Birefringence dispersion in a quartz crystal retrieved from a channeled spectrum resolved by a fiber-optic spectrometer

We present a simple method for measuring the wavelength dependence of both the phase and group birefringences in a quartz crystal of known thickness. The method utilizes interference of polarized waves resolved by a fiber-optic spectrometer as a channeled spectrum (spectral fringes). The fringe order versus the precise position of the interference maximum in the spectrum is fitted to the approximate function, from which the phase birefringence as a function of wavelength is retrieved. We also determine the group birefringence dispersion. The functions measured in a range from 500 to 900 nm are compared with those resulting from the available dispersion relation, and very good agreement is confirmed.     

Recent contribution in color interferometry and applications to high-speed flows

Recent improvements brought to color interferometry for analyzing high-speed flows are described through different applications. First, the optical technique based on differential interferometry using a polarized white light and one or two Wollaston prisms allows to record high-speed interferograms of the flow downstream of a circular cylinder. Then, this technique has been applied to axisymmetric flows for studying an interaction between a supersonic hot jet and a coaxial supersonic flow. Another application concerns the study of hypersonic flows using Wollaston prisms with a large birefringence angle. Finally, the analysis of gaseous mixture and the evolution of two-gases interface submitted to an acceleration is presented. Interferograms analysis is made from a modeling of interference fringes versus the optical path difference which allows to easily extract quantitative information of the gas density. In order to obtain absolute measurements of the gas density, real-time holographic interferometry has been developed using a three-color laser source and a panchromatic holographic plate. The technique generates the achromatic white fringe which makes the zero order of interference fringes easy to identify. An application is presented in a 2D subsonic wind tunnel, in which the unsteady wake flow past a cylinder is recorded at high framing rate. In this optical setup, transmission holograms are used. As a conclusion, an approach is proposed to analyze the 3D flows from real-time color holographic interferometry using reflection holograms and the problems to solve are described.     

Fringes of equal chromatic low orders

A new kind of chromatic interference fringe is produced by crossing the dispersion of a plane diffraction grating by an auxiliary dispersion (a spectograph). These are called fringes of equal chromatic low orders, since they have orders of values 0, ±1, ±2,..., etc. The fringes are straight chromatic lines having a separation which is directly proportional to the wavelength. These fringes can be used to measure exactly the grating space, and they afford a continuous wavelength calibration of the auxiliary spectograph. The wavelength can be determined accurately to ±0.04% with a grating having 2000 lines of spacing 0.05 mm.     

Dispersion spreading of polarization-entangled states of light and two-photon interference

We study the interference structure of the second-order intensity correlation function for polarization-entangled two-photon light obtained from type II collinear frequency-degenerate spontaneous parametric down conversion (SPDC). The structure is visualized due to the spreading of the two-photon amplitude as two-photon light propagates through optical fiber with group-velocity dispersion (GVD). Because of the spreading, polarization-entangled Bell states can be obtained without any birefringence compensation at the output of the nonlinear crystal. Instead, proper time selection of the intensity correlation function is required. A birefringent material inserted at the output of the nonlinear crystal (either reducing the initial e-o delay between the oppositely polarized twin photons or increasing this delay) leads to a more complicated interference structure of the correlation function.     

液晶电控双折射率与电压关系的研究

对向列相液晶BL-009作了电控双折射特性的研究。实验上采用简单、精确的偏光干涉法，利用岛津UV-3101PC型分光光度计，在入射光波长为630nm时，测出了液晶的透射率随交流电压的有效值和频率的变化曲线，从而得到液晶电控双折射率随电压的有效值和频率变化曲线。分析实验数据，可知液晶的电控双折射率随电压有效值的升高成一阶指数下降，而且，随电压频率的升高，在一定的范围内基本成线性下降。此实验结果对液晶器件的设计、制作、使用都具有一定的参考价值。     

几种新型LD泵浦Nd∶YAG双频激光器

介绍了几种LD泵浦Nd∶YAG双频激光器 ,均应用双折射原理实现。一类是利用自然双折射效应 ,在激光谐振腔内加入自然双折射元件 ;另一类则是对YAG晶片加压力 ,使YAG晶片本身成为应力双折射元件。由于双折射效应使激光在谐振腔内产生偏振方向互相垂直的寻常光 (o光 )和非寻常光 (e光 )两种成分。因为o光和e光在双折射元件中有着不同的折射率 ,因此一个激光谐振腔变成了具有两个物理长度的谐振腔 ,从而产生双频激光。改变自然双折射元件或对YAG晶片施加的压力 ,可调谐频差。实验中获得 10 9Hz量级的大频差 ,合成波长可到几十毫米 ,适用于绝对距离干涉测量     

干涉条纹移动的偏振法

本文根据二个椭圆偏振光场进行的理论分析,着重讨论了两个相互正交的圆偏振光(左旋和右旋〕场和一个椭圆偏振光与线偏振光场的特点,以此为基础讨论了干涉条纹移动的偏振法。     

Interference of white light in tandem configuration of birefringent crystal and sensing birefringent fiber

Spectral interference of white-light beams propagating through a tandem configuration of birefringent crystal and sensing birefringent fiber is analyzed theoretically and experimentally. The spectral interference law is expressed analytically under the condition of a Gaussian response function of a spectrometer taking into account the dispersion of birefringence in the crystal and in the fiber. Two types of spectral interferograms are modeled knowing dispersion characteristics of the sensing fiber and using a quartz crystal of the positive or a calcite crystal of the negative birefringence. The theoretical analysis is accompanied by two experiments employing a highly birefringent fiber and a birefringent quartz crystal of two suitable thicknesses. Within both experiments the spectral interference fringes are resolved in accordance with the theory with phases dependent on the fiber length.     

变线距光栅线密度的干涉测量

变线距光栅在同步辐射装置、激光核聚变装置上有着广阔的应用前景，它的制作和检测方法尚未成熟。用干涉法测量变线距光栅的线密度，给出了测量原理、实验中的光路、数据处理的方法、测量结果。在待测光栅表面，衍射光干涉条纹的数量和密度是入射光干涉条纹和倍增后光栅的刻线之差。采用共光路的方案，使光路具有很强的抗干扰能力。用中值滤波消除干涉图像中的干扰。针对不同的干涉条纹，讨论和比较了两种测量方法，提出相对密度不变性。证明了干涉法完全可以用于变线距光栅的线密度测量，并能达到一定的精度，初步解决了检测问题，认为这种方法也可以用于变线密度光栅的加工中。     

物光的偏振性对全息记录质量的影响

通过对菲涅耳三维漫反射全息记录光路中物光与参考光偏振状态的实验检测，发现线偏振的激光被不同表面材料的物体散射和漫反射后变成“部分偏振光”，几乎所有目标物都有显著的消偏振现象，全息干板上实际记录的是线偏振的参考光与“部分偏振”的物光形成的相干度较低的干涉条纹。物光偏振度的大幅度下降影响干涉条纹的衬比度，并增加全息图的噪声。给出实验方案和检测光路，采用在参考光路中插入1/4波片的方法，可充分利用非偏振物光各个振动方向的光能，提高条纹的衬比度。     

Fringes of equal tangential inclination by curvature-induced birefringence

A new kind of interference fringes, fringes of equal tangential inclination by curvature-induced birefringence, is presented. These are two-beam interference fringes produced by bending a thin sheet of birefringent material into a part of an exact cylinder such that the curvature is constant. Due to this curvature there is a uniform birefringence being induced. The change in birefringence induced by applying different radii of curvatures to a Fortepan sheet is measured. The stored (fixed) or natural birefringence of this sheet is deduced.     

Interferometric determination of the refractive indices and birefringence of some highly oriented fibres

Variable wavelength interferometric technique (VAWI) is a direct method for determining the refractive indices and birefringence of highly oriented fibres. This method uses the polarizing interference Pluta microscope with a monochromatic light from wedge interference filter that provides a continuously variable wavelength. The standard calibration process of the Pluta polarizing interference microscope is carried out and a calibration graph is obtained. The refractive indices and birefringence of PEN, CONEX and TECHNORA were measured over the visible range of the spectrum and the constants for the Cauchy's dispersion formula were determined. The oscillation and dispersion energies were calculated from the measurements of the refractive index.     

一种液晶透镜盒间隙的测试方法

针对当前液晶透镜盒间隙测试存在的难题, 文中提出采用线偏振干涉法测试方法, 采用光强均匀分布的单色光入射, 检偏器的偏光轴方向与起偏器的偏光轴垂直或者平行, 液晶透镜的液晶取向层的摩擦方向与起偏器偏振轴夹角为45°, 此时干涉条纹亮暗差别最明显. 利用液晶透镜中心保持预倾角不变的透过率以及其他位置透过率最大值来计算液晶透镜的盒间隙, 该方法简单、可靠, 因采用光学手段测试, 其精确度相对较高. 关键词： 液晶透镜 盒间隙 线偏振光干涉 透过率     

Complementary interference method for determining optical parameters of liquid crystals

ABSTRACT

Wedge cells of small apex angle, filled with liquid crystals, were used to determining optical characteristics as functions of temperature for three liquid crystalline mixtures recently produced and a reference nematic. The interference fringes appearing in polarised monochromatic light (of sodium yellow line) normally incident on the cell were exploited to measure the ordinary and extraordinary refractive indices in the reflection mode and birefringence in the transmission mode. The measurements were repeated using Abbe's refractometer for 6CHBT as the reference to verifying the precision. Additionally the order parameter was computed from birefringence as a function of temperature. The results confirm the usefulness of the method and provide the properties of two nematic liquid crystals of small and large birefringence and one smectic liquid crystal of medium birefringence, recently produced. The experimental systems served also to investigating phase transition between the liquid crystals and the isotropic liquid at near-clearing temperature.     

基于多级组合棱镜提高激光中心波长检测精度的研究

为了在保证抗干扰能力不下降的条件下提高对激光中心波长的检测精度,设计了多级组合棱镜系统,并提出了多级组合棱镜的干涉条纹拼接处理方法及相位耦合的计算公式.通过计算多级组合棱镜的干涉图强度、光程差函数及光谱分辨率,分析了采用三块子棱镜的组合结构的光谱获取,给出了用于分段干涉条纹拼接的处理方法及步骤,最终光谱分辨率可达2.8...     

用偏光干涉法动态测量扭曲向列型液晶指向矢

提出一种基于双折射晶体劈的偏振态实时测量方法,并将该方法用于扭曲向列型液晶透射光的偏振态分析,实现了液晶分子平均指向矢的动态测量.利用基于晶体劈的偏光干涉法将待测光的偏振参量编码为两组干涉条纹,通过对干涉条纹定位实现偏振态的实时测量;再根据液晶指向矢的倾角、扭转角与透射光偏振态之间的关系,推算出液晶分子平均指向矢的动态信息.本实验测量液晶指向矢的速度为每秒5次,液晶平均指向矢的倾角、扭转角的测量准确度达到0.2°.本文研究为液晶分子平均指向矢的动态测量提供了一种有效途径.     

Mean-square coherent light

Mean-square coherent light is defined as light that is able to interfere with fringes of unit visibility when its electromagnetic field is multiplied by appropriate nonsingular deterministic Jones matrices. It includes light that satisfies the factorization condition at order one and partially polarized light that leads to interference fringes of unit visibility. A necessary and sufficient experimentally measurable condition to determine if two electromagnetic fields are mean-square coherent is established. Furthermore, different properties of partially polarized mean-square coherent light are discussed, such as its relation to the factorization condition and its evolution with propagation.     

利用激光干涉测钢丝的杨氏弹性模量

分析了在洛埃镜干涉装置中等效双狭缝间距变化对干涉条纹密度的影响。导出了钢丝因受力引起的绝对伸长量与干涉条纹密度变化之间的关系 ,并通过它计算了钢丝的杨氏弹性模量。结果表明 ,激光干涉法不仅比光杠杆法测量的量要少 ,而且用该方法通过测微目镜测条纹的位置要比光杠杆法通过望远镜对标尺读数精确 ,其测量结果要比光杠杆法更准确可靠     

A novel technique for measurement of self-generated magnetic fields and the plasma density in laser produced plasmas from the Faraday rotation using two color probes

Diagnostic information about the self-generated magnetic fields (SGMF) generated in laser produced plasmas is normally obtained by measuring the Faraday rotation angle (FRA) of a linearly polarized laser probe beam passing through the plasma. Simultaneous recording of the corresponding interferogram is required to get the density information necessary for estimating the magnetic field. The problem with this method is that the visibility of the fringes in the interferogram can be poor, and the SGMF cannot be calculated in the regions where the interference fringes are not observable. In this paper, we propose a new method to obtain the density distribution and the SGMF from two simultaneous measurements of FRA using two probe beams of different colors, which allows one to calculate the SGMF without the need of interferometry.     

利用菲涅耳双镜测金属线膨胀系数

分析了菲涅耳双镜在干涉实验中 ,由金属受热膨胀引起的光源位置变化对干涉条纹的影响 ,导出金属受热时绝对伸长量与干涉条纹位置变化之间的关系 ,并通过它对黄铜棒的线膨胀系数进行测量。