流对电磁高斯-谢尔模型光束偏振态的影响。研究结果表明,对于轴上点,湍流介质的折射率结构常数越大,偏振度趋于最大值的速度越快,达到的最大值越小;光斑越大,偏振度达到最大值的位置离光源越远,在光斑增大的过程中,偏振度所达到的极大值会先增大后减小,最后保持与光源相同的偏振度不变。对于轴外点,一个固定的z,光的偏振度随着离轴距离的增大而逐渐下降,并最终等于零。折射率结构常数越大,偏振度随离轴距离的增大而下降得越缓慢;光斑越大,偏振度随离轴距离的增大下降得越快。

部分相干双曲正弦高斯光束的M^2因子与湍流距离

基于广义惠更斯-菲涅耳原理和维格纳分布函数方法,推导出了部分相干双曲正弦高斯(ShG)光束在湍流大气中M2因子的解析表达式。在此基础上研究了部分相干ShG光束的湍流距离,即湍流引起的光束扩展可忽略的范围。采用Von Karman谱分别对M2因子和湍流距离进行了数值计算,并分析了内外尺度的影响。研究表明:M2因子随束腰宽度和离心参数的增加存在极小值;湍流距离随束腰宽度的增加存在极大值,随离心参数的增加而增加,大气湍流对离心参数较大的光束影响较小。另外,M2因子和湍流距离与折射率结构参数、内尺度、外尺度、波长和相干参数等密切相关。

部分相干平顶高斯光束通过球差透镜的聚焦特性

基于部分相干光的传输理论,研究了部分相干平顶高斯光束通过球差透镜聚焦后轴上点的光强分布。数值计算表明:轴上最佳聚焦点随着球差从负到正的变化而向几何焦点方向移动;光束阶数越大,实现最佳聚焦点越过几何焦点所需的正球差值越小;正负球差对应的最佳聚焦点始终分居于无球差时最佳聚焦点的两侧;轴上最佳聚焦点的光强随着球差从负到正的变化而变小;当正负球差绝对值较大时,光强随球差的变化较为缓慢,而在球差值为0附近,光强随球差的变化比较剧烈。

部分相干厄米-高斯光束在湍流大气中的M^2因子

基于广义惠更斯-菲涅耳原理和Winger分布函数二阶矩的定义,推导出部分相干厄米-高斯(PCHG)光束在湍流中的M2因子的解析表达式,并进行了数值计算和分析.研究结果表明:湍流中PCHG光束的M2因子由光束的阶数、相干长度、束腰宽度、波长以及湍流的折射率起伏结构常数和传输距离来决定;随着光束阶数、大气湍流的折射率起伏结构常数以及传输距离的增大,以及光束相干长度的减小,PCHG光束在湍流大气中的M2因子明显增大;对于给定的传输距离,存在最佳初始束宽使大气湍流中PCHG光束的M2因子最小;完全相干厄米-高斯光束和高斯-谢尔模型(GSM)光束在大气湍流中的M2因子变化规律可以作为本文研究的特例.

部分空间和部分光谱相干高斯-谢尔模型脉冲光束在自由空间中的光谱和时间特性

对部分空间和部分光谱相干2维高斯-谢尔模型脉冲光束在自由空间传输的光谱和时间特性做了详细的数值研究。结果表明,部分空间和部分光谱相干高斯-谢尔模型脉冲光束在自由空间传输中发生了光谱移动,光谱移动与场点位置、空间相关长度和时间相干长度有关。在轴上,光谱出现蓝移,相对光谱移动随传输距离的增加而增大,随空间相关长度和时间相干长度的增加而减小,并逐渐趋于一定值。在轴外,光谱出现蓝移和红移,并与空间相关长度和时间相干长度有关。脉冲时间波形不变,对所得主要结果做了物理解释。