Fringe localization and visibility in hologram and classical broad source interferometry

The concepts of fringe localization and visibility in classical broad source and hologram interferometry are discussed and a distinction is drawn between them. Experimental results are used to demonstrate that in general there is no unique region of localization in hologram interferometry. The expression for the maximum viewing aperture for observation of fringes of good contrast at the surface under study is verified.     

A new formula for fringe localization in holographic interferometry

Holographic interferometry generally involves the interference of two or more speckle fields reflected from or transmitted through a diffused object. The visibility of the resulting fringes depends on the degree of coherence of the interfering speckle fields. Through a statistical analysis it is found that the degree of coherence of speckle fields is essentially a function of the relative speckle displacement and average speckle size. The analysis leads to a new physical model for holographic interferometry. With this model the problem of fringe formation and localization may be analyzed and formulated in terms of speckle movement. A new formula for ideal fringe localization is then derived from the analysis. Furthermore, a localization factor V_c, i.e. the visibility of the holographic fringes, is introduced to analyze the partial fringe localization in holographic interferometry, which is of practical interest to most researchers.     

Fringe localization using focus measure

A method for automated evaluation of fringe localization using focus measure is demonstrated experimentally. Dual-illumination digital holographic interferometry is used to generate phase difference maps (PDMs) of a rough test object. Focus measure values of the PDMs along the axial direction (increment: 10λ=6.33 μm) yield an inverted bell-shaped curve which, in turn, facilitates the characterizations of the plane and region of fringe localization. The method can be applied in the distance measurement of rough objects and in the optimization of fringe visibility.     

Interferometric studies of interfaces at milliKelvin temperatures

A brief review of our recent work on interfaces in quantum systems at millikelvin temperatures is presented. In this paper, we concentrate on high-resolution interferometry on superfluid/solid interface in⁴He. Our results show a novel surface transition at small inclination angles off the c-axis, slow facet growth which cannot be assigned to the regular screw-dislocation-mediated mechanism, and fast spiral growth moderated by step localization.     

Nonlinear macrolocalization of strain in hexagonal close-packed zirconium alloys

Using laser speckle interferometry and surface profiling methods, the evolution of plastic strain localization under uniaxial tension of hcp zirconium alloys is studied. It is found that oscillatory instability observed at the parabolic stage of plastic flow in zirconium alloys arises when the specimen locally and nonuniformly changes shape. It is shown that the cross-sectional area of the deforming specimen decreases nonlinearly and is determined by the oscillatory variation of contraction and extension strains at the site of macrolocalization in the hardening-softening mode.     

Thermalization of a two-phase fluid in low gravity: heat transferred from cold to Hot

We present an experimental study of the thermal response to a positive temperature quench in two-phase fluid SF6 in low gravity for temperature ranging from 10.1 to 0.1 K from the critical temperature. The temperature was measured simultaneously in the gas, the liquid, and the cell wall by thermistors and the density distribution was observed by interferometry. During the quench the gas temperature considerably exceeded the temperature of the heating walls (overheating up to 23%). This striking observation is discussed in the light of the adiabatic heat transfer in this highly compressible fluid while the key role of the localization in low gravity of the gas and liquid phases is revealed.     

Laser-induced modification of bulk fused silica by femtosecond pulses

The features of the local nondestructive modifications of the bulk fused silica are experimentally studied. A method for the measurement of the refractive index in a transparent sample irradiated with femtosecond laser pulses is developed. The accuracy of the refractive-index measurements achieves about 10^?5, and a spatial resolution is several microns. The quantitative data on the dynamics of the permanent modification of glass as a function of the radiation energy are obtained for the first time. The spatial localization of the modified area that is predominantly determined by the laser-beam divergence is analyzed. The femtosecond interferometry is used to investigate the laser-pulse propagation in amorphous silica.     

Analysis of plastic strain localization by a combination of the speckle interferometry with the bulge test

The process of localization of strains, diffuse and localized necking, up to fracture in equi-biaxial loading was analyzed through the images obtained by electronic speckle pattern interferometry (ESPI). The problem of localization is important in the sheet metal forming processes. The ESPI technique is used to have a better resolution on the measured strains (10⁻⁵) than other technique such as the image correlation (10⁻², 10⁻³). The bulge test is currently used to determine the mechanical properties of materials by measuring the deformation that occurs in response to the application of a controlled pressure. This test is used to determine the mechanical properties of sheet metals submitted to an equi-biaxial loading path, the strains at failure are used as data to determine forming limit diagrams (FLDs).The aim of this study is to detect the localization of plastic strain (diffuse and localized necking) during the bulge test combined with a common speckle interferometer. This paper describes an original technique to detect the localization using the strain rate at different positions on the sample.The main originality of this work is the application of an optical interferometer to determine the field of plastic strain increments and strain rates in the region of the top of the specimen, at various stages of global strains.     

Apodization‐Assisted Subdiffraction Near‐Field Localization in 2D Phase Diffraction Grating

Conventional phase diffraction gratings can be used to localize the incoming optical radiation in the near‐field region. A new design of the binary phase diffraction grating is proposed with embedded pupil opaque mask inside each stripe. By means of numerical simulations, it is shown that with this masked phase grating the spatial resolution of the near‐field localization can be substantially improved and brought even beyond the solid immersion limit (λ/2n). Moreover, due to anomalous apodization effect, the subdiffraction field localization is accompanied by intensity enhancement as compared to the non‐masked design. The pupil mask rearranges the optical fluxes within the stripes and promotes the Fano resonances excitation in the periodic step lattice. This can be important for advancing the phase grating‐based super‐resolution technologies, including subdiffraction imaging, interferometry, and surface fabrication.     

Performance Optimization of Phase-Shifting Interferometry Using Data Average on Wide Range Roughness Measurement

Performance optimization of phase-shifting interferometry was investigated using data average on wide range roughness measurement. The interferometry performance was strongly affected by data average and an optimal data averaging condition of minimal measurement error was found. The high limit roughness level which makes the data average available for the interferometry performance optimization providing a reproducible and smallest roughness was determined to be about 5 _A rms roughness. Therefore, the optimal interferometry performance absolutely required data average for finer surfaces than about 5 _A rms roughness. On the other hand, the optimal interferometry performance for surfaces rougher than about 10 _A rms required little data average. The reliability of the optimal performance of phaseshifting interferometry was checked.     

高精度检测球面面形的方法研究

短波光学的迅猛发展和高精密光学仪器的需求日益增多,对高精度表面的加工与检测也随之重要起来。而在一般的干涉检测中,球面镜检测精度主要依赖参考镜的精度。利用Jensen提出的干涉仪绝对校准理论可以去除参考镜的误差和干涉仪的附加波像差,从而提高被测件测量精度。在研究Jensen绝对校准理论的基础上,提出一种利用泽尼克(Zernike)多项式进行波面相位转换的方法进行波面处理,并提出具体实施方案。对面形精度优于A／37小凸球面进行测量得出了较好的结果,打破了标准镜头最优A／20的局限,使这一理论简单易行地赋予应用。从而实现了高精度检测球面面形。     

相对论重离子碰撞中背景的选取对2π干涉学分析的影响

用小相对动量区域2π干涉学分析方法,研究了相对论重离子碰撞中背景的选取对2π干涉学分析所得π源参数的影响,得到了在不同背景下2π干涉学分析所得π源参数之间的解析关系,与相对论重离子中心碰撞1.8A GeV Ar+Pb的实验结果进行了对比.     

The development of full field interferometric methods for fluid velocimetry

The development of full field interferometry as a velocimetry technique in experimental fluid mechanics from its inception in 1977 to the present is discussed. In 1977, holographic interferometry (HI) was applied for the first time to measure the velocity field in a liquid flow. It was not until 1998 that the first application to a gaseous flow was reported. The only kind of speckle interferometry that has been applied to measure velocity fields so far is digital speckle pattern interferometry (DSPI). It was in 1999 that DSPI was demonstrated both in a liquid and a gaseous flow.     

Effect of the Choice of the Background on Two-Pion Inter-Ferometry

The effect of the choice of the background on the pion source parameters in two-Pion interferometry analyses in relativistic heavy-ion collisions is studied with the two-Pion interferometry at small relative momentum. The analytic relations between the pion source parameters from two-Pion interferometry analyses with different backgrounds are obtained, and comparison is made with the experimental measurements of the cental relativistic heavy-ion collisions of 1.8 A GeV Ar+Pb.     

Volume-grating phase-shifting digital speckle pattern interferometry used for measurement of out-of-plane displacement field

A new digital speckle pattern interferometry, called volume-grating phase-shifting digital speckle pattern interferometry, is discussed in this paper. The out-of-plane displacement field of a bent plate can be quantitatively measured using volume-grating phase-shifting digital speckle pattern interferometry proposed in this paper. Theoretical and experimental results, as well as absolute errors, are given.     

Detecting the beginning of the shear band formation in uniaxial tensile tests by out-of-plane displacement measurements

We have used both electronic speckle-pattern interferometry (ESPI) and whole-field Subtractive Moiré (WSM) to follow the thickness reduction of sheet metal specimens subjected to uniaxial tensile tests. By analyzing the out-of-plane displacements induced between close load stages, we evaluated nonlinear effects linked to the progression of the thickness necking or transverse reduction in area of the sample. We observed that, during the transition zone of the test, long before reaching instability, the samples were thinned mainly along a relatively broad band. Due to its remarkable degree of localization, we identified this band as the diffuse necking. This diffuse necking preceded the development of the local neck and indicated the beginning of shear band formation.     

Statistical and interferometric determination of the optical thickness of a multilayer transparent plate

Optical Review - Wavelength-tuning Fizeau interferometry has been widely used to measure and estimate the optical thickness of optical components. However, in multilayer interferometry, the...     

Time-domain interferometry for direct electric field reconstruction of mid-infrared femtosecond pulses

Mid-infrared ultrashort pulses of 9.2-microm center wavelength are characterized in both amplitude and phase. This is achieved by use of a variant of spectral phase interferometry for direct electric field reconstruction in which spectral interferometry has been replaced with time-domain interferometry, a technique that is well suited for infrared pulses. The setup permits simultaneous recording of the second-order interferometric autocorrelation, thus providing an independent check on the retrieved spectral phase.     

Analysis of measuring features of interferometric methods for studying “weak” optical inhomogeneity with a small transverse size

Comparative analysis of interference methods, which are most promising for studying optical inhomogeneities with a small transverse size, is carried out. It is shown based on analysis of interference fringes for the two most widely used interferometric methods (two-beam interferometry with a reference wave and lateral-shear interferometry) that in the case of a lateral shift exceeding the geometrical size, lateral-shear interferometry shows twice as high sensitivity as that of double-beam interferometry with a reference wave and is more promising for estimating the size of “weak” optical inhomogeneities.     

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.