One-shot birefringence dispersion measurement based on channeled spectrum technique

A one-shot method for measuring birefringence dispersion has been proposed that utilizes two retarders having different high-order birefringences. The intensity distribution of a channeled spectrum changes with different frequencies as a function of wavenumber. An intensity distribution is sufficient to determine the birefringence dispersion using the amplitude and phase components obtained by applying the fast Fourier transform. Experimental results demonstrate that this technique can measure the wavelength dependences of both the azimuthal angle and the retardation.     

平行-混合排列透反式液晶显示模式的原理研究

为了同时获得具有高透射率和反射率的液晶显示器,提出了一种采用平行排列模式与混合排列模式相搭配的单倍盒间距的透反式液晶显示模式.基于液晶盒的初始取向,反射区为混合排列模式,其光程差为透射区平行排列模式的一半.利用单轴膜补偿的方法可以实现宽光谱响应,并且采用不同相位延迟的补偿膜可以使器件工作于常黑模式和常白模式.模拟结果表明：两种工作模式均可实现宽光谱响应,透射与反射电光响应曲线基本趋于一致;在40°方位角度范围内具有很好的可视特性,无灰度反转.     

Surface-anchoring properties related to the distribution of polyimide chains in a twisted nematic liquid-crystal cell

On the basis of a general Rapini and Papoular equation and the unified surface-anchoring energy, surface-anchoring strength is newly defined theoretically as a function of the azimuthal deviation angle of the surface liquid-crystal directors and the statistical distribution of polyimide chains in a typical twisted nematic liquid-crystal cell. Then these are determined experimentally by the surface second-harmonic generation method, which is nonlinear optics, and the optical phase retardation method. We assume that the anisotropy distribution of polyimide chains induced by the rubbing strength is dominated by a Gaussian distribution around the rubbing direction.     

A spiral wave front beacon for underwater navigation: basic concept and modeling

A spiral wave front source produces an acoustic field that has a phase that is proportional to the azimuthal angle about the source. The concept of a spiral wave front beacon is developed by combining this source with a reference source that has a phase that is constant with the angle. The phase difference between these sources contains information about the receiver's azimuthal angle relative to the beacon and can be used for underwater navigation. To produce the spiral wave front, two sources are considered: a "physical-spiral" source, which produces the appropriate phase by physically deforming the active element of the source into a spiral, and a "phased-spiral" source, which uses an array of active elements, each driven with the appropriate phase, to produce the spiral wave front. Using finite element techniques, the fields produced by these sources are examined in the context of the spiral wave front beacon, and the advantages of each source are discussed.     

Mean spin direction and spin squeezing in superpositions of spin coherent states

We consider the mean spin direction (MSD) of superpositions of two spin coherent states (SCS) | ± μ〉, and superpositions of | μ〉 and | μ*〉 with a relative phase. We find that the azimuthal angle exhibits a π transition for both states when we vary the relative phase. The spin squeezing of the states, and the bosonic counterpart of the mean spin direction are also discussed.      

A phase quadrature interferometer for measuring the small optical rotation angle of a chiral medium

The passage of a linearly polarized beam through a chiral material and a phase retarder will induce a phase difference between the s and p polarizations of the beam. In this study, a phase quadrature interferometer is designed to measure the phase difference variation proportional to the optical rotation. The proportionality constant (or measurement sensitivity) can be greatly enhanced by setting the retardation of the phase retarder close to 0° or 180°. The experimental results demonstrate that with our system we can obtain a measurement resolution for the rotational angle of better than 3.5° × 10⁻⁴. This method has several advantages such as a simple optical setup, easier operation in real time, and low cost. In addition, due to the common-path arrangement, surrounding noise can be eliminated.     

Measurements of phase retardation and principal axis angle using an electro-optic modulated Mach–Zehnder interferometer

This paper presents an electro-optic modulated circular heterodyne modified Mach–Zehnder interferometer and a convenient two-phase signal-processing algorithm for the measurement of variations in the magnitude of phase retardation and the angle of principal axis in optical materials. The developed method solves the problems of normalized intensity jump and limited phase retardation measurement range associated with the circular heterodyne interferometer proposed previously. The present method uses a saw-tooth wave signal to drive an electro-optic (EO) modulator, and employs a lock-in amplifier to demodulate the principal axis angle and the phase retardation. Specifically, this paper considers two main sources of measurement errors, namely the misorientation of the EO modulator and the reflection phase retardation of the beam splitter. Furthermore, the study develops calibration procedures and identifies a means to minimize measurement errors induced by the reflection phase retardation of the beam splitter.     

MC模拟在随钻方位伽马成像正演中的应用

蒙特卡罗模拟是放射性测井一种重要的数值模拟方法,利用通用程序MCNP可方便地建立各种地层模型,为放射性测井研究提供了简便有效的方法。借助于蒙特卡罗方法建立随钻条件下地层模型,正演模拟随钻方位伽马成像特征。结果表明,随钻方位伽马成像图呈现正弦线特征,利用成像图可准确反演井眼相对倾角和放射性地层厚度;井眼相对倾角越大,放射性地层厚度越厚,成像图的正弦线高度值及在井轴方向上的展布高度值越大;井眼尺寸对利用成像图求取井眼相对倾角没有影响,但对计算放射性地层厚度有影响,仪器偏心对利用成像图求取井眼相对倾角和放射性地层厚度都有较大影响,若伽马计数满足测井计数统计性,可忽略井眼流体对成像图的影响。     

An improved reflectometric method to measure the azimuthal anchoring energy of nematic liquid crystals

Some years ago we developed an automatized reflectometric method to measure the surface azimuthal anchoring energy of nematic liquid crystals on an optically isotropic substrate. This method provides a high accuracy and sensitivity but requires the use of wedge glass plates and a sufficiently high anisotropy of the intensity reflectivity coefficients. This latter condition restricts greatly the number of possible substrates that can be investigated with this technique. Here we develop a new reflectometric method which offers comparable or better accuracy and sensitivity but does not require wedge plates and high anisotropy of the reflectivity coefficients. The method is fully automated and provides a direct measurement of the azimuthal director angle. The experimental procedure exploits the dependence of the reflectivity tensor on the surface director orientation. The measurement of the azimuthal angle does not require any knowledge of the optical parameters of the nematic material and of the optically isotropic substrate, and provides an absolute accuracy better than 0.2^° in the whole range 0-360^° and a sensitivity better than 0.1^°. This reflectometric method can be also used with weakly anisotropic substrates as well as thin rubbed polymeric layers. In this latter case, the effective uncertainty in the measurement of the director azimuthal angle depends on the substrate anisotropy. A simple and direct experimental procedure to estimate this uncertainty is proposed. Received 8 January 2002 and Received in final form 27 February 2003 / Published online: 15 April 2003 RID="a" ID="a"e-mail: faetti@df.unipi.it     

Accurate heterodyne interferometric ellipsometer

We describe a heterodyne interferometric ellipsometer which requires only a single reflection from the sample surface. A simple arrangement is described that enables a reference beam to be created in one arm of a modified Mach–Zehnder interferometer such that the p- and s-polarisations in this arm have a common phase and fixed relative amplitude, irrespective of the sample. When this beam is recombined interferometrically with the measurement beam, the spatially separated p and s fringes have an amplitude ratio and relative phase that are directly proportional to tanψ and Δ, respectively. Adjusting the azimuthal angle of the input linear polarisation allows both ψ-tracking to be implemented and error reduction through averaging. Measurements made with this instrument of a native oxide layer on a silicon substrate are in excellent agreement with those obtained using a commercial ellipsometer.     

3～4μm光参量振荡器中双轴晶体计算的新方法

提出了一种光参量振荡器(OPO)中基于调谐范围中心波长处满足相位匹配条件的KTP晶体计算的新方法;该方法通过求出的相位匹配点对有效非线性系数进行数值计算,找出有效非线性系数的最大值,从而求出该点对应的相位角θ和方位角φ,确定出晶体的切割角.     

高精度消色差相位延迟器的新设计

消色差相位延迟器是在某一宽度光谱范围内使用的光相位延迟器件。从相位延迟的全反射相变理论出发,对斜入射消色差相位延迟原理进行阐述,参考菲涅耳棱镜的具体设计形式,对引起相位延迟变化的参量进行分析,通过选择合适的材料新设计出了特殊角度入射的高精度相位延迟器,其理论曲线显示,在365~1150nm的光谱区域内延迟偏差小于0.4°,是常规相位延迟器在相同条件下的五分之一,是一种宽广谱范围内、负延迟偏差小、精度高的消色差相位延迟器。     

The new circular heterodyne interferometer with electro-optic modulation for measurement of the optical linear birefringence

We present a new circular heterodyne interferometer with electro-optic modulation for measurement of the optical linear birefringence. It enables the measurement of not only the phase retardation but also the principal angle. The measurement procedure is carried out in two steps. In the first step of measurements, we use the electro-optic modulated circular heterodyne interferometer and the phase-lock technique to precisely measure the principal axis angle. After rotating the analyzer in the setup, the phase retardation is determined also by the phase-lock technique. The compact configuration requires only a photodetector and two simple phase-lock extractions to determine the principal axis angle and the phase retardation. The validity of the proposed design is demonstrated by measurement of the principal axis angle and phase retardation of a quarter-wave plate sample. The root-mean-square resolutions for the principal axis angle and phase retardation are found to be 0.0396° and 0.0796°, respectively, with corresponding dynamic ranges of 0–180° and 0–180°.     

Measurement of azimuthal asymmetries in neutral current deep inelastic scattering at HERA

The distribution of the azimuthal angle of charged and neutral hadrons relative to the lepton plane has been studied for neutral current deep inelastic ep scattering using an integrated luminosity of 45 pb^-1 taken with the ZEUS detector. The kinematic range is 100<Q²<8000 GeV², 0.2<y<0.8 and 0.01<x<0.1 where Q² is the virtuality of the exchanged boson, y is the inelasticity and x is the Bjorken variable. The measurements were made in the hadronic centre-of-mass system. The analysis exploits the energy-flow method, which allows the measurement to be made over a larger range of pseudorapidity compared to previous results. The dependence of the moments of the azimuthal distributions on the pseudorapidity and minimum transverse energy of the final-state hadrons are presented. Although the predictions from next-to-leading-order QCD describe the data better than do the Monte Carlo models incorporating leading-logarithm parton showers, they still fail to describe the magnitude of the asymmetries. This suggests that higher-order calculations may be necessary to describe these data.     

Nonlinear theory of beam excitation of azimuthal surface modes in plasma-filled cylindrical metal waveguides

It is shown that electromagnetic surface waves propagating along the azimuthal angle can be excited efficiently by an annular electron beam in a cylindrical metal waveguide partially filled with a magnetoactive plasma. A self-consistent system of differential equations is obtained to describe the nonlinear interaction between the beam particles and an azimuthal surface wave in the single-mode regime. This system of equations is analyzed numerically and the influence of the parameters of this waveguide structure on the development of the resonant beam instability is determined. Zh. Tekh. Fiz. 69, 84–88 (July 1999)     

菱体型消色差相位延迟器延迟相位的方位效应

菱体型相位延迟器是高度消色差的λ/4相位延迟器.由于材料折射率色散的影响,在可见光范围内,仍存在2°的延迟偏差.为满足精确应用和测量的需求,从相位延迟的全反射相变理论出发,阐述了斜入射相位延迟原理,以菲涅耳菱体为例,分析了菱体型相位延迟器相位延迟随其入射角变化的规律性,结果表明:当光线非严格准直时,光的入射角对相位延迟量有明显的影响,延迟量不但对入射角变化敏感,而且还与入射光线的入射方位密切相关,呈不对称形式.当入射光的波长改变时,只需改变菱体延迟器的方位,让光线在菱体的前端面上斜入射,适当选取入射角,就可以补偿相位延迟的色散偏差,使同一菱体达到对不同波长都满足λ/4相位延迟.当角度调整精度Δi=±0.01°时,引入的延迟偏差不超过±0.009°,这一精度是其它石英波片或云母波片所不能比的.     

Connecting Spin and Statistics in Quantum Mechanics

The spin-statistics connection is derived in a simple manner under the postulates that the original and the exchange wave functions are simply added, and that the azimuthal phase angle, which defines the orientation of the spin part of each single-particle spin-component eigenfunction in the plane normal to the spin-quantization axis, is exchanged along with the other parameters. The spin factor (?1)^2s belongs to the exchange wave function when this function is constructed so as to get the spinor ambiguity under control. This is achieved by effecting the exchange of the azimuthal angle by means of rotations and admitting only rotations in one sense. The procedure works in Galilean as well as in Lorentz-invariant quantum mechanics. Relativistic quantum field theory is not required.     

THz wave polarization-controlled spectroscopic imaging for anisotropic materials

We present a polarization-controlled terahertz (THz) wave spectroscopic imaging modality to investigate the anisotropy of the detected materials. The polarization of the emitted THz wave is controlled by changing the relative phase between the fundamental and second-harmonic waves in the two-color laser-induced air plasma THz generation configuration. The THz wave polarization direction is extracted by measuring the two electric field amplitudes when the polarization of the incident wave is controlled to be horizontal and vertical. The anisotropy of the industrial Sprayed-On-Foam-Insulation (SOFI) is characterized by measuring its azimuthal angle dependent THz polarization response. This work demonstrates that THz wave polarization-controlled imaging technique can be used for highly sensitive industrial nondestructive inspection and biological related characterization.     

Temperature dependence of terahertz radiation from n-type InSb and n-type InAs surfaces

The azimuthal angle dependence and the temperature dependence of terahertz (THz) radiation generated from n-type (111) InSb and n-type (111) InAs surfaces irradiated with ∼80 fs near-infrared laser pulses are investigated. The azimuthal angle dependence shows that the contribution of the difference-frequency mixing (DFM) is not dominant for both materials at the excitation density of ∼1 GW/cm². At an appropriate azimuthal angle, the radiation due to DFM is excluded from the total THz radiation and the temperature dependence of THz radiation due to the surge current is observed. The increase of THz radiation with decrease of the temperature is found to be much more pronounced for InSb than for InAs. The different temperature dependence can be attributed to the different radiation mechanisms dominant for both materials. Especially, the temperature dependence of the THz radiation from InSb is well explained by the photo-Dember effect. Received: 9 May 2000 / Revised version: 17 August 2000 / Published online: 5 October 2000     

基于最小二乘拟合的波片相位延迟测量

提出一种精密测量波片相位延迟的新方法.将待测波片置于起偏器和检偏器之间,通过步进电机控制波片匀速旋转,基于最小二乘法拟合出射光强随波片方位角变化的曲线,进而得到波片延迟.根据上述原理,建立了一套波片延迟测量系统,并分析了系统的稳定性、可测量的延迟范围、接收器件的非线性效应、系统误差源这4个影响测量精度的主要方面.结果表...