Performance evaluation of a wave-front displacement system for vectorial shearing interferometer

We describe a wave-front displacement system using a novel configuration of a pair of wedge prisms. The wave-front propagation, through the displacement system, is analyzed using the exact ray trace. The main advantage, of this configuration, is that the shearing (direction and magnitude) is constant from the displacement system to the image plane. The direction of the shearing depends on the relative orientation of the prisms. The magnitude of the shearing is proportional to the distance between prisms. The proportionality constant depends on the wedge angle and the material of fabrication of the prisms, and it gives the sensitivity to the displacement of the system. The deviation of the shearing due to the difference between the wedge angles is larger than that the produced by the oblique incidence of the wave-front. The experimental results confirm the theoretical data.     

基于Radon变换的横向剪切干涉图的自动检测技术

在分析测试原理的基础上,指出了现有方法的横向剪切量获得的不足,根据剪切图和Radon变换在边缘处具有突变的特点,提出了一种基于Radon变换的横向剪切干涉图的剪切量的自动检测方法,首先根据二维图像的Radon变换结果,得到剪切图的横向移动方向,对图形进行方向校正。然后利用干涉图形的特点对图形在X和Y方向上进行Radon变换,得到剪切量。利用MATLAB进行编程,实验结果表明该方法具有很好的性能和较高的实用价值。     

基于径向剪切干涉仪的三维位移测量技术

本文提出一种基于双圆光栅径向剪切干涉仪的三维位移测量方法,其测量原理是径向剪切干涉仪所形成的莫尔条纹不仅由二维平面内位移决定,轴向位移会在+1和–1级莫尔条纹之间产生一个特定的相移.首先,基于标量衍射理论对双圆光栅径向剪切干涉仪的+1和–1级莫尔条纹强度分布进行推导,建立了三维位移量与莫尔条纹强度分布的精确解析关系;其...     

Tilting and shearing determination in the alignment of a Mach-Zehnder interferometer by zone plates

An easy and accurate method to detect the kind of disarrangement and its magnitude in the adjustment process of a Mach-Zehnder interfermeter by means of an equilateral hyperbolic zone plate is explained.     

Non-destructive collimation technique for measuring glass constants using a Ronchi grating shearing interferometer

A non-destructive liquid immersion collimation technique in combination with a Ronchi grating shearing interferometer has been used for determining the constants of a transparent glass material, especially when it is in the form of a lens. Due to its simplicity and the fact that it will work equally well at any wavelength, the technique is superior to existing methods for determining the various glass constants (refractive index, Abbe number or v-value, partial dispersion factor etc).The shearing fringes appearing inside a Ronchi-gram are adequate to locate the exact position of the point source which has been treated as the target in the present communication. The fringe-free space in the overlapping region between the two laterally displaced spherical wavefronts indicates the sharply focused position of the target which corresponds to zero defocusing. In this way the target displacements with different liquids are determined.     

迈克耳孙干涉仪旋转样品法测量透明玻璃厚度

使用迈克耳孙干涉仪通过旋转样品测量透明玻璃厚度.与白光干涉原理测薄片厚度不同,实验通过改变在光的传播路径上垂直放置的透明玻璃与光传播方向的角度,使相干光的干涉条纹发生变化,利用干涉条纹与转过角度、透明玻璃厚度之间的关系,通过实验准确测量出透明玻璃的厚度.     

Test of a conical lens using a two-beam shearing interferometer

We describe a two-beam shearing interferometric technique for testing refractive conical lenses. The optical configuration requires two mutually coherent plane wave fronts transmitted through the conical lens under test. The method can also be considered as an interferometric fringe projection technique in which a fringe pattern produced by the two interfering wave fronts is projected through the optical elements. We describe the principle of the method and present application of the technique for determining the angle formed by the flat surface and the conical surface of a refractive conical lens.     

大孔径静态干涉成像光谱仪中双通道Mach-Zehnder横向剪切干涉仪的设计

大孔径静态干涉成像光谱技术是一种时空联合调制的傅里叶变换成像光谱技术,其核心元件通常采用Sagnac横向剪切干涉仪。这种结构会使进入干涉仪的光线有一半沿原路返回,降低了能量利用率。文章提出一种改进型Mach-Zehnder横向剪切干涉仪结构,克服了能量利用率低的缺点,在实现横向剪切的同时,还具有双通道输出的优点。本文通过光线追迹的方法,得到剪切量的一般表达式,并分析了各种误差源对剪切量误差的贡献。为大孔径静态干涉成像光谱仪的设计提供了新思路,可为该类型的成像光谱仪的设计与优化提供理论指导。     

Calculation of the vectorial field distribution of an axicon illuminated by a linearly polarized Guassian beam

An analytical expression describing the vectorial field distribution of Gaussian light beams diffracted by an axicon is obtained. The theoretical analysis and simulation calculation show that for the linearly x-polarized light incident on an axicon, the y-component of the diffraction field is very small and the x-component dominates. The intensity of the z-component along the propagation direction is related with the open angle and index of axicon. The open angle plays the more important role in determining the polarization than does the index. For a small open angle, the z-polarized effect can be neglected and the scalar method is simple and valid to evaluating the diffraction field distribution of axicon. However, the vectorial method has to be used for great open angle.     

Collimation testing of a CO2 laser beam with a shearing interferometer

A shearing interferometer based on a Michelson interferometer is proposed for collimation testing of a CO₂ laser beam. The shear and tilt between the interfering wavefronts is obtained by replacing one or both mirrors of the Michelson interferometer with double mirrors arranged to act as 90 ° or near 90 ° prisms in retroreflecting mode. Detailed analysis for two experimental configurations of this system are presented.     

On the data rate extension of semiconductor optical amplifier-based ultrafast nonlinear interferometer in dual rail switching mode using a cascaded optical delay interferometer

The feasibility of increasing by a factor of two the data speed of the semiconductor optical amplifier (SOA)-based ultrafast nonlinear interferometer in dual rail switching mode by means of a cascaded optical delay interferometer (ODI) is explored and shown through numerical simulation. From the theoretical analysis it has been found that such extension cannot be done without employing this passive element for any selection of the critical parameters but the SOA carrier lifetime, for which the requirements are yet very demanding. If, however, the time delay introduced by the ODI is adjusted to almost 1/3rd of the bit period, then the result of Boolean XOR operation can be improved for a specified range of parameter values, which can be further selected to be more relaxed than is possible when the ODI is not being used. The use of the ODI allows both error-free and pattern-free performance at the output of the interferometric structure configured as ultrafast XOR gate. In this manner the scheme can offer a practical alternative solution for extending the operating rate of this logical module and enabling its exploitation as a basic building unit in more sophisticated all-optical circuits and subsystems.     

Propagation of a vectorial Laguerre–Gaussian beam beyond the paraxial approximation

Based on the vectorial Rayleigh–Sommerfeld integrals, the analytical propagation expression of a vectorial Laguerre–Gaussian beam beyond paraxial approximation is presented. The far field expression and the scalar paraxial result are obtained as special cases of the general formulae. According to the analytical representation, the light intensity distribution of the vectorial Laguerre–Gaussian beam is depicted in the reference plane. The light intensity distribution of a vectorial Laguerre–Gaussian beam with cos m is also compared with that of a vectorial Laguerre–Gaussian beam with sin m.     

Preliminary result of bunch length measurement using a modified Michelson interferometer

Based on the femtosecond accelerator device which was built at the Shanghai Institute of Applied Physics (SINAP), recently a modified far infrared Michelson interferometer has been developed to measure the length of electron bunches via the optical autocorrelation method.Compared with our former normal Michelson interferometer, we use a hollow retroreflector instead of a flat mirror as the reflective mirror.The experimental setup and results of the bunch length measurement will be described in this paper.     

Young's modulus measurement of the radius bone using a shearing interferometer with carrier fringes

A technique for measuring Young's modulus of the radius bone by using electronic speckle-shearing pattern interferometry is proposed. The technique is based on the introduction of carrier fringes and the use of a phase unwrapping algorithm to obtain a phase map corresponding to the out-of-plane displacements of a radius bone without sign ambiguities. The carrier fringes are obtained by the correlation algorithm of two consecutive speckle fields with a translation of the illuminating beam between each recording, then the spatial synchronous detection (SSD), an unwrapping phase algorithm and integration process along shear direction are successfully applied for obtaining a displacement phase map. Next, analysis of the radius bone as a cantilever allows us to obtain Young's modulus. The study was performed with speckle interferometry and with the finite element method for comparing the results. Advantages and disadvantages of the proposed method are discussed.     

迈克耳孙干涉仪测平行玻片折射率实验的进一步研究

用迈克耳孙干涉仪测平行玻片折射率的实验中,干涉条纹的位置和形状出现许多与常规不同的现象。本文对此作一理论分析,并与实验结果相比较。     

Real-time measurement of glucose concentration and average refractive index using a laser interferometer

This study presents a non-destructive, highly precise optical metrology system for measuring the average refractive index of a liquid solution such that its glucose concentration can be derived. The metrology system is employed to measure the average refractive indices of samples with known glucose concentrations ranging from 0 to 200 g/l. By applying a regressional analysis technique to the experimental results, an analytical expression is derived to describe the relationship between the refractive index and the glucose concentration. An excellent agreement is observed between the experimentally determined values of the glucose concentration and the analytically derived results. For an assumed laser interferometer resolution of 1 nm, the measurement resolution of the proposed metrology system is found to be at least F=0.05 g/l, which is significantly better than that of F=2 g/l obtained using the polarimetric glucose sensor presented by Lo and Yu [A polarimetric glucose sensor using a liquid-crystal polarization modulator driven by a sinusoidal signal. Opt Commun, 2006; 259: 40–8].     

利用迈克耳孙干涉仪重建蜡烛火焰温度场

利用教学实验中的迈克耳孙干涉仪,进行蜡烛火焰温度场的测量.对干涉条纹进行了处理和细化,并分别用阿贝尔变换法和环带法对蜡烛火焰的温度场进行了计算,得到蜡烛火焰横截面上温度场的定量结果.     

Real-time surface profile measurement using a feedback type of sinusoidal phase modulating interferometer

In this paper, we propose a sinusoidal phase modulating (SPM) interferometer that is insensitive to external disturbances, and its measuring principle is analyzed theoretically. In the SPM interferometer, the interference signal is detected by a high-speed image sensor based on a low-speed CCD and a signal processing circuit is used to obtain the phase of each point on the surface. Therefore, the surface profile can be measured real-time. The experiments measuring the surface profile of a wedge-shaped optical flat show that the measurement time of the SPM interferometer is less than 10 ms, the repetitive measurement accuracy is 4.2 nm. The results show that the impacts of nonlinear distortion of the piezoelectric transducer (PZT) and part external disturbance are removed.     

Far-field divergence of a vectorial plane wave diffracted by a circular aperture from the vectorial structure

Based on the vectorial structure of an electromagnetic wave, the analytical and concise expressions for the TE and TM terms of a vectorial plane wave diffracted by a circular aperture are derived in the far-field. The expressions of the energy flux distributions of the TE term, the TM term and the diffracted plane wave are also presented. The ratios of the power of the TE and TM terms to that of the diffracted plane wave are examined in the far-field. In addition, the far-field divergence angles of the TE term, the TM term and the diffracted plane wave, which are related to the energy flux distribution, are investigated. The different energy flux distributions of the TE and TM terms result in the discrepancy of their divergence angles. The influences of the linearly polarized angle and the radius of the circular aperture on the far-field divergence angles of the TE term, the TM term and the diffracted plane wave are discussed in detail. This research may promote the recognition of the optical propagation through a circular aperture.vspace1mm     

Measurement of in-plane motions and rotations using a simple electronic speckle pattern interferometer

We describe the construction and operation of a simple electronic speckle pattern interferometer which is sensitive to in-plane motions and rotations. The interferometer is extremely simple and easy to use. It uses a commercial digital still camera for image acquisition, and a personal computer for image storage and analysis. The interferometer was used to measure very small in-plane rotations of a rough surface, and the results were found to be in good agreement with the expected values. We propose to use this system as an instrument for the measurement of small-angle rotations.