全息透镜光学特性与数值解析

全息透镜是一种新型光学成象元件,成象原理与制造工艺部与普通透镜不同,它有许多独特的性质.全息透镜可以单独使用,也可以与普通透镜混合使用,构成光学系统。本姓要阐述全息透镜在理想情况下的物象关系、成象原理、基点位置、焦距及放大率等光学特性;推导一组实用的计算公式,并附有计算举例。     

透镜焦距的测量方法

确定透镜焦距f有两种方法:一种是绝对确定法,另一种是成象测定法。绝对确定法常在设计与制造透镜时使用,它是根据几何光学中理想成象的基本原理,求出球面折射各基点(面)与焦距值,然后再求出由两个球面折射所组成的单透镜以至于由任意个单透镜形成的透镜组的焦距及其各基点(面)。由于此法用到的只是在设制时就能准确确定的一些量,例如透镜材料的折射率,球面的半径及诸球面间的     

透镜焦距的测量方法

确定透镜焦距f有两种方法:一种是绝对确定法,另一种是成象测定法。绝对确定法常在设计与制造透镜时使用,它是根据几何光学中理想成象的基本原理,求出球面折射各基点(面)与焦距值,然后再求出由两个球面折射所粗成的单透镜以至于由任意个单透镜形成的透镜组的焦距及其各基点(面)。由于此法用到的只是在设制时就能准确确定的一些量,例如透镜材料的折射率,球面的半径及诸球面间的间隔大小等,因而是确定焦距最准的方法。然而由于计算过于复杂,另一方面对于现成的透镜,往往又很难甚至于无法准确地知道以上各量,所以,此法一般并不常用;而且即使对设制     

介质平面波导TE0模衍射场的光束参量

对于傍轴光束，提出了介质平面波导衍射场的近场模场半宽度、远场发散角半宽度和光束传输因子M^2等光束参量之间满足简单的关系式，三个光束参量均可直接由波导模式场分布精确计算，或由可实际精确测量的远场衍射频谱分布精确计算。M^2因子的计算公式可表述为以二阶矩和微分算子定义的近场模场半宽度的比值，或以二阶矩和微分算子定义的远场发散角半宽度的比值。最后推导出介质平面波导TE0模衍射场光束参量的解析函数和光束参量的范围。     

宽束和细束电磁复合聚焦球面阴极透镜的象差理论

本文研究了对宽束和细束阴极透镜普遍适用的电磁复合聚焦球面阴极透镜的象差理论。在考虑物场和象场弯曲以及阴极面上磁场和横向电场不为零的情况下,导出了任意理想象面上的一级近轴横向象差和包括色象差在内的全部三级横向象差矩阵公式。所得的结果较为完整、普遍。本文详细讨论了宽束和细束阴极透镜的关系,并用轨迹法和变分法严格证明了:当考虑阴极面逸出电子具有一定的初能量和初角度分布,并采用准规范化电位表示的近轴轨迹方程来讨论系统的理想成象时,宽束和细束两类阴极透镜从象差理论以至导出的三级横向象差、象差系数表示式都可以统一起来。本文采用矢量描写轨迹,运用矩阵表示象差,形式简洁,象差系数积分收敛,适合于计算机计算。 关键词：     

全息透镜的特性及其应用

自六十年代激光和全息术发展起来以后,用一个点源的全息图就可以制成全息透镜。由于它的成象原理和制造工艺与普通透镜不同,所以它是一种新型的成象元件。了解全息透镜的成象特性,已是光学设计工作者面临的一个新问题。本文首先结合普通透镜的成象特性,采用光线分析的方法介绍全息透镜的成象原理,物象关系,导出同轴和离轴全息透镜的初级象差公式,透镜的光栅方程。提出了K-矢量闭合和等效透镜的概念,使光学设计工作者无须了解过多的全息学方面的知识,就可以从事这方面的工作。     

测量薄凸透镜光学参量的简便方法

本从薄凸透镜的反射成象原理出发,定性地解释了为什么物光经透镜后表面反射形成的倒立等大的实象时,其物距、象距都小于透镜焦距;另外介绍了逆向光路的计算方法。最后,通过薄凸透镜的反射成象原理和逆向光路的计算,推导出测量薄凸透镜的光学参量的简便方法。     

高斯光束通过失调透镜系统的聚焦特性

为分析透镜系统中圆孔光栏和透镜失调对高斯光束聚焦特性的影响,利用椭圆光栏近似展开式和失调光学系统的广义衍射公式,推导高斯光束经含圆孔光栏失调透镜系统传输的近似解析式,得到输出光束光强极大值场分布与光束参量、孔径尺寸、光栏和透镜失调量之间的关系。针对特定透镜系统,定量分析失调量对输出光束聚焦特性的影响。结果表明:各元件的失调对输出光束聚焦特性均产生影响,在失调量较小时透镜横位移对输出光束聚焦特性的影响比透镜角位移对输出光束聚焦特性的影响更明显。     

高能X射线聚焦组合透镜的理论研究

X射线聚焦组合透镜是一种利用折射效应对X射线辐射聚焦的新型元件。针对X射线波段的特性,综合考虑折射和吸收效应得出组合透镜的衍射屏函数,并利用衍射理论推导出X射线组合透镜的设计理论。利用统计学理论中一阶、二阶原点矩表征像面处的光学性能,使设计更简洁。该理论方法可方便地推广到双凹折射单元情况。通过数值计算分析了像向处强度分布的二阶中心矩以及焦点处辐射强度随组合透镜结构参最的变化关系,给出了一种铝基X射线组合透镜的结构参量设计结果。对于设计的组合透镜结构参量,计算了当X射线辐射能量分别为0．93 keV．9．89 keV和29．78 keV时,X射线辐射经过组合透镜后的焦点强度分布。     

用两区π-相位滤波器改善超半球形固体浸没透镜显微系统的成像特性

利用矢量衍射理论分析了π-相位滤波器在超半球形固体浸没透镜显微系统中的超分辨特性.结果显示,光斑的增益、Strehl率和边瓣强度随相位区域边界呈现出同步的、只一个周期的振荡性变化.从辐射场和速逝场的角度解释了这种变化的原因.对于近场显微,速逝场起决定性作用.π-相位滤波器的相位区域边界角大于临界角时,才能产生较大的超分辨作用.滤波器边界参量等于0.743（对应的角度大于临界角）的π-相位滤波器,可以使系统分辨率提高16%.     

强激光装置中玻璃疵病在线检测的光学系统设计

介绍了一种用于玻璃疵病在线检测的近摄工作距成像光学系统,其光组结构形式采用了光阑后置的准远心结构形式,主要光学参量为f′=14 mm;在物像距为250 mm约束条件下,物方视场达到90 mm（对角线）;F/number=3.56;光谱适应范围为400~800 nm,对应的空间分辨率为100 lp/mm时,调制传递函数大于0.29.     

射频四极透镜的聚焦特性

研究了带电粒子在射频四极透镜中的运动方程,导出了传输矩阵元,讨论了透镜聚焦特性和透镜各参数间的关系.     

Lenticular arrays based on liquid crystals

Lenticular array products have experienced a growing interest in the last decade due to the very wide range of applications they can cover. Indeed, this kind of lenses can create different effects on a viewing image such as 3D, flips, zoom, etc. In this sense, lenticular based on liquid crystals (LC) technology is being developed with the aim of tuning the lens profiles simply by controlling the birefringence electrically. In this work, a LC lenticular lens array has been proposed to mimic a GRIN lenticular lens array but adding the capability of tuning their lens profiles. Comb control electrodes have been designed as pattern masks for the ITO on the upper substrate. Suitable high resistivity layers have been chosen to be deposited on the control electrode generating an electric field gradient between teeth of the same electrode. Test measurements have allowed us to demonstrate that values of phase retardations and focal lengths, for an optimal driving waveform, are fairly in agreement. In addition, results of focusing power of tuneable lenses were compared to those of conventional lenses. The behaviour of both kinds of lenses has revealed to be mutually similar for focusing collimated light and for refracting images.     

Focusing properties of small lenses

The potential use of small substrate lenses for coupling to antennas at millimeter wave frequencies is investigated by analyzing the focusing properties of dielectric spheres with quarter-wave matching layers. The fields and the power density are calculated at various points within the sphere to learn how the focusing deteriorates as the lens is made smaller. The absorption loss of the lens is also calculated. The calculations show that quartz spheres with quarter-wave matching layers, can exhibit good focusing properties down to a radius of about half a free space wavelength. This minimum radius was found to increase almost linearly with the refractive index of the lens. The calculations also indicate that at 94GHz the absorption losses of fused quartz, silicon and gallium arsenide lenses, with radii of one free space wavelength or less, are less than 0.2 dB. As the minimum diameter of a quartz lens is comparable with the spot size in free space, it should be possible to build an imaging lens array in which each lens will act as a separate imaging element.     

各向异性超常材料平板透镜的聚焦特性分析

运用矢量角谱理论研究各向异性超常材料平板透镜的聚焦特性,得到了光束在平板透镜内外各区域的矢量场分布,揭示了超常材料平板透镜的聚焦特性跟材料的各向异性参数之间的定量关系,发现聚焦场的偏振态因平板透镜的各向异性特性而发生改变.作为矢量理论的具体应用,分析了光轴方向磁导率为-1,其他各向异性参数均为1的超常材料平板透镜的聚焦特性,发现此类透镜对初始沿某一横向方向偏振的光束能实现部分聚焦,并发生偏振旋转现象.     

弯月形厚透镜的基点和基面

用非对称介质厚透镜基点位置公式讨论了弯月形厚透镜基点位置对透镜系统参的依赖关系；指出部分献在相关问题上存在的一些错误的或不准确的说法。     

Experimental evaluation of X‐ray optics applied for microanalysis

The performance of x‐ray capillary lenses has been evaluated. The tests were carried out using an x‐ray tube set‐up. A single glass capillary with tapered inner channel, a monolithic glass polycapillary, and an in‐house manufactured single metallic capillary with parabolic inner channel were characterized in terms of gain, spatial resolution, and element detection limits. The spatial resolution of a confocal set‐up utilizing a monolithic glass polycapillary and a polycapillary conical collimator has also been measured. The highest gain of about 2500 was observed for the glass polycapillary. The maximum gain achieved with the single glass capillary was equal to about 25, and the gain of the metallic capillary was only slightly greater than 1. For the glass capillary and polycapillary lenses, significant filtering of the higher‐energy photons (energy > 8 keV) was observed. The lowest relative detection limits were obtained with an ordinary cylindrical collimator and the polycapillary lens. Similar absolute detection limits were achieved with the use of the polycapillary and single capillary lenses. A relation between the ratios of the detection limits of elements achieved with different x‐ray lenses and the lens parameters (spatial resolution and gain) has been proposed and was verified experimentally. The monolithic polycapillary lens was found to be an optimum focusing device for an x‐ray tube‐based scanning spectrometer. This type of x‐ray lens can be coupled with a polycapillary conical collimator or a polycapillary half‐lens to make a confocal x‐ray microscope capable of depth profiling with a spatial resolution equal to about 30 micrometers. Copyright © 2008 John Wiley & Sons, Ltd.     

阴极透镜象差的变分理论

本文运用变分原理研究了电磁复合聚焦阴极透镜的象差理论,导出了在任意象平面中象差系数的普遍公式。它们可以用Glaser导出的象差系数的线性组合来表示。这就表明了宽束与细束电子光学系统的象差都可以用统一的变分方法处理,并建立了两者之间的联系,本文采用矢量形式描写阴极透镜的近轴轨迹,并采用矩阵形式描写象差。本文所得的象差系数较之文献上已有结果形式更为简洁且适用于计算机计算。本文考虑了阴极面上磁场和横向电场不为零的情况,因而所得结果较为普遍。 关键词：     

Three-element zoom lens with fixed distance between focal points

This work deals with a theoretical analysis of zoom lenses with a fixed distance between focal points. Equations are derived for the primary (paraxial) design of the basic parameters of a three-element zoom lens. It is shown that the number of optical elements for such a lens must be larger than two.     

Diffraction of partially coherent X‐rays in clessidra prism arrays

When small triangular prisms are arranged in arrays which have an overall appearance like an hourglass (in Italian: clessidra) they can focus X‐rays owing to a combined action of diffraction and refraction. From the optical point of view these objects can be regarded as a Fresnel variant of concave transmission lenses. Consequently they can provide larger apertures than purely refractive lenses. However, one has to recognize that clessidra lenses will strongly diffract as the lens structure is periodic in the direction perpendicular to the incident beam. In experiments the diffraction is reduced because it is difficult to illuminate the large apertures with a full spatially coherent wavefront. So the illumination is at best partially coherent. In order to interpret available experimental data for this condition, diffraction theory has been applied appropriately to the clessidra structure, taking into account the limited spatial coherence. The agreement between the theoretical simulations and experimental data is very good, keeping the lens properties at their projected values and allowing for only two free model parameters. The first is the lateral spatial coherence; the second is a lens defect, a rounding of all edges and tips in the structure. Both values obtained from the simulations have been found to be in agreement with expectations.