非高斯光束的传输

提出一种能处理非高斯非轴对称光束传输的张量方法,引入三个表征任意分布光束的特征张量,运用非对称光学系统的惠更斯衍射积分公式导出了它们的变换规律.讨论了任意光束的质量因子.作为一个实例,分析了高阶厄米-高斯光束通过柱面透镜的变换.     

平顶高斯光束与超高斯光束传输特性的比较研究

对平顶高斯光束与超高斯光束的传输特性作了研究和比较,并给出了典型的数值计算例．所得的主要结论是有相同M²因子和束宽的平顶高斯光束与超高斯光束在通过光学系统时,具有非常相似的包括光强分布和光阑衍射效应在内的传输变换特性． 关键词：     

方形光阑限制高斯光束的传输变换

对基模高斯光束经方形光阑限制光学系统的光斑传输变换规律进行了论述．对于任一共轴光学系统,在不考虑有效光阑前面元件的衍射和变换时,考察入射光经有效光阑和其后面的元件发生衍射,根据柯林斯公式,对于非成像光学系统,采用稳相法得到出射光场的振幅分布;对于成像光学系统,根据像传递原理得到出射光场的振幅分布,最后得出出射光斑大小由有效光阑边长与光阑处高斯光束腰斑大小比较决定的结论．     

非傍轴矢量高斯光束的传输

运用非傍轴光束传输的矢量矩理论，对非傍轴矢量高斯光束的传输特性进行了系统的研究.结果表明，基于二阶矩定义的横向光束宽度在光束传播过程中满足简单的双曲线变化规律，并且给出了光束传输因子的解析表达式.就高度非傍轴情形，进一步给出了简洁的计算公式，在高斯光源线度趋向零的极限情形下，横向的最大发散角为90°.同时，还推广到了傍轴情形，得到了与原有傍轴公式稍有区别的结果，而且光束传输因子始终保持略大于1最后，对非傍轴矢量高斯光束和非傍轴标量高斯光束的传输进行了比较，结果显示对于线度在两个波长范围之内的高斯光源发散 关键词： 矢量高斯光束 光束传输 非傍轴 二阶矩     

高斯—斯克尔模型光束经过光学系统的传输

根据惠更斯-菲涅耳(Hugens-Fresnel)衍射积分,推导出高斯-斯克尔模型光束二阶相关函数经过光学系统的传输公式.引入与高斯光束类似的q参数.证明了高斯-斯克尔模型的q参数亦满足ABCD变换定律.     

椭圆平顶高斯光束及其传输特性

用张量光学方法定义了三维不可分离变量的椭圆平顶高斯光束(EFGB),导出了这种光束经过非轴对称光学系统的传输公式及相应的张量ABCD定律, 并对EFGB经过自由空间的传输作了数值计算。结果表明, EFGB的传输特性依赖于阶次, 而且耦合EFGB的光强分布在传输过程中会发生旋转。     

椭圆平顶高斯光束及其传输特性

 用张量光学方法定义了三维不可分离变量的椭圆平顶高斯光束(EFGB),导出了这种光束经过非轴对称光学系统的传输公式及相应的张量ABCD定律, 并对EFGB经过自由空间的传输作了数值计算。结果表明, EFGB的传输特性依赖于阶次, 而且耦合EFGB的光强分布在传输过程中会发生旋转。     

高斯光束通过非线性折射和吸收介质的光强分布

以衍射理论为基础,推导并模拟了高斯光束通过非线性折射和吸收效应介质后的远场光强分布。结果表明:入射高斯光束引起的介质折射率变化和光束波前曲率影响介质出射面光束的径向调制相位,安装在焦点前的有自聚焦效应的介质和安装在焦点后的有自散焦效应的介质具有闪耀光栅的能力,使远场出现中心为暗斑外侧为亮环的衍射图样。非线性折射效应为主的介质,其非线性吸收效应的变化同时改变远场衍射图样的数目和光强值,但对于非线性吸收效应为主的介质,衍射图样的数目随吸收效应的变化不明显,吸收效应只影响光强值。     

平顶高斯光束的传输特性

将平顶高斯光束作为一个整体光束处理 ,研究了它通过近轴 ABCD光学系统的传输特性。对无光阑情况 ,推导出较为普遍的解析式 ;而对有光阑限制情况 ,数值积分是可行的。给出的典型数值计算结果证实了这种方法与有限拉盖尔 -高斯函数展开法是等价的。     

光致折射晶体中高速调制光束传输和放大的理论研究

本文首次对高速调制光束在先致折射晶体中的耦合进行了理论研究,指出利用光致折射晶体中的双光束耦合可以实现高速调制光束的信息转换和放大,并为实验所证实.     

Axial superposition of Gaussian spherical beams

A novel model of beam formed by coherent superposition of two correlated Gaussian spherical beams with different centers is presented. This kind of beam has a transverse spreading smaller than a fundamental Gaussian beam. The beam quality factor is smaller than one.     

Transformation of Gaussian beams by spherical and cylindrical lenses: the scalar diffraction approach

The transformation of a Gaussian beam by a lens has often been described in terms of geometrical optics by the formal application of the ABCD-matrix law of the lens to the complex beam parameter. In this paper we present as a wave optical method the scalar diffraction approach to the same problem. It is shown that the fresnel approximation yields results which are analytically identical to those obtained by the ABCD-law, if truncation effects of the lens can be neglected.     

Transformation of nonparaxial Gaussian beams

Based on the vector theory of nonparaxial Gaussian beams, the paper presents a theory about the transformation of nonparaxial Gaussian beams after lens. The collimating characteristic and propagation properties are discussed in detail, and the collimating field after lens for the vector and scalar theory respectively is compared, and the quantitative difference is also derived.     

高斯光束经过负球差透镜的聚焦

本文讨论高斯光束经过负球差透镜的聚焦，得到了聚焦光场轴上点的光强分布的表示式，并对其进行数值计算。数值计算结果表明，在负球差的情况下，得到光强的最大点位置（最佳聚焦点）相对于无球差情况，往透镜方向移动，并且，最佳聚焦点的光强较无球差时大，当Ｎｗ＝１，Ｎａ＝５，ｋＳ１＝－０．２时，得到的最佳聚焦点的光强是无球差时的１．３４倍。本文还讨论了透镜的菲涅尔数对聚焦光场分布的影响。结果表明，当透镜的菲涅尔数小于１时，球差对高斯光束的聚焦的影响可以忽略。     

Changes in polarization of Gaussian Schell-model beams and partially polarized Gaussian Schell-model beams through a polarization grating

The polarization properties of Gaussian Schell-model (GSM) beams and partially polarized Gaussian Schell-model (PGSM) beams passing through a polarization grating (PG) are studied based on the beam coherence-polarization (BCP) matrix formulism, where the finite size of the PG is considered. Detailed numerical calculation results are given and compared with the previous work.     

Effect of spherical aberration on scintillations of Gaussian beams in atmospheric turbulence

The effect of spherical aberration on scintillations of Gaussian beams in weak, moderate and strong turbulence is studied using numerical simulation method. It is found that the effect of the negative spherical aberration on the on-axis scintillation index is quite different from that of the positive spherical aberration. In weak turbulence, the positive spherical aberration results in a decrease of the on-axis scintillation index on propagation, but the negative spherical aberration results in an increase of the on-axis scintillation index when the propagation distance is not large. In particular, in weak turbulence the negative spherical aberration may cause peaks of the on-axis scintillation index, and the peaks disappear in moderate and strong turbulence, which is explained in physics. The strong turbulence leads to less discrepancy among scintillations of Gaussian beams with and without spherical aberration.     

Transformation of pulsed Gaussian beams in a four dimension domain

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Tunneling of optical beams through inhomogeneity of a refractive index

We consider the effect of tunneling of optical beams through a narrow induced inhomogeneity in a refractive index. It is shown that under the condition of total internal reflection from the induced channel, part of the signal beam leaks if the channel is narrow. Dependence of the pump beam width at which the tunneling of half signal power occurs is found as a function of the pump intensity and the angle of beam crossing.