Internal Reflection Spectroscopy

Abstract

This review‐type article deals with small, stable, compact, inexpensive, and low‐resolution interferometers mainly based on continuous or back and forth rotational motion to create the optical path difference. These interferometers are suitable for low‐resolution Fourier Transform Infrared (FTIR) spectroscopy. The paper introduces the most typical interferometers illustrated with figures. For example, interferometers with retroreflectors such as corner cubes are presented. This work aims at developing a tilt compensated optical design where the optical path difference of the interferometer will be achieved with rotational scanning. The most important property of this optical design is large mechanical tolerances to make manufacturing easy and inexpensive. New interferometers based on rotational motion are described. The mechanical angle tolerances of these interferometers can be up to three orders of magnitude larger than the angle tolerances in commonly used corner cubes.     

孪生光束干涉法测量光源的空间相干性

定量测定光源空间相干性在部分相干光成像, 非相干全息术及光信息处理领域具有重要的研究价值. 本文基于三角全息干涉光路提出了一种测量光源空间相干性的新方法. 利用三角干涉全息光路系统中分束镜产生的孪生光束进行干涉获得干涉图, 通过调整光源中心位置在写入平面内偏离光轴的量, 改变两孪生光束空间分离量的大小, 采集对应的一系列干涉图, 计算干涉图样的对比度, 从而对光源照明空间的波前上一系列不同距离的点对之间的空间复相干度进行测量. 实验系统光路配置较为简单且不需要使用特殊加工的光学元件. 针对一个准单色的扩展光源设计并进行实验, 结果表明利用文中提出的方法可以准确的测量光源的空间相干性, 实验结果相对于理论计算值的误差仅为3.8%. 关键词： 相干性 全息干涉 干涉仪 光学应用     

一种基于光学倍乘原理的绝对距离干涉测量系统

介绍了一个基于光学倍乘原理的绝对距离干涉测量系统。系统包括两个干涉仪:采用半导体激光器作为光源的定位干涉仪和测量位移的外差干涉仪。介绍了光源的选择,系统的设计以及信号的采集和处理方案。采用这套绝对测量系统,可以实现长度为2m以内的绝对距离测量,定位精度可以达到±0.5μm。     

Absolute distance measurement by using modified dual-wavelength heterodyne Michelson interferometer

This study proposes a modified dual-wavelength heterodyne Michelson interferometer for measuring the absolute distance that can avoid the influence of wavelength drifts. This modified interferometer consists of two conventional Michelson interferometers. A standard plate is introduced in one arm of one Michelson interferometer. The phase differences of p- and s- polarization test lights in the two interferometers can be measured accurately by dual-wavelength heterodyne interferometry. Hence, the absolute distance can be determined by substituting the phase differences into special derived equations. Meanwhile, the test lights suffer from the same wavelength drift effect. Therefore, the negative effect caused by the drift can be offset, and the measurement stability can be significantly increased. The feasibility of this method was demonstrated with a measurement resolution of about 1.36 μm. Additionally, this method has a simple structure, easy operation and rapid measurement.     

一种用于光学平面面形误差绝对测量的新方法

本文探讨了一种可绝对测量光学平面面形误差的新方法,利用该方法可以消除或修正干涉仪测量光学平面面形误差时所存在的固有系统误差和参考光学平面本身的面形误差,同时也对干涉仪进行了绝对校准。     

光纤干涉仪臂差的测量

用白光干涉和Michelson干涉仪技术测量光纤Michelson干涉仪和Mach-Zehnder干涉仪的臂差.这种方法能在线测量任意长度的光纤干涉仪臂差,包括零臂差,测量的精度由光源的相干长度确定,为微米数量级.     

Measurement of surface figure of plane optical surfaces with polarization phase-shifting Fizeau interferometer

A Fizeau interferometer based set up for measurement of surface forms of plane optical surfaces has been discussed. Phase shifting interferometry has been applied using polarization phase shifter. A linearly polarized (632.8 nm) He–Ne laser has been used as the source. Light reflected from the object and the reference/master surfaces are made circularly polarized in opposite senses by means of two properly oriented quarter wave retardation plates placed at appropriate positions, one inside and other outside the interference cavity of the interferometer, and phase shifts are introduced between the object and the reference/master waves by varying angular orientation of a polarizer/analyzer. Final result is made free from any residual wave-front aberrations introduced by the (intra-cavity) wave plate by subtracting phase values obtained by PSI technique between a high optical quality master surface and the reference surface from that obtained for the test object surface with respect to the same reference surface for each point of the interference field. Results are shown for a plane surface.Advantages of the technique presented are linearity and high accuracy in phase stepping, no perturbation of the interference cavity during the phase shifting and possibility of real time or dynamic interferometry.     

干涉测量波面重构DCT算法研究

采用一种空间移相干涉仪测量凹形非球面反射镜光学表面,使用偏振元件和多幅图像同步采集实现移相,并对测量得到的干涉条纹采用基于离散余弦变换的相位解包裹算法,对不连续相位分布采用非加权的最小二乘法进行优化目标函数,最终重构出被测光学表面的面形.这种结构形式的干涉仪具有一定的抗振能力,同时在数字图像处理上优化了算法,能够快速稳定地得到被测面形,而且对硬件要求不高.结果表明:这种算法能够适用于非实验室条件下的光学测量,在一定干扰条件下可以达到较高的测量精度.     

Control of the spectral dependence of the output signal of a reflection interferometer with a noninverted instrumental function

The optical scheme of a simple resonator is transformed into a sequence of local interferometers. The phase length of a local interferometer is determined by the optical thickness of the thin-film dielectric coating on the surface of one of the mirrors. The spectral characteristic of the instrumental function is formed by parameter fitting. The experimental results are presented.     

基于散斑干涉的光滑表面变形快速检测

针对目前光滑表面力学性能测试困难的情况,建立了一种改进的数字激光散斑干涉测量系统。首先通过新的散斑干涉光路设计实现散斑照射,同时采用空间载波傅里叶变换法,对光滑零件加载变形的动态散斑干涉图像进行处理,最后得到光滑表面的变形场分布情况。该方法不对被测表面进行任何处理,可实现光滑表面的高精度全场变形测量。实验结果表明:最大变形处为镜面板的中央,测得最大变形量分别为1.936、1.861和1.797μm,与中心变形预设值接近。该方法光路简单、测量方案切实可行,能够实现光滑表面变形的快速动态测量。     

Mapping of the ocean surface wind by ocean acoustic interferometers

Measurements of marine surface winds are crucial to understanding mechanical and thermodynamic forces on the ocean. Satellite measurements of surface winds provide global coverage but are problematic at high wind speeds. Acoustic techniques of wind speed retrieval, and even for tracking hurricanes, have been suggested as an alternative since wind is a strong source of ambient noise in the ocean. Such approaches involve near-local measurements with bottom-mounted hydrophones located close to the area of interest. This paper suggests a complementary approach: measuring directivity of low-frequency ambient noise in the horizontal plane. These measurements would employ long vertical line arrays (VLAs) spanning a significant portion of the ocean waveguide. Two VLAs separated by a distance of some tens of kilometers and coherently measuring acoustic pressure form a single ocean interferometer. By sampling the area of interest from different perspectives with at least two interferometers, marine surface winds might be mapped over horizontal scales of the order of 1000 km with about 10 km resolution (more specifically, the 10 km resolution here means that contribution from the basis functions representing surface wind field with the scale of spatial variations of the order of 10 km can be resolved; independent retrieval of the wind within 10(4) cells of a corresponding grid is hardly possible). An averaging time required to overcome statistical variability in the noise field is estimated to be about 3 h. Numerical simulations of propagation conditions typical for the North Atlantic Ocean are presented.     

The Sagnac effect: 20 years of development in matter-wave interferometry

Since the first atom interferometry experiments in 1991, measurements of rotation through the Sagnac effect in open-area atom interferometers have been investigated. These studies have demonstrated very high sensitivity that can compete with state-of-the-art optical Sagnac interferometers. Since the early 2000s, these developments have been motivated by possible applications in inertial guidance and geophysics. Most matter-wave interferometers that have been investigated since then are based on two-photon Raman transitions for the manipulation of atomic wave packets. Results from the two most studied configurations, a space-domain interferometer with atomic beams and a time-domain interferometer with cold atoms, are presented and compared. Finally, the latest generation of cold atom interferometers and their preliminary results are presented.     

A system combining several interferometers to investigate spatial gas-dynamic phenomena and high-speed photography of axisymmetric processes

A system is described consisting of five compensated shear interferometers intended for observing a test object from various directions. Pulsed ruby lasers serve as light sources. While studying axisymmetric phenomena, the interferometer system is used for high-speed photography. Some interferograms are presented.     

基于波长移相剪切干涉的准直波前重构技术

为了实现干涉仪出射准直波前的重构,提出了基于波长调谐移相的横向剪切干涉技术。干涉仪出射波前分别经楔板的前后表面反射,通过角锥棱镜返回后在干涉仪CCD上形成剪切干涉条纹。采用波长移相方法提取剪切干涉条纹的相位信息从而实现准直波前重构。分析相对剪切比对波面重构精度的影响,推导相对剪切比和其影响因素间的关系公式,给出波长移相中光程差常数分量的估算方法。测量干涉仪的三组出射波前,波前的峰谷值分别为3.22λ、2.10λ、0.83λ。该方法简化了传统测量干涉仪准直波前的横向剪切干涉装置,提高了测量精度,特别适合于测量波长移相干涉仪的出射波前。     

The separation of out-of-plane displacement from in-plane components by fringe carrier method based on large image-shearing ESPI

A fringe carrier method for separating out-of-plane displacement from in-plane components based on large image-shearing electronic speckle pattern interferometry (ESPI) is presented. If the test object is respectively illuminated by two expanded symmetric illuminations in large image-shearing ESPI, two interferometers are formed. Carrier fringe patterns can be introduced by tilting reference surface a small angle. The carrier fringe patterns are demodulated after deformation of the object. Two phase maps, which include out-of-plane and in-plane displacement, can be obtained by using Fourier transform. Then out-of-plane displacement can be easily separated from in-plane displacement by simple operation between two unwrapped phase distributions. The principle of spatial carrier frequency modulation in large image-shearing ESPI is discussed. A typical three-point-bending experiment is completed. Experimental results are offered. The results show that the method offers high visibility of carrier fringes. And the system presented does not need a special beam as a reference light and has simple optical setup.     

Simulation of a Homodyne Quadrature Displacement Measuring Interferometer

Optics and Spectroscopy - Based on the Jones matrix formalism, the paper describes the optical scheme of a single-pass homodyne displacement measuring interferometer with a quadrature principle of...     

基于迈克尔逊干涉的傅里叶变换散斑形貌测量技术

提出了电子散斑干涉载频调制测量物体形貌的方法。采用典型的迈克尔逊干涉光路,将物体偏转一微小角度（等效为物面与参考面间形成空气楔）产生等厚干涉,可在物体的表面引入包含物体高度信息的载波干涉条纹。用CCD采集该载波条纹图,利用傅里叶变换法可解调出物体高度的位相信息,从而实现物体的形貌测量。介绍了电子散斑干涉载频调制测量物体形貌的原理,并进行了实物测量,给出了实验结果。由于该方法采用散斑干涉方法测量物体形貌,所以具有灵敏度高的优点。     

Interferometric precision measurements with Bose–Einstein condensate solitons formed by an optical lattice

We propose the precision measurement of both angular rotation and of the gradient magnetic of a field based on the use of matter wave interferometers with soliton states of a Bose-Einstein condensate (BEC). We consider the formation of these soliton states in a BEC with negative scattering length by an optical lattice produced by two counterpropagating laser beams. We determine the parameters of both the initial condensate and the optical radiation necessary for the formation of coherent solitons. We demonstrate that this interferometer can be used to measure magnetic field gradient with a precision of 10^-2 pT/cm. Our calculations show that the sensitivity of a gyroscope based on a ring, two-port matter wave interferometer can achieve 2.6×10^-7 rad s^-1. The precision of this method is more than ten times greater than in that of rotating interferometer with cooled atoms.     

In-Fiber Fabry-Perot and Mach-Zehnder interferometers based on hollow optical fiber fabricated by arc fusion splicing with small lateral offsets

Two kinds of in-line all-fiber interferometers, including tip Fabry-Perot interferometer and compact Mach-Zehnder interferometer, are proposed and demonstrated by fusion splicing a short section of hollow optical fiber (HOF) to the end of single-mode fiber (SMF) and sandwiching a section of HOF in between two sections of SMF, respectively. In both interferometers, a small lateral offset is introduced to induce the optical path difference required to form the interferometer. Temperature responses of both types of interferometers are studied experimentally. It is anticipated that such easy making, compact and low-cost fiber-optic interferometers could find important applications in practice.     

Spectral-domain tandem interferometry to measure the group dispersion of optical samples

A spectral-domain technique based on tandem interferometry is used for measuring the group dispersion of optical samples over a wide wavelength range. The technique utilizes a tandem configuration of a Michelson interferometer and an unbalanced Mach–Zehnder interferometer with a sample inserted into its test arm. First, the theoretical background of the technique is presented and then experiments with individual interferometers and their tandem configuration are specified. In all the experiments the spectral signals are recorded to measure the equalization wavelength as a function of the path length difference, or equivalently the group dispersion. We measure the group refractive index as a function of wavelength for a glass sample of known thickness and for a quartz crystal as well.