Simple focal-length measurement technique with a circular Dammann grating

A novel technique for focal-length measurements with a circular Dammann grating is presented. In the back focal plane of the lens under test, a one-order circular Dammann grating with limited aperture will produce double-humped radial rings. The separation between the two lobes varies with the displacement of the observed plane from the focal plane of the lens. By searching for the position at which the separation is minimal, the focal point of the lens can be located and hence the back focal length can be determined. Experimental results demonstrated that this method is efficient and can be used effectively for a quick check of focal length.     

Zonal wavefront sensor with reduced number of rows in the detector array

In this paper, we describe a zonal wavefront sensor in which the photodetector array can have a smaller number of rows. The test wavefront is incident on a two-dimensional array of diffraction gratings followed by a single focusing lens. The periodicity and the orientation of the grating rulings of each grating can be chosen such that the +1 order beam from the gratings forms an array of focal spots in the detector plane. We show that by using a square array of zones, it is possible to generate an array of +1 order focal spots having a smaller number of rows, thus reducing the height of the required detector array. The phase profile of the test wavefront can be estimated by measuring the displacements of the +1 order focal spots for the test wavefront relative to the +1 order focal spots for a plane reference wavefront. The narrower width of the photodetector array can offer several advantages, such as a faster frame rate of the wavefront sensor, a reduced amount of cross talk between the nearby detector zones, and a decrease in the maximum thermal noise. We also present experimental results of a proof-of-concept experimental arrangement using the proposed wavefront sensing scheme.     

Measurement of parameters of simple lenses using digital holographic interferometry and a synthetic reference wave

The use of digital holographic intrerferometry in the testing of simple thin lenses is explored. Focal length, radius of curvature, and refractive index are the lens parameters that can be determined using this method. The digital holograms using the lens under test are recorded at various positions of the test lens using off-axis geometry. This is combined with a digitally computed plane wavefront to determine the curvature of the light beam emerging from the test lens. Focal length is the position of the test lens where a single fringe results. The radius of curvature of the test lens is also determined similarly using a long focal length lens to concentrate a collimated beam onto the test lens. The nonuniformities on the lens surface could also be found by using this method. The implementation of the method is shown by using computer simulations in the case of biconvex lenses. The method can be utilized to measure the parameters of plano-convex and concave lenses also.     

Modified integrated optic Fresnal lens for waveguide-to-fiber coupling

The traditional design procedure for the waveguide Fresnel lens was carried over from those of bulk optics and micro-optics. In this design it is assumed that the lens thickness is negligibly small with respect to the focal length. This criterion does not hold for many integrated optic devices, in particular those with small mode-index modulations and long wavelengths. Under these conditions, the focal properties of the lens become unpredictable and the lens efficiency is reduced, both of which severely limit the usefulness of the lens as a waveguide-to-fiber coupler. To correct for this shortcoming, the standard Fresnel lens design procedure was modified to acocunt for the thickness of the lens explicitly. Both the standard and the modified Fresnel lens designs are outlined. A comparison of the limitations of the two lenses predicts better performance for the modified Fresnel lens. This is supported through computersimulation results for a pair of test lenses.     

基于二值振幅调控的角向偏振光超振荡聚焦平面透镜

角向偏振聚焦光场在超分辨光学显微、粒子操控等领域有着重要的应用。为克服传统透镜体积大、不利于集成等不足,本文提出了一种基于二值振幅(0,1)调控的角向偏振光超振荡聚焦平面透镜。针对波长λ=632.8 nm,设计、制备了超振荡平面透镜样品。透镜半径为650λ,焦距为200λ,数值孔径NA=0.96。实验结果表明：聚焦光场在焦平面上形成的空心聚焦光场呈圆环结构;空心环内径半高全宽为0.368λ,小于超振荡判据(0.38λ/NA=0.398λ);最大旁瓣比为36.7%。该平面透镜具有结构尺寸小、厚度薄、便于加工等优点,可用于光学系统的微型化和集成化。     

Alternative method for measuring effective focal length of lenses using the front and back surface reflections from a reference plate

We present a simple method for measuring the effective focal length without determining the location of principle plane of the lens. The method is based on the measurement of confocal backreflection axial responses from the front and back surfaces of a reference plate with known refractive index and thickness. We proved the concept by measuring the effective focal lengths of thin singlet lenses and complex microscope objectives. The theoretical limit of measurement precision varies depending on the numerical aperture of the lens. This method can provide an alternative focal length measurement method for complex lenses or lenses that are permanently attached to other structures. Measurement errors were analyzed theoretically and improvements in measurement accuracy were discussed.     

LAMOST球焦面光纤坐标检测方案

对LAMOST光纤定位系统中球冠状焦面板上4000个光纤头位置的检测,要求检测系统检测速度快、精度高,为此采用极坐标旋转扫描装置进行检测。检测装置包括角度传感器和绕球冠状焦面板中心旋转的圆弧形扫描梁,后者由多片线阵CCD软拼接而成,其数据用并行主从结构进行采集与处理。采用“光重心法”对光纤出射光斑信号进行处理,获取光纤端部的位置特征。     

Optical inspection of periodic structures using lens arrays and moire magnification

Abstract

This paper describes a technique that uses the phenomenon of moire magnification, developed recently for the measurement and inspection of periodic structures. Moire magnification occurs when an array of lenses is used to view an array of identical objects situated at the focal plane of the lenses. As the lens array is aligned with the object array, a moire pattern is observed in which each moire fringe consists of a magnified image of the repeat element of the object array. As the arrays are rotated with respect to each other, the magnification and orientation of the image changes.

The moire magnifier builds up an image from a large number of components of an array and therefore gives a representation of the average unit. It is a very simple and robust device and may well be more convenient to use, for example in an industrial production environment, than a microscope. A large number of components used in electronic imaging systems are periodic in nature and can conveniently be inspected using this technique. Examples are shown.     

Improvement of chromatic aberration of a plastic rod lens array. 1. Combination-color lens arrays consisting of several kinds of rod lenses with different gradient constants and different color filter functions

We propose a new type of rod lens array with improved chromatic aberration. The new rod lens array consists of several kinds of rod lenses with different gradient constants and different color filter functions. The gradient constant of each lens was prepared such that the total conjugate length was identical to the specific wavelength of the lens with a constant lens length. We call our new type of rod lens array a combination-color lens array. The characteristics of this color-type lens array are as follows: high angular aperture, short focal length, and ease of production with established procedures. The optical resolution of the rod lens array is 300 dpi in a wide wavelength range that is high enough to be applied to color scanners.     

Use of confocal microscopes in conoscopy and ellipsometry. 1. Electromagnetic theory

An optical system consisting of two objective lenses in a confocal arrangement is examined. It is shown that a simple algebraic relation exists between the electric field in the back focal plane of the first objective lens, which focuses the incident light, and the Fourier transform of the electric field in the focal plane of the same lens. The relation holds for high angles. If a thin object is placed in the focal plane it is possible to write the electric field by use of a Fourier transform relation at the exit aperture of the second lens. The theory is generalized for objects that are positioned at oblique angles with respect to the optical axis of the system. This configuration is clearly identical to the setup of a spatially resolving ellipsometer.     

Modeling microlenses by use of vectorial field rays and diffraction integrals

A nonparaxial vector-field method is used to describe the behavior of low-f-number microlenses by use of ray propagation, Fresnel coefficients and the solution of Maxwell equations to determine the field propagating through the lens boundaries, followed by use of the Rayleigh-Sommerfeld method to find the diffracted field behind the lenses. This approach enables the phase, the amplitude, and the polarization of the diffracted fields to be determined. Numerical simulations for a convex-plano lens illustrate the effects of the radii of curvature, the lens apertures, the index of refraction, and the wavelength on the variations of the focal length, the focal plane field distribution, and the cross polarization of the field in the focal plane.     

介电润湿液体透镜仿生复眼的设计与仿真

为解决仿生复眼系统不能自适应变焦的问题,提出了一种基于介电润湿液体透镜曲面阵列的可变焦仿生复眼系统。分析系统结构对成像性能的影响,计算系统的自适应变焦能力及相应像平面可移动范围。结果表明:系统成像的视场角随着基底曲率的增大而增大。相比于非均匀透镜阵列,均匀透镜阵列可明显降低系统的离焦像差。适当减小子透镜单元尺寸,也可以达到降低边缘透镜离焦像差的目的。当物距或者接收器位置发生改变时,通过调整子透镜单元焦距降低系统的离焦像差。系统接收器可移动范围为1.9 mm~15 mm。     

Apodized multilevel diffractive lenses that produce desired diffraction-limited focal spots

An apodized, multilevel diffractive lens that can produce a desired diffraction-limited focal spot is proposed for many applications, such as focusing, imaging, optical storage, and optical trapping. The three key points for the design are the innovative idea of complex conjugate subzones, the use of Babinet's principle, and the equivalent-pupil (or aperture) function theory of diffractive focusing elements composed of concentric transparent rings. As a concrete example, we numerically design a mixed multilevel diffractive lens (the highest phase level is 8) to produce a diffraction-limited Gaussian focal spot. Some related problems, such as the validity range and the combination with high-numerical-aperture refractive lenses, are also discussed.     

基于特征点的光纤位置检测方法

介绍对光纤端部位置的非接触检测方法。以面阵CCD为传感器,检测光纤端部出射光斑,采用“重心法”提取光斑的特征点表征光纤的位置。着重分析了光源稳定性、CCD性能、AD采样位数对测量结果稳定性的影响。实验表明,基于特征点对光纤端部检测,重复精度达到0.7%的CCD像素,系统具有良好的稳定性。     

一种计算机层析成像用X光高分辨探测器技术

探测器技术是计算机层析成像系统的关键技术之一。提出了一种基于面阵CCD器件,采用 光纤和光纤面板进行光耦合及传输的扇形束线阵扫描X射线新型探测器技术。实验结果表明,该新型探测器具有结构紧凑、性能可靠且分辨力高(约50μm)等特点,可以实际应用于工业X-CT系统之中。     

两探测面结构激光粒度仪的接收光路设计

为了扩大激光粒度仪测量的动态范围,采用同轴的两组接收透镜,将两个硅光电探测器阵列分别置于前组透镜的后焦面和两组透镜的组合后焦面上,对测量信号进行组合后用改进共轭梯度法处理数据。通过优化光路结构,采用两组双胶合透镜和探测环半径均不大于45mm的探测器可满足同时测量5～3500μm粒径的要求。     

High accuracy dual lens transmittance measurements

We show how to determine the transmittance of short focal length lenses (f approximately 19 mm and f approximately 2 5 mm, in this case) with a combined uncertainty of 3 parts in 10(4) or better by measuring transmittances of lens pairs of a set of three or more lenses with the same nominal focal length. Uncertainties are minimized by optimizing the radiometric design of the setup and the measurement procedure. The technique is particularly useful in systems where the detector acceptance angle limits the beam geometry to relatively collimated beams.     

The Numerical Investigation of Diffraction Image Quality of Gradient-index Lenses

A method for the exact calculation of the light intensity distribution in the focal plane of a gradient-index lens is presented. A modification is proposed based on a method exploited in classical systems of small aperture. The results of an investigation performed on selected lenses are shown.     

High-performance fluidic adaptive lenses

High-performance fluidic lenses with an adjustable focal length spanning a very wide range (30 mm to infinite) are demonstrated. We show that the focal length, F-number, and numerical aperture can be dynamically controlled by changing the shape of the fluidic adaptive lens without moving the lens position mechanically. The shortest focal length demonstrated is less than 30 mm for a 20-mm lens aperture. The fluidic adaptive lens has a nearly perfect spherical profile and shows a resolution better than 40 line pairs/mm in a plano-convex structure and 57 line pairs/mm in a biconvex structure.     

High-efficiency production of propagation-invariant spot arrays

Tailoring of the transverse intensity profiles of propagation-invariant optical fields is considered. The design of diffractive elements capable of realizing such fields by Fourier synthesis is discussed. High-efficiency realization of finite-aperture approximations of the constructed fields is demonstrated in a system consisting of two multilevel diffractive elements. The first element is a diffractive toroidal lens, which focuses the incident field into a ring pattern. The second diffractive element, located at the focal plane of the first element, introduces the phase modulation necessary to realize the desired transverse intensity profile behind a separate collimating lens. The influence of the fabrication errors of the diffractive elements on the fidelity of the propagation-invariant spot array is simulated, and system-integration aspects based on substrate-mode planar-integrated optics are considered.