Z-scan analysis of high-order nonlinear refraction effect induced by using elliptic Gaussian beam

The irradiance of an elliptic Gaussian beam that is high enough to excite high-order nonlinear refraction effect is used to calculate the normalized on-axis transmittance function in the z-scan technique by introducing complex beam parameters which make the calculation simpler. The transmittance formula is applied to the first-, first two-, and first three-order nonlinearities. Numerical evaluation shows that the symmetry no longer holds when using an elliptic Gaussian beam instead of a circular Gaussian beam. A distortion is observed in the central part of the curve, which decreases as ellipticity increases. Moreover, the variation of the normalized peak-valley difference decreases as ellipticity decreases.     

Self focusing of elliptic Gaussian laser beams: Saturable nonlinearity

An analysis of self focusing of an elliptic Gaussian laser beam, propagating through a medium with saturable nonlinearity has been presented. It has been established that stationary self trap propagation of the beam is not possible. Though stationary self trap propagation does not occur, one can define a virtual threshold power for self focusing. Above this threshold power value, but not far from it, the beam focuses; below this threshold value it defocuses. As a whole three different defocusing zones and two focusing zones have been identified. It is also shown that effective beam radius never reaches zero.     

A simple technique for quickly measuring the spot size of Gaussian laser beams

A simple and accurate technique for measuring the spot size of Gaussian laser beams by scanning the beam with an opaque ribbon is proposed. The usefulness of this technique is verified experimentally.     

强非线性吸收下高斯光束Z-扫描衍射理论模型

 摘要：在同时考虑非线性折射和非线性吸收的情况下，借助光的衍射理论，研究了Z-扫描技术的衍射理论模型，分析了非线性折射和非线性吸收同时存在时Z-扫描曲线的形状特征和变化规律。数值计算表明，非线性吸收相移和非线性折射相移的比值是影响接收小孔输出光功率的重要因素。要想得到好的光限幅效果，应选取非线性相移比值远小于1或远大于2的非线性材料。     

Z-扫描技术的灵敏度分析

单光束激光Z-扫描技术是利用光束的横向特性来研究材料的光学非线性的,其灵敏度的提高有助于测量微弱折射率变化。从入射光束、调制方式、光束检测等方面论述了Z-扫描技术的灵敏度。顶环光束入射相对于标准Z-扫描技术的高斯光束入射其灵敏度可提高2.5倍,但要求光源的输出能量达到一定值,仅适用于测定较小的非线性相移;在光路中插入调制元件后放大因子可达到780,但调节光路难以调节焦移效应。利用CCD作为探测器的TPDZ-扫描技术能够测量小于λ/15000的非线性相位畸变,CCD能够充分获得光束的横向信息,有望成为另一种测量光学非线性的常用方法。     

强非线性吸收下高斯光束Z-扫描衍射理论模型

在同时考虑非线性折射和非线性吸收的情况下,借助光的衍射理论,研究了Z-扫描技术的衍射理论模型,分析了非线性折射和非线性吸收同时存在时Z-扫描曲线的形状特征和变化规律。数值计算表明,非线性吸收相移和非线性折射相移的比值是影响接收小孔输出光功率的重要因素。要想得到好的光限幅效果,应选取非线性相移比值远小于1或远大于2的非线性材料。     

Comparison of the Gaussian-decomposition and the Fresnel-Kirchhoff diffraction methods in circular and elliptic Gaussian beams

In this investigation, the Gaussian decomposition and the Fresnel-Kirchhoff diffraction methods are compared from different view points. The virtues and faults of each method and also the reliable region of each one are discussed. This work is based on a numerical method for both the circular and elliptic Gaussian beams and results are compared with experimental data. This study is useful for materials exhibit optical Kerr effect such as two photon absorption and thermo-optical nonlinearities.     

高斯涡旋光束的傍轴度

按单色光束傍轴度的定义,对高斯涡旋光束的傍轴度进行了研究。使用角谱表示法推导出高斯涡旋光束傍轴度的解析公式,用此研究了傍轴度和高斯涡旋光束参数之间的关系。结果表明,随背景高斯光束束腰宽度和光涡旋离轴参数的增加及随光涡旋拓扑电荷的减少,高斯涡旋光束的傍轴度增加。对所得结果用傍轴度与远场发散角间的关系做了物理解释。     

高斯涡旋光束的傍轴度

按单色光束傍轴度的定义,对高斯涡旋光束的傍轴度进行了研究.使用角谱表示法推导出高斯涡旋光束傍轴度的解析公式,用此研究了傍轴度和高斯涡旋光束参数之间的关系.结果表明,随背景高斯光束束腰宽度和光涡旋离轴参数的增加及随光涡旋拓扑电荷的减少,高斯涡旋光束的傍轴度增加.对所得结果用傍轴度与远场发散角间的关系做了物理解释.     

1维部分相干光束的Z扫描理论分析

 对使用高斯-谢尔模型光束的Z扫描做了理论分析,研究了光阑半径和空间相干度变化对Z扫描曲线的影响。研究发现：随着光阑半径的变大,Z扫描峰谷透过率之差逐渐减小直至为零,其作用效果与完全相干光一致;随着空间相干度的增加,峰谷透过率之差也逐渐增大,当空间相干度大于某一定值后,峰谷透过率之差达到饱和不变。部分相干光束的Z扫描实验为测量其空间相干度提供了一种可行的方法。     

Gaussian beams and minimum diffraction

I show that different legitimate measures of the amount of diffraction lead to contradictory conclusions concerning the beam profile that experiences minimum diffraction for a given beam width. In particular, when the Rényi entropy is used, the Gaussian beams no longer provide minimum diffraction, i.e., they do not have maximum quality.     

Scintillations of Laguerre Gaussian beams

By using the Rytov method, we formulate and numerically evaluate the scintillations of Laguerre Gaussian beams in weak atmospheric turbulence. Our results indicate that at on-axis positions, Laguerre Gaussian beams with zero angular mode number will have less scintillations than fundamental Gaussian beams, where the amount of scintillations will further decrease with rising radial mode number. When off-axis positions are considered, this situation reverses however, and the scintillations of Laguerre Gaussian beams become generally higher than the fundamental Gaussian beam. Plotted against the source size, the on-axis scintillations of Laguerre Gaussian beams fall below the fundamental Gaussian beam, following the same trend as the fundamental Gaussian beam all throughout the source size range examined.     

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.     

Fractional Fourier transform for off-axis elliptical Gaussian beams

The fractional Fourier transform (FRT) is applied to off-axis elliptical Gaussian beam (EGB). An analytical formula is derived for the FRT of off-axis EGB in terms of the tensor method. The corresponding tensor ABCD law for performing the FRT of off-axis EGB is also obtained. By using the derived formulae, numerical examples are given. The derived formulae provide a convenient way for analyzing and calculating the FRT of off-axis EGB.     

Scintillation characterization for multiple incoherent uplink Gaussian beams

By means of numerical simulations, we analyze the scintillation characterization for multiple incoherent uplink Gaussian beams under weak fluctuations cases. Because truly independent beams are difficult to create, we present a more general but approximate model for the multiple of beams traveling through partially correlated paths. This model compares with wave-optics simulations and highlights the reduced correlation coefficient as the beam separation is increased. The scintillation index of three and six incoherent uplink Gaussian beams is also induced. The result shows that the scintillation index decreases with the increase of beams amount and beam separation. When the beams amount and strength of atmospheric turbulence are fixed, the reduction of scintillation index is affected by the ratio of beams separation and the Fried length. The corresponding physical mechanisms for the results are discussed.     

Z-scan technique as a tool for the measurement of blood glucose

The measurement of the blood glucose level utilizing the optical nonlinearity observed by a single-optical beam Z-scan technique is proposed. The glucose level is calculated by measuring the nonlinear refractive index (n ₂) of the sample. The results are compared with the measurement made by the conventional colorimetric method and are found to be in good agreement.