毛细管干涉仪的理论分析

从几何光学出发,推导了毛细管干涉仪的从柱面透镜到接收屏的光线的光程．对光线追迹模拟,结果表明毛细管干涉仪的干涉条纹的形成可用双光束的干涉来解释．从柱面不同位置入射的两条光线可能具有相同的光程,而且从柱面透镜不同位置出发的两条光线可能到达接收屏的同一点,当它们满足相干条件时,就会形成干涉条纹．建立了干涉条纹的计算机模拟程序, 模拟了毛细管中液体折射率、毛细管内径、外径对干涉条纹的影响. 结果表明实验中应使用薄壁毛细管, 由于干涉条纹对柱面透镜到毛细管之间的距离非常敏感, 为提高精度, 建议在实验中用已知折射率的标样来确定这一距离.     

LFI法测量半透明油的折射率

LFI方法曾被用来测量大直径光纤的折射率.用一半盛油一半为空气的毛细管代替光纤,并用聚焦的条形光束照射毛细管,空气与油的干涉条纹同时产生.根据空气的条纹可以确定参数b,根据一组已知折射率的标准样品可确定另一参数c,同时可以建立标准液体最外条纹的偏折角与折射率的标准曲线.对于未知折射率的样品,一旦测量出其最外条纹的偏折角,从标准曲线上就可以读出其折射率.实测了一组半透明油的折射率,其结果与阿贝折射仪测量结果接近.     

放气系统流场的光学干涉测量

对于复杂的非定常流动,流场的测量往往要求无干扰、非接触,并且能够瞬时记录流场的信息。采用光干涉方法对放气系统流场的气压变化进行了测量。在加压法测量空气折射率的迈克尔逊双光束干涉实验装置中,引入特制激光功率计和孔状光阑,记录在自由放气过程中等倾条纹中心强度变化与时间的关系曲线,通过折射率与压强和质量流之间的对应关系,进行流场流速的无干扰、非接触的瞬时测量。实验证明这种测量方法响应度好,准确度高。     

System for measuring optical admittance of a thin film stack

A new method based on the polarization interferometer structure has been applied to measure the optical admittance, the refractive index and thickness of a thin film. The structure is a vibration insensitive optical system. There is one Twyman-Green interferometer part to induce a phase difference and one Fizeau interferometer part to induce the interference in the system. The intensities coming from four different polarizers were measured at the same time to prevent mechanical vibration influence. Using the polarization interferometer, the optical admittance, the refractive index and thickness of a single layer of Ta₂O₅ thin film has been measured. The measurement results were compared with the results obtained by ellipsometer. The results meet reasonable values in both refractive index and thickness.     

Determination of the refractive index profile of polymer optical fiber preform by the transverse ray tracing method

In graded-index polymer optical fiber (GI-POF), the refractive index profile is an important parameter in defining its bandwidth. However, direct determination of the refractive index profile of GI-POF is difficult due to its extreme thinness. In this study, the refractive index distribution of the GI-POF is indirectly determined by measuring the refractive index distribution of the GI-POF perform by applying the transverse ray tracing method to a simplified measurement system that we developed.In this system, a parallel tabular ray is irradiated transversely to a GI-POF preform. The transverse ray from the preform is then projected on a screen, and its digital image is processed to calculate the refractive index distribution. The calculation is based on a transverse ray simulation, a computer program that we developed in which the refractive index distribution of the preform is determined by comparing the displacement of the transverse ray projected on the screen with the actual measurement.The accuracy of this new measurement method is validated by comparing the refractive index distribution of a GI-POF preform with the refractive index distribution measured by the conventional method using an interferometer. We find that the refractive index distribution measured by this novel method agrees well with that measured by the conventional method.     

Theory of an X-ray interferometer in the form of an array of planar compound refractive lenses

The results of theoretical analysis of the interference pattern created by an X-ray multilens interferometer in the case of an arbitrary number of planar compound refractive lenses are presented. The full widths at half maximum of the resonance peaks in the transverse and longitudinal directions relative to the direction of synchrotron radiation are calculated at distances corresponding to the fractional Talbot effect. A relation between the widths is shown to exist that is very close to the width relation in the case of focusing by a single lens. A difference between the fractional and full Talbot effects is discussed, and the necessary conditions for the transverse and longitudinal coherence of radiation are analyzed, the satisfaction of which guarantees that undistorted interference peaks will be observed experimentally.     

Determining the opto-mechanical and geometrical properties of high-density polyethylene fibres

A method is described to determine the opto-mechanical and geometrical properties of high-density polyethylene, HDPE, fibres at the same time for the same region from the fibre. Variations of the transverse sectional shapes, areas, optical and mechanical properties of fibres during the cold drawing process were investigated. A rotator-mechanical drawing device was used for rotating the fibre around its longitudinal axis during the cold drawing process. The Pluta polarizing two-beam interference microscope was attached with the rotator-mechanical drawing device for detecting these variations under the interferometer. The rotator-mechanical drawing device permits determining the tensile stress–strain curve, Poisson's ratio and strain optical coefficient for HDPE fibres. Also, it permits determining the refractive index profile of the drawn fibres taking into considering the transverse sectional area and the enclosed area under the fringe shift. The optical orientation factor and orientation angle was calculated for HDPE fibre to clarify the orientation of molecules during the cold drawing process. Microinterferograms are utilized for illustrations.     

A comparative study of spliced optical fibers

A fusion-spliced optical fiber is examined with a laser sheet of light. A CCD camera is used to record the transverse interference pattern from the fiber. The buckling on the fiber material in one direction of the spliced point is distinct inside the transverse interference pattern. The refractive index profile inside the fiber core, obtained at different illumination directions, is calculated using a new method showing the change in the refractive index due to fusion splicing of the fiber. A simple theoretical model is introduced to simulate the anomalous behavior in the transverse interference fringes due to a slight change of the optical parameters.     

Tapered Mach–Zehnder interferometer based on two mechanically induced long-period fiber gratings as refractive index sensor

A Mach–Zehnder interferometer formed in single mode fiber is implemented. The interferometer is built by two mechanically-induced long-period gratings. In addition, a fiber taper in the middle section is inserted. The spectral properties of the whole system are analyzed. Visibility of the interference fringes up to 0.80 (the higher ever reported using mechanically-induced long-period gratings) with fringe spacing in the 4.1 to 0.86 nm range are experimentally demonstrated. The proposed device allows reducing the fiber diameter of the section between gratings with a minimal effect in the interference fringe spacing. The sensitivity of the interferometer to external refractive index changes was also studied. It is experimentally shown that, due to the nature of the cladding mode excited, it is necessary to taper the fiber to improve the system sensitivity to external refractive index. Fiber tapers with different diameter, inserted between the long-period gratings pair were fabricated and tested for measuring external refractive index changes. A maximum resolution of 2.3×10^?4 RIU in a refractive index range from 1.36 to 1.402 is achieved.     

迈克尔逊干涉仪测量液体的折射率及仪器调节方法

本文介绍了用迈克逊干涉仪测量液体折射率的方法，原理简单。在干涉仪导轨上平放一方形玻璃容器，内装待测液体，动镜铅垂地浸没在液体中。通过测出动镜在液体内的移动量及其相应的干涉条纹变化数，就能计算液体的折射率，有较高的测量精度。本文详细分析了干涉仪上分光板的反射光通过空气、玻璃、液体，由反射镜反射后出现的多个反射光点，只有通过对这些反射光点的调节，才能得出干涉条纹并符合计算公式的要求。     

光学材料光学不均匀性绝对测量误差分析

绝对测量技术去除了干涉仪参考面面形误差,可实现光学材料光学不均匀性的高精度测量。对现有主要光学材料光学不均匀性绝对检测技术进行了总结比较,针对像素错位、干涉图分辨率、干涉仪测量重复性、样品厚度以及折射率测量等因素对光学不均匀性绝对检测的影响进行了实验分析。实验结果表明:干涉仪重复性是光学不均匀性测量的主要误差。样品翻转测量法、样品直接透射测量法、平行平板样品测量法3种测量方法均可实现光学不均匀性（RMS）10-8检测精度。     

应用电光调制干涉系统对甲烷气体浓度监测的研究

对甲烷气体浓度的监测应用领域很多,而目前绝大多数采用的是化学反应方法,存在安全性低、稳定性差等缺点,而采用光学干涉法定性定量分析稳定性高、抗干扰能力强。设计了电光调制的干涉系统进一步提高其探测精度。在干涉系统中,利用可变折射率晶体LiNbO₃的电光调制特性,对晶体折射率进行调制,增大静态光程扫描范围,提高光谱分辨率。系统对晶体两侧分别加载相位相反的调制信号,使其在不改变干涉具尺寸的条件下提高光谱分辨率。通过推导折射率调制度与光程差的函数关系,仿真计算可知比同尺寸干涉系统光谱分辨率提高了近一个数量级。实验采用SGT-3型声光调制器,1 650 nm红外激光器对不同浓度的甲烷气体进行检测,实验结果显示,此方法比传统的热释电法精度好、稳定性高,更适合在矿井等复杂环境下应用。     

Broadband near-infrared fibers dispersion measurement using white-light spectral interferometry

A new technique for an experimental determination of the effective refractive index, group refractive index and dispersion of fibers in a broad near-infrared spectral range is presented. The method is based on a white-light spectral interference which utilizes an unbalanced Michelson interferometer. The effective refractive index is obtained by a direct fitting the cosine function to the spectral interference pattern recorded by a low resolution spectrometer. The method has been tested in the spectral range of 1000-1700 nm both with standard telecommunication fibers and a sample of a photonic fiber. The accuracy of dispersion measurement () exceeds those from the previously reported near-infrared white-light spectral interference methods.     

Wavelength Sweep Interferometry for Measuring the Refractive Index and Physical Thickness

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基于Mach-Zehnder干涉仪的光纤气体传感器理论

提出了一种基于马赫-曾德尔(Mach-Zehnder)干涉仪的光纤气体传感器。由于Mach-Zehnder干涉仪具有抑制光源噪声和模式噪声的特点,在高精度测量中越来越受到重视。在干涉仪的传感臂上涂有对待测气体敏感的薄膜,由于气体与敏感层的作用,导致光纤纤芯折射率发生变化,两臂的相位差发生变化,并引起干涉仪输出光强的变化和干涉条纹的平移,平移量与气体浓度对应。根据杨氏双缝干涉的理论,利用MATLAB对该研究进行计算机仿真,绘制出单色光的杨氏干涉图样和光强分布曲线,及气室中通入一定浓度的待测气体使干涉图样产生平移。     

Determination of the optical and geometrical properties of fibres having skin–core structure

A method is suggested to determine both the refractive index and the transverse sectional shape and area of fibres, having skin–core structure, at the same time for the same region of the fibre. The method depends on using a fibre rotator device attached with Pluta polarizing interference microscope, to record the variation of the fibre thickness at each angle of rotation. Nylon 6 fibres having skin–core structure were used in this study. Beck-line method was used to determine the refractive index of the skin for light vibrating parallel and perpendicular to the fibre axis. To confirm the results of the suggested method, the optical microscope was used to determine the transverse sectional shapes of bundles of nylon 6 fibres. The mean refractive indices of the skin and core of nylon 6 fibres were determined. Microinterferograms are given for illustration.     

Wavelength Sweep Interferometry for Measuring the Refractive Index and Physical Thickness

A method combining wavelength sweep interferometry with the Fourior transform technique to perform the separate measurements of the physical thickness and the refractive index is proposed. By converting the optical path difference of the interferometer to the beat frequency of the interference signal we realize the depth scanning without mechanical moving parts. The effect of specimen dispersion is avoided by using a narrow tuning laser diode. For demonstrating this method we measure the physical thickness and the refractive index of an x-cut LiNbO3, BK9 and BK7 glass, and the results consist with the reported values.     

An enhanced common path interference optic measurement system for refractive indices and thickness

This study proposes a common path interference optical system for the measurement of refractive indices and thickness of uniaxial crystal material. The measurement system comprises an accurate Mach–Zehnder laser interferometer, a single-axis rotary stepping motor, and a computer. The laser interferometer is composed of a single-frequency He–Ne laser, two-beam splitters and two reflectors. The Mach–Zehnder laser interferometer measures the optical length difference by using its linear measurement accuracy. The proposed solution procedure enables both the refractive indices and the thickness of the optical waveplate to be obtained. The proposed design differs from conventional designs in that it does not use a heterodyne modulator with a lock-in technique. It is shown that the refractive indices and thickness of the tested optical elements can be measured rapidly and accurately.     

使用红外干涉仪测量红外材料折射率

使用自行研制的泰曼型红外干涉仪测量红外材料的折射率.在干涉仪的测试臂中加一个旋转台,将被测件放在旋转台上旋转,在旋转过程中经过被测件的光程发生改变,导致干涉条纹发生移动,通过测量条纹的移动数和被测件的旋转角度来计算出被测件的折射率.测量结果显示,25 °C时在10.6 μm波段处锗单晶的折射率为4.003,硫系玻璃锗砷硒（GeAsSe）的折射率为2.494.折射率测量的误差在10－3量级,增加被测件的厚度会进一步提高折射率的测量准确度,待测红外材料的折射率越低,测量准确度越高.     

用毛细管成像法测量液相扩散系数——等折射率薄层测量方法

本文提出了一种测量液相扩散系数的新方法. 该方法用透明毛细管构成液相扩散池, 利用毛细管成像法特有的折射率空间分辨测量能力, 通过直接观察和记录扩散介质的等折射率薄层在毛细管中的移动规律, 基于扩散过程遵循的Fick第二定律计算出液相扩散系数. 在25 ℃下研究了丙三醇和纯水间的扩散过程, 扩散系数的测量值与全息干涉法的文献报道值之间的相对误差为4.47%, 论文同时分析了折射率测量精度和毛细管管壁黏滞力对扩散系数的影响. 用毛细管成像法测量液相扩散系数具有样品需要量少、测量速度快、系统稳定性好的特点, 为快速测定微量样品的扩散系数提供了一种有效的新方法. 关键词： 扩散系数 液体折射率 毛细管成像法