被光阑像散透镜聚焦高斯-谢尔模型光束轴上的光谱开关

从部分相干光的传输理论出发,研究了高斯-谢尔模型光束通过光阑像散透镜聚焦的光谱异变和光谱开关。研究表明,在考虑像散的情况下,聚焦场轴上也会出现光谱异变和光谱开关。光谱异变和光谱开关不仅与空间相关性、截断参量、菲涅耳数和源光谱谱宽有关,透镜像散对光谱异变和光谱开关也会产生影响。通过数值计算结果,重点对透镜像散对光谱移动和光谱开关的影响进行了分析。与无像散情况相比,像散会使出现光谱开关的临界位置发生变化,当像散较大时出现光谱开关的临界位置明显向几何焦面移动,特别是当像散增加到一定数值时,光谱开关会消失。     

衍射扭曲高斯-谢尔模型光束在远场的光谱移动和光谱开关

从部分相干光的传输理论出发,研究了被光阑衍射扭曲高斯-谢尔模型光束远场的光谱变化规律。结果表明,扭曲高斯-谢尔模型光束在远场也会出现光谱移动和光谱开关效应。与衍射高斯-谢尔模型光束情况相比,光谱移动和光谱开关效应不仅与光束空间相关性、截断参量和源光谱谱宽有关,光束的扭曲因子也会对衍射扭曲高斯-谢尔模型光束远场的光谱移动和光谱开关效应产生影响。通过数值计算结果详细讨论了光束扭曲因子影响衍射扭曲高斯-谢尔模型远场光谱的规律。     

多色矢量高斯-谢尔模型光束的焦移和焦开关

从交叉谱密度矩阵的传输公式出发,对多色矢量高斯-谢尔模型（GSM）光束的焦移和焦开关作了详细的研究.插入偏振片之前,多色矢量高斯-谢尔模型（GSM）光束通过硬边光阑透镜分离光学系统后,有焦移,但无焦开关;而插入偏振片之后,会出现焦开关.改变偏振片的旋转角度可以控制焦开关的特性.     

部分相干余弦-高斯光束

引入部分相干余弦-高斯光束,推导出部分相干余弦-高斯光束通过近轴ABCD光学系统的传输公式和M2因子,研究了部分相干余弦-高斯光束通过像散透镜的传输特性.结果表明,部分相干余弦-高斯光束的M2因子与部分相干余弦-高斯光束的空间相干参量和离心参量有关,但与透镜的像散系数无关.适当选取空间相干参量,离心参量或像散系数,在几何焦面处可得到类高斯、平顶和空心等不同的光强剖面,实现部分相干余弦-高斯光束的空间整形.     

部分相干余弦-高斯光束

引入部分相干余弦-高斯光束,推导出部分相干余弦-高斯光束通过近轴ABCD光学系统的传输公式和M2因子,研究了部分相干余弦-高斯光束通过像散透镜的传输特性.结果表明,部分相干余弦-高斯光束的M2因子与部分相干余弦-高斯光束的空间相干参量和离心参量有关,但与透镜的像散系数无关.适当选取空间相干参量,离心参量或像散系数,在几何焦面处可得到类高斯、平顶和空心等不同的光强剖面,实现部分相干余弦-高斯光束的空间整形.     

多色高斯-谢尔模型光束通过球差透镜的光谱变化

基于部分相干光的传输方程研究了多色高斯一谢尔模型光束通过球差透镜的光谱变化。结果表明,多色高斯一谢尔模型光束通过球羞透镜后的轴上光谱与空间相关参量β,球差系数C1,源光谱谱宽σ0,位置z有关。着重分析了球差对轴上光谱的影响,将所得的结果与无像差的理想情况作了比较。当无球差时,轴上光谱仅有蓝移,而有球差时,轴上光谱存在蓝移或红移,并会出现光谱分裂现象。在某些特定位置处,轴上光谱分裂为等高双峰,并有跃变出现。而且,球差对光谱的影响随空间相关性增加而变得明显。当空间相关参量减小到某一值时,光谱分裂消失。     

被光阑衍射部分偏振高斯-谢尔模型光束的远场特性

从部分相干光的传输理论出发,采用光束相干-偏振矩阵方法研究了被光阑衍射部分偏振高斯-谢尔模型光束的远场特性,对远场偏振和光强特性作了详细的数值计算和物理分析。研究结果表明,光阑衍射部分偏振高斯-谢尔模型光束的远场特性与光阑截断参量、光的空间相干性和衍射角有关。并与自由空间的传输特性和以前的工作作了比较分析。     

大气湍流对多色高斯-谢尔模型光束扩展的影响

基于广义惠更斯-菲涅耳原理,采用Rytov相位结构函数二次近似和硬边窗口函数的复高斯展开法,推导了受光阑限制的多色高斯-谢尔模型(GSM)光束在大气湍流中的二阶矩束宽公式。研究表明:二阶矩束宽随着大气湍流折射率结构常数、源光谱带宽和光束传输距离的增加而增大,随着光束截断参数和光束相干参数的增加而减小;并且,当源光谱带宽越大、光束截断参数和光束相干参数越小,则湍流对受光阑限制的多色GSM光束扩展的影响就越小。关键词:      

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。     

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。     

On-axis spectral shifts and spectral switches of Gaussian Schell-model beams focused by an astigmatic aperture lens

Starting from the propagation law of partially coherent light, the on-axis spectral shifts and spectral switches of Gaussian Schell-model (GSM) beams focused by an astigmatic aperture lens are studied. It is shown that, as compared with an aberration-free case whose spectral shifts and spectral switches are induced by spatial correlation and aperture diffraction, the spectral shifts and spectral switches of GSM beams also depend upon the astigmatism of the lens for an astigmatism case. Detailed numerical calculations are made to illustrate the behavior of spectral shifts and spectral switches of GSM beams focused by an astigmatic aperture lens.     

Spectral shifts of Gaussian Schell-model beams in passage through an astigmatic lens

Starting from the propagation law of partially coherent light, a closed-form expression for the spectrum of Gaussian Schell-model (GSM) beams propagating through an astigmatic lens is derived, which enables us to study the dependence of spectral shift of GSM beams on the astigmatism of the lens and spatial coherence of GSM beams both analytically and numerically. A comparison with the aberration-free case is made, and shows that the astigmatism affects the spectral behavior of GSM beams. Two special cases of the full coherence and incoherence are discussed and illustrated physically.     

Focusing properties of Gaussian Schell-model beams by an astigmatic aperture lens

This paper studies the focusing properties of Gaussian Schell-model (GSM) beams by an astigmatic aperture lens. It is shown that the axial irradiance distribution, the maximum axial irradiance and its position of focused GSM beams by an astigmatic aperture lens depend upon the astigmatism of the lens, the coherence of partially coherent light, the truncation parameter of the aperture and Fresnel number. The numerical calculation results are given to illustrate how these parameters affect the focusing property.     

Effect of astigmatism on spectral switches of partially coherent beams

A detailed study of the spectrum of partially coherent beams diffracted at an astigmatic aperture lens is performed. Considerable attention is paid to the effect of astigmatism on spectral switches of polychromatic Gaussian Schell-model beams. It is shown that the spectral switch can also take place in the vicinity of intensity minimum in a geometrical focal plane for the astigmatic case, but the astigmatism of the lens and the spatial correlation of the beam affect the critical position u_c, spectral minimum S_{min}, and transition height Δ of spectral switches.     

The spectral changes of partially coherent light focused by an apertured lens with chromatic aberration

The spectral changes of a partially coherent polychromatic light focused by an apertured lens with chromatic aberration are investigated. It is demonstrated that the spectrum in the focused field is different from that in the aperture. Comparing with the spectrum in the aperture, the spectrum in the focused field shifts to lower or higher frequency, which is defined as a spectral shift. The influence of chromatic aberration of the lens, the coherence of the partially coherent light in the aperture, the radius of the aperture, and the spectral width of the spectrum of the aperture on the spectral shift are investigated in detail. The numerical results show that these parameters affect the spectral shift noticeably.     

Spectral shifts and spectral switches of partially coherent vector beams propagating through an astigmatic aperture lens

By using the polarization matrix and propagation equation of the cross-spectral density function matrix, the spectral shifts and spectral switches of partially coherent vector beams propagating through an astigmatic aperture lens are studied, where the effect of lens astigmatism and beam cross-correlation on the spectral switches is stressed. It is shown that the critical position, spectral transition height and spectral minimum at spectral switches depend on the astigmatism. The beam cross-correlation plays a role in spectral switches under the condition that a polarizer is inserted. The spectral switch vanishes when the astigmatic coefficient is larger than a certain value, or the cross-correlation length is less than a certain value.     

Application of the Wigner distribution function to studying spectral changes of twisted anisotropic Gaussian Schell-Model beams

By using the Wigner distribution function (WDF), a general closed-form expression for the spectrum of twisted anisotropic Gaussian Schell-model (AGSM) beams in passage through a first-order ABCD system is derived. The spectral changes of twisted AGSM beams propagating in free space and through a thin lens, and the spectral changes of conversional Gaussian-Schell model (GSM) beams are treated as special cases of our general expression. Our theoretical and numerical results show that the WDF provides a powerful and simple tool in analyzing propagation properties of general AGSM beams. Specifically, the spectral behavior of twisted AGSM beams and conventional GSM beams can be treated in a unified and analytical way.     

Experimental observation of focal shifts in focused partially coherent beams

We report the experimental observation of focal shifts in partially coherent beams of Gaussian Schell-model (GSM) type focused by a circularly apertured thin lens. The relative focal shift increases as the aperture radius or the state of coherence of the GSM source decrease. The experimental results agree well with theoretical predictions.