Quantitative coherence analysis of dual phase grating x-ray interferometry with source grating

Dual phase grating x-ray interferometry is compatible with common imaging detectors,and abandons the use of an absorption analyzer grating to reduce the radiation dose.When using x-ray tubes,an absorbing source grating must be introduced into the dual phase grating interferometer.In order to attain a high fringe visibility,in this work we conduct a quantitative coherence analysis of dual phase grating interferometry to find how the source grating affects the fringe visibility.Theoretical analysis shows that with the generalized Lau condition satisfied,the fringe visibility is influenced by the duty cycle of the source grating and the transmission through the grating bar.And the influence of the source grating profile on the fringe visibility is independent of the phase grating type.Numerical results illustrate that the maximum achievable fringe visibility decreases significantly with increasing transmission in the grating bar.Under a given transmission,one can always find an optimal duty cycle to maximize the fringe visibility.These results can be used as general guidelines for designing and optimizing dual phase grating x-ray interferometers for potential applications.     

衍射相关和Lau干涉

本文用离轴傅里叶变换系统的模型和菲涅耳衍射理论分析了衍射受限下的离焦相关器的系统特性,证明是第一模板和第二模板衍射像之间的强度相关积分。推导了衍射相关器作为测量相位物体的干涉仪的一般理论,这时要求编码板函数能衍射自成像并且相关函数为周期性函数。讨论了平行光栅作为编码板时的干涉仪的横向剪切干涉特性,给出了实验结果。本文还证明了衍射相关器是推广到任何平面物体在任何观察距离上的Lau效应装置。衍射相关干涉仪产生Lau干涉条纹,并且是直接应用Lau效应的干涉仪。 关键词：     

Automated collimation testing in Lau interferometry using phase shifting technique

We demonstrate an automated procedure for detection of collimation position of an incoherent beam in Lau interferometry using phase shifting technique. The experimental arrangement consists of a Lau-based interferometer in which light from a source grating illuminates a set of two coarse gratings separated by self-imaging distance. Phase shifting procedure is incorporated by translating the detector grating, corresponding to different positions of the collimating lens. The phase map is plotted corresponding to each position. The slope of the phase map is indicative of the collimation position of the optical beam. The technique is fully automatic and provides good accuracy and high precision.     

Correction of quadratic phase error in two-wavelength digital holographic interferometry using laser diodes

We present the correction of a quadratic phase error in two-wavelength digital holographic interferometry using laser diodes. This phase error arises from numerical reconstructions of wavefronts from digital holograms based on the Fresnel diffraction integral. To correct the quadratic phase error, it is numerically produced by computer on the basis of the theoretical prediction and is subtracted from the phase difference map in two-wavelength digital holographic interferometry. Experimental results show that the method of correction in this paper is useful for two-wavelength digital holographic interferometry using laser diodes.     

用特征多项式构造相移干涉相位提取算式

用相移干涉术测量物体表面形貌时，各种误差因素特别是相移器移相误差的影响使得表面形貌的测量偏离了实际值，甚至会产生形貌失真的现象。采用傅里叶分析的方法对相位提取算式作了理论分析，并根据特征多项式设计分析理论构造了新的、对移相误差不敏感的相位提取算式。经实验验证，该算法有效地提高了相移干涉仪测量表面形貌的Ra值，重复测量精度达5倍以上，使测量结果更接近实际值。     

Real time out-of-plane vibration measurement/monitoring using Talbot interferometry

In the present paper, application of Talbot interferometry for real-time vibration measurement is investigated. Experiments were conducted to measure/monitor out-of-plane motion of a vibrating loudspeaker membrane. Experimental results demonstrate that by using Talbot interferometry out-of-plane vibrations as well as phase lag between driving force and membrane oscillation can be measured.     

Highly sensitive interferometric system for optical surface contouring

In the present work we demonstrate a highly sensitive system for optical surface contouring constructed by combining phase conjugation and digital phase shifting interferometry. The phase conjugating mirror in the modified phase conjugate Michelson interferometer is based on degenerate four wave mixing in a photorefractive BTO crystal. Digital phase shifting interferometry is used to decode the interference fringe pattern. An increase in sensitivity and high measurement accuracy are achieved through this new combination due to the interferometric scheme and the phase shifting. Experimental results are presented. The interferometric system is flexible and undergoes further improvement.     

任意周期性物体的扩展Lau效应:基于部分相干传递函数的分析

本文基于自由空间的部分相干传递函数对效应提出了新的解释模型,给出了描述Lau条纹强度分布的普遍公式,它适用于任意周期性的振幅或位相型物体,对于几种典型周期性物体分析了Lau条纹产生的条件及输出强度.给出了不同周期的矩形光栅产生Lau效应的实验结果.     

相移全息干涉计量的统计分析

本文从统计光学的角度对相移全息干涉计量原理进行了详细的分析,指明由于变形过程中面内位移引起的散斑消相关效应的存在,使相位测量产生随机误差,误差的大小由面内位移量的大小决定,且这种误差不随相移计量过程中采样次数的增加而减小。提出了几种提高相位测量精度的有效方法,给出了相应的实验结果。     

Single-shot profilometry of rough surfaces using hyperspectral interferometry

The combination of white light interferometry with hyperspectral imaging ("hyperspectral interferometry") is a recently proposed technique for single-shot measurement of 3D surface profiles. We consider for the first time its application to speckled wavefronts from optically rough surfaces. The intensity versus wavenumber signal at each pixel provides unambiguous range information despite the speckle-induced random phase shifts. Experimental results with samples undergoing controlled rigid body translation demonstrate a measurement repeatability of 460 nm for a bandwidth of approximately 30 nm. Potential applications include roughness measurement and coordinate measurement machine probes where rapid data acquisition in noncooperative environments is essential.     

基于倾斜相位的抗振动干涉面形测量

环境振动会在干涉测量过程中产生随机倾斜、移相误差,导致测量精度下降.为了降低环境振动对移相干涉测量的影响,提出了一种基于倾斜相位的抗振动干涉面形测量方法.首先,利用Fourier变换将干涉图变换到频域;然后,利用频域细分操作对峰值坐标进行亚像素精度定位,求解出振动倾斜平面;最后,利用最小二乘法计算出待测面的相位分布.实...     

Quantitative amplitude and phase measurement by use of a heterodyne scanning near-field optical microscope

A coherent photon scanning tunneling microscope is presented. The setup employs heterodyne interferometry, allowing both the phase and the amplitude of the optical near field to be measured. Experimental results of measurements on a standing evanescent wave reveal the high resolution that is obtainable with such an approach. In fact we have measured the amplitude and the phase of the near field, with a resolution of 1.6 nm between sample points.     

Time-average holographic interferometry with a sinusoidally modulated laser diode

Laser diodes have the features of a single-mode operation and a frequency tunability. Holographic interferometry is described for investigating the vibrating amplitude and phase with a frequency-modulated laser diode. Sinusoidal wavelength change by varying laser injection current produces the sinusoidal phase modulation of relative phase difference between the reference and vibrating object paths. Holograms are made by time-average exposure of three-type recording modes with a laser diode. The phase of vibrating object is extracted from the measurements of Bessel-type fringe irradiances in three kinds of time-average holographic reconstruction. Experimental results of phase and amplitude for a vibrating cantilever object are shown.     

Temporal phase retrieval from a complex field in digital holographic interferometry

We describe a novel method of processing complex phasors in digital holographic interferometry (DHI). Unlike the commonly used digital phase subtraction method that operates on the phase itself, the proposed method operates on the complex phasor instead. Two temporal phase retrieval algorithms are developed in which the complex phasor of each pixel is measured and analyzed as a function of time. The developed algorithms are demonstrated in profile measurement of step heights. Experimental results show that the proposed phase retrieval algorithms for DHI perform well compared with conventional methods.     

Phase retrieval in two-wavelength DSSI using a combined filtering method

Phase retrieval in two-wavelength DSSI (digital speckle shearing interferometry) using a combined filtering method is proposed for small deformation derivative measurement. A simultaneous two-wavelength illumination and 3-CCD camera are employed in the experimental setup. The proposed method, which uses a two-wavelength technique does not require the conventional spatial phase unwrapping and has the advantage of good noise suppression for phase retrieval. Experimental results obtained show that using the proposed combined filtering method sensitivity similar to the single wavelength technique can be achieved.     

散斑干涉相位条纹图的频域滤波处理

为了解决在数字散斑干涉技术测量时,散斑干涉相位条纹图像中大量噪声对相位解包裹结果和精度产生严重影响的问题,介绍了一种条纹正余弦分解和频域低通滤波结合的方法,实现了散斑干涉相位条纹图的高精度滤波。该方法的基本思路是在对相位图像进行滤波处理前,先将相位图通过正余弦函数进行映射转换成两幅图,分别经过频域滤波,然后再合成为相位图。这种分解频域滤波方法可以在滤波的同时,有效保留相位跳变信息。实验结果表明：与传统的图像降噪方法相比,该方法能够在保留图像“尖峰”信息的基础上,较好地滤除图像中的散斑噪声,方法简单有效,有效解决了传统滤波方法应用在相位条纹图中,相图灰度信息丢失10%~40%的问题。     

Phase retrieval in DSSI for relatively large deformation

Methods for phase retrieval in digital speckle shearing interferometry (DSSI) with relatively large deformation are proposed using a single wavelength illumination with windowed Fourier filtering (WFF) and two-wavelength simultaneous illumination with iterative sine-cosine average filtering (ISCAF). For relatively large deformation measurement, WFF technique has a higher noise suppression capability than ISCAF technique but requires careful selection of the processing parameters, while ISCAF is a simple filtering with less parameter setting. Both methods for phase retrieval are discussed. Experimental results show that both methods are capable of noise suppression in the phase retrieval for relatively large deformation.     

Analogue difference holographic interferometry for two-wavelength contouring

Difference holographic interferometry uses holographic illuminations from the master object for the illuminations of the test object. The principle has been applied successfully for deformation measurement, phase object investigation and for contouring, as well - but in the last case within the two-refractive index method, only. Its application for contouring with the two-wavelength method is still missing - although it does exist already in the much later developed digital holographic interferometry.The present paper resolves this discrepancy and provides the better “analogue quality” by reporting the first realization of the analogue difference holographic interferometry in the two-wavelength contouring. Experimental evidence is presented not only for the existence of the application but for the numerical correctness of difference making, too. The measuring range extension achieved is threefold.     

Reusable glucose fiber sensor for measuring glucose concentration in serum

We demonstrate a glucose fiber sensor for measuring glucose concentration in serum.High resolution and rapid measurement are achieved through the integration of highly selective enzymes and heterodyne interferometry.The best resolution and response time obtained are 0.14 mg/dL and 1.3 s,respectively.The stability of the sensor is also verified by investigating the initial phase variation.Experimental results show that the fiber sensor can be reused more than 10 times.     

Phase shifting speckle shearing polarization interferometer using a birefringent wedge

A digital speckle pattern shearing interferometer is presented which utilizes a single birefringent wedge. Two orthogonally polarized images of an object measured are sheared by the wedge, and the bias phase difference between two polarized images is shifted by translating the wedge. The phase shifting technique applied to speckle pattern shearing interferometry makes it possible to analyze a slope and surface strain numerically. The fringe formation in the present interferometer is analyzed with statistical theory. Experimental results are also presented in two cases: (1) measurement of a slope and normal displacement with a single illumination; (2) simultaneous and separate measurement of a slope and surface strain with two symmetrical illuminations.