琼斯矩阵在分布式光纤传感器偏振态分析中的应用

针对基于Sagnac原理的分布式光纤传感器中光波偏振态在双折射影响下所带来的干涉信号"偏振诱导衰落"问题,运用琼斯矩阵分析法,建立了传输光偏振态影响系统功率传输系数的数学模型;根据仿真分析的结果,发现使用反射镜作为反射元件,只能消除光纤圆双折射的影响,而不能消除线性双折射的影响.因此,提出了使用法拉第旋转镜提高系统抗偏振衰落能力的改进方法,仿真结果表明可以很好地消除传感光纤的线性双折射和圆双折射的影响.     

Polarization-based tunable interferometric filter

A polarization-based tunable interferometric filter essentially consisting of a two-beam interferometer with birefringence elements is described. The analysis of the filter is done through the concept of a geometric phase in optics-namely, the Pancharatnam phase. The transmission characteristics of the filter can be controlled through three parameters: the thickness of the birefringent elements, the optical path difference, and the orientation angle of an analyzer placed at the interferometer output. It is demonstrated theoretically that, with a particular choice of these parameters, the chromatic dispersion of the filter is compensated in a given spectral range. Some properties of the device are confirmed by an experimental demonstration.     

Effects of birefringence on Fizeau interferometry that uses a polarization phase-shifting technique

Interferometers that use different states of polarization for the reference and the test beams can modulate the relative phase shift by using polarization optics in the imaging system. Thus the interferometer can capture simultaneous images that have a fixed phase shift, which can be used for phase-shifting interferometry. As all measurements are made simultaneously, the interferometer is not sensitive to vibration. Fizeau interferometers of this type have an advantage compared with Twyman-Green-type systems because they are common-path interferometers. However, a polarization Fizeau interferometer is not strictly common path when both wavefronts are transmitted by an optic that suffers from birefringence. The two polarized beams see different phases owing to birefringence; as a result, an error can be introduced in the measurement. We study the effect of birefringence on measurement accuracy when different polarization techniques are used in Fizeau interferometers. We demonstrate that measurement error is reduced dramatically and can be eliminated if the reference and test beams are circularly polarized rather than linearly polarized.     

Noncontact detection of ultrasonic waves using fiber optic Sagnac interferometer

This paper describes a fiber optic sensor suitable for noncontact detection of ultrasonic waves. This sensor is based on the fiber optic Sagnac interferometer, which has a path-matched configuration and does not require active stabilization. Quadrature phase bias between two interfering laser beams in the Sagnac loop is applied by controlling the birefringence using a fiber polarization controller. A stable quadrature phase bias can be confirmed by observing the interferometer output according to the change of phase bias. Additional signal processing is not needed for the detection of ultrasonic waves using the Sagnac interferometer. Ultrasonic oscillations produced by conventional ultrasonic piezoelectric transducers were successfully detected, and the performance of this interferometer was investigated by a power spectrum analysis of the output signal. Based on the validation of the fiber optic Sagnac interferometer, noncontact detection of laser-generated surface waves was performed. The configured Sagnac interferometer is very effective for the detection of small displacement with high frequency, such as ultrasonic waves used in conventional nondestructive testing (NDT)     

Tin-diffused glass slab waveguides locally covered with tapered thin TiO2 films for application as a polarimetric interference sensor with an improved performance

Common soda lime slide glass substrates made by floating molten glass on the surface of molten tin contain a tin-diffused layer that is demonstrated to be a low-loss polarization-insensitive slab optical waveguide. In this study, such a tin-diffused waveguide was locally covered with a tapered thin TiO2 film to form a composite structure in which the zeroth-order transverse electric (TE0) and magnetic (TM0) modes are spatially separated from each other. This feature enables the composite structure to serve as a highly sensitive polarimetric interferometer. Moreover, a negligible modal birefringence of tin-diffused waveguides offers the polarimetric interferometer an improved performance relative to those fabricated earlier using single-mode potassium ion-exchanged glass waveguides. In situ detection of both the protein adsorption and a small change in refractive index of liquid was accomplished using the tin-diffused waveguide-based polarimetric interferometer. With horse heart myoglobin, adsorption from aqueous solution less than 0.125 monolayer coverage can cause the interferometer to yield a phase-difference change of delta phi = 2pi.     

Uncertainties in Small-Angle Measurement Systems Used to Calibrate Angle Artifacts

We have studied a number of effects that can give rise to errors in small-angle measurement systems when they are used to calibrate artifacts such as optical polygons. Of these sources of uncertainty, the most difficult to quantify are errors associated with the measurement of imperfect, non-flat faces of the artifact, causing the instrument to misinterpret the average orientation of the surface. In an attempt to shed some light on these errors, we have compared autocollimator measurements to angle measurements made with a Fizeau phase-shifting interferometer. These two instruments have very different operating principles and implement different definitions of the orientation of a surface, but (surprisingly) we have not yet seen any clear differences between results obtained with the autocollimator and with the interferometer. The interferometer is in some respects an attractive alternative to an autocollimator for small-angle measurement; it implements an unambiguous and robust definition of surface orientation in terms of the tilt of a best-fit plane, and it is easier to quantify likely errors of the interferometer measurements than to evaluate autocollimator uncertainty.     

Design principle for sensing coil of fiber-optic current sensor based on geometric rotation effect

The design principle exploiting the geometric rotation effect for the sensing coil of the fiber-optic current sensor (FOCS) on the basis of the polarization-rotated reflection interferometer is investigated. The sensing coil is formed by winding the low birefringence single-mode optical fiber in a toroidal spiral. The effects of the linear birefringence on the scale factor of the sensor can be suppressed with the reciprocal circular birefringence by appropriately designing the geometric parameters of the sensing coil. When the rated current is 1200 A(rms), the designed sensing coil can ensure the scale factor error of the sensor to satisfy the requirements of the 0.2 S class specified in IEC60044-8 over a temperature range from -40 °C to 60 °C.     

Polarization-induced noise in a fiber-optic Michelson interferometer with Faraday rotator mirror elements

Faraday rotator mirror elements have been used in a number of applications as compensators for induced birefringence in retracing paths. In interferometric systems, such as the fiber-optic Michelson interferometer, this approach proved to be useful in providing maximum fringe visibility and insensitivity to the polarization state of light injected into the interferometer. However, it is found that, when the characteristics of the fiber coupler depend on the polarization state of the input beam, the efficiency of the Faraday mirror elements is limited. Theoretical analysis and experimental results in support of this statement are presented.     

Application of phase-to-amplitude conversion technique to linear birefringence measurements

A novel technique that measures the linear birefringence of crystal quartz within the configuration of a Soliel-Babinet compensator (SBC) is proposed. A characteristic of this technique is that phase retardation introduced by quartz is amplitude modulation (AM) instead of phase modulation (PM). The linear birefringence is measured regardless of the azimuth angle of the SBC and the orientation of the linear polarization laser beam. Compared with the single-wedge method, the SBC is similar to a parallel plate that allows for a wider range of refracttive index of the test material to be measured. This proposed method uses a conventional amplitude demodulation method in conjunction with an optical heterodyne technique and a bandpass filter to produce a better signal-to-noise ratio. Although the SBC configuration is more complex than a single element, the independence of azimuth angle and the orientation of the linear polarized laser beam can enhance the sensitivity of the linear birefringence measurement.     

All-fiber magneto-optic Sagnac interferometer

An all-fiber magneto-optic Sagnac interferometer (AFMOSI) utilizing intrinsic Faraday effects in highly nonlinear fibers (HNLFs) is presented for the first time (to our knowledge). The performance of the AFMOSI was investigated theoretically by use of the transfer matrix approach. The theoretical results were verified by the experiment employing an all-fiber magnetic-optic cell that consists of a 30 m long HNLF and a 92 mm diameter toroid coil. Our experiments show that, when the linear birefringence of the AFMOSI is adjusted to 0, the change of the transmission can be over 10 dB as the magnetic induction B increases from 0 to 180 Gs. The sensitivity of the AFMOSI is determined by the coupling ratio of the fiber coupler, the loss of the loop, and the length of the HNLF. Most importantly, the linear birefringence of the AFMOSI can be obtained by evaluating its performance of magnetic field response. This is very useful for studying the influence of the linear birefringence on the performance of a nonlinear optical loop mirror that is controlled by the Faraday effect.     

Terahertz birefringence and attenuation properties of wood and paper

The far-infrared properties of spruce wood are examined with a terahertz time-domain spectrometer. The solid wood is shown to exhibit both birefringence and diattenuation. The birefringence properties are sufficient for construction of a quarter-wave plate operating at 0.36 THz, and a half-wave plate operating at 0.71 THz. The origin of the birefringence is attributed to preferential fiber orientation within the wood. Similar birefringence is observed in lens paper in which the fibers are preferentially oriented in one direction.     

二色调相式双折射系统的设计及其应用

以二色氩离子激光作光源,采用相调制技术设计了用于同时实时测量流场双折射及取向角的二色调相式流动双折射实验装置。由于采用了二色光源,避免了在计算过程中运用二阶贝塞尔函数以及在信号处理时分析二次谐波,简化了实验装置及结果计算。装置通过低通滤波电路和锁相放大器分别测量入射光和出射光中基频成分的光强度,并把它们转换成数字信号,由此计算出待测流场的双折射和取向角。实验证明,应用该装置同步测量了双折射及取向角,最大测量误差控制在0.5%~1%。     

Simultaneous measurement of multiparameters using a Sagnac interferometer with polarization maintaining side-hole fiber

A Sagnac interferometer with a section of a polarization maintaining side-hole fiber for multiparameter measurement is proposed. The sensor was experimentally demonstrated to be sensitive to torsion, temperature, and longitudinal strain, simultaneously. The birefringence in the investigated side-hole fiber is induced simultaneously by the elliptical shape of a germanium-doped core and by field overlap with the air holes surrounding the core. The latter effect is purely geometrical and causes high chromatic dispersion of the group birefringence in the long wavelength range, which results in a different period of spectral interference fringes. A different wavelength response is obtained for each interference fringe peak when the fiber is subjected to torsion, temperature, or longitudinal strain. A matrix equation for simultaneous measurement of the three parameters--torsion, temperature, and longitudinal strain--is also proposed.     

A Passive Phase Recovery Technique for Sagnac Interferometers Based on Controlled Loop Birefringence

We analyse the polarization and phase properties of the birefringent Sagnac interferometer in the case of a polarized source. We show that control of loop birefringence allows an arbitrary phase difference to be imposed upon the counter-propagating beams for any source polarization state, with control over the relative states of polarization of the recombining beams. We show how this may be achieved using one half-wave and two quarter-wave plates. We discuss the application of this method in fibre-optic sensors.     

Application of bacteriorhodopsin film for polarization phase-shifting interferometry

Photoinduced anisotropy in bacteriorhodopsin (BR) film is based on photoanisotropic selective bleaching of BR molecules under linearly polarized excitation light. It is modulated by the polarization orientation of the linearly polarized light. The anisotropic information recorded in the BR film is read by a circularly polarized light, which is in turn converted into an elliptical polarized light by the BR film. The rotation angle and the ellipticity of the elliptical polarized light are dependent on the polarization orientation of the linearly polarized excitation light. A phase-shifting interferometer based on the photoinduced anisotropy of BR film is presented theoretically and experimentally. Phase shift is controlled by the polarization orientation of the external excitation light, thus, the phase shift can be controlled without moving parts inside the interferometer, which contributes to the mechanical stability of the system.     

KDP晶体光学均匀性检测实验研究

本文阐述了正交偏振干涉测量技术的基本原理和实验方法.Fizeau干涉仪的输出激光束经过线偏振镜后变为线偏振光,调整偏振方向让光束的偏振态分别平行于KDP晶体的o轴和e轴,得到两幅干涉图.通过这两幅干涉图的差值得到晶体的折射率分布不均匀性.该检测技术借助可改变输出激光偏振态的大口径干涉仪精确地测量晶体在切割方向上.光折射率和e光折射率的偏差.本文所采取的方法是在大口径干涉仪的小端口放入可改变偏振方向的线偏光镜.本文通过对一批330mm×330mm的大口径KDP晶体的折射率均匀性测量验证了该方法.     

The cold drawing of amorphous polyethylene terephthalate

The cold drawing of amorphous polyethylene terephthalate has been studied at constant strain rate over a wide range of temperatures for samples of different molecular weight and different initial molecular orientation (pre-orientation). The natural draw ratio was found to be dependent on pre-orientation, confirming previous studies, and for low degrees of pre-orientation it also decreased with increasing molecular weight or decreasing temperature of draw. For all samples, there was an excellent correlation between the degree of molecular alignment achieved, as determined by optical birefringence, and the draw ratio. The birefringence of any sample could be accurately predicted from the draw ratio on the basis of previously proposed theoretical models for the development of molecular orientation.     

Measurement of Birefringence,Dispersion and Line Splitting for Biaxial Crystals by Double-layer Interferometer

Abstract

The fringes of a double-layer interferometer containing a birefringent plate, cut from a biaxial crystal, are split into two separate components belonging to the ordinary and extraordinary waves whose refractive indices have a difference determining the component separation. The dependence of the intensity ratio of the resolved components upon the angle of ray propagation in the crystal is used to identify the axes of a biaxial crystal like muscovite mica. A fringe count with a rotated sample accurately determines its optical thickness from which the absolute values of the refractive indices are deduced. The sensitivity of the double-layer interferometer to dispersion effects is so high that a birefringence dispersion is measurable and either the anisotropy of the atomic number density or the splitting of the characteristic spectral line is detectable.     

Birefringence compensated cylindrical piezoelectric fibre phase modulator

Abstract

A method is demonstrated for compensating birefringence effects in nominally circular-core fibre wound onto piezoelectric cylinders designed for use as phase modulators. Two fibre-wound piezoelectric cylinders are used, with the fast axis of one aligned with the slow axis of the other using a bulk-optic half waveplate. It is shown that, compared with a single element modulator, the compensation achieved is necessary and more than sufficient if used as a phase modulator in a fibre stellar interferometer.     

Combined Twyman-Green and Mach-Zehnder interferometer for microlens testing

A new interferometer design for microlens testing is presented. The phase-shifting system combines the advantages of a Twyman-Green and a Mach-Zehnder interferometer and permits full characterization of the aberrations of microlenses as well as radius of curvature and focal length measurements. The Twyman-Green system is applied to surface testing in reflection (single reflection), whereas the Mach-Zehnder system is used for lens testing in transmission (single pass). Both measurements are performed without removal of the test part, allowing for combination of the results without confusion of the actual lens and without an azimuthal orientation error. The interferometer setup is explained, the test procedure is described, and experimental results are given.