银层超透镜光学传递函数的研究

银层超透镜对基于表面等离子体激元的超分辨光刻、 成像和生物传感有着重要作用.利用银层超透镜的光学传递函数详 细研究了银板的表面等离子体激元共振和成像特性, 并利用时域有限差分法计算模拟了银层超透镜的成像过程, 得到与理论推导公式相符合的结果, 证明了光学传递函数的可靠性, 为基于表面等离子体激元的传感器件、 超分辨成像以及辅助增强干涉光刻提供了快速参数优化方法.     

基于定抛物面调制的直下式匀光照明透镜设计

对于近场大角度的匀光照明系统,透镜的一般设计方法是采用内表面为球形的自由曲面透镜设计,计算的自由曲面透镜只需考虑一次折射。但是当角度达到一定范围时,在透镜的内表面容易发生全反射,导致目标面照度不均匀。为了在近场照明系统中得到更大角度的配光,提出一种以合适的抛物面作为自由曲面透镜的内表面的设计方法,内抛物面先对光源的能量进行一次扩散,再计算自由曲面面型,通过模拟仿真,实现了在距离光源15 mm处形成半径40 mm的光斑,均匀度达到95%,能量利用率达到97.8%,相对于传统的直下式透镜,提高了照明的均匀度,同时减少了箱体的厚度。     

关于左手性介质几何光学的研究（二）

利用几何光学方法研究了由左手性介质制成的简单透镜的光学特性.推理分析了左手性介质透镜处球形界面的负折射规律，并依此表明了常用光学公式仍适用于左手性介质.指出了左手性介质透镜相对于用传统介质制作的普通透镜所具备的固有优点，最后证实了利用单块左手性介质透镜即可完全消球差，并相应提供了零球差左手性介质透镜的设计实例.     

并矢格林函数下的球形超透镜

应用并矢量格林函数法完成了球形超透镜的数值模拟,证明了球形超镜的亚波长成像能力.并矢格林函数法是处理电磁场问题的一种系统理论和有效方法,它弥补了坐标变换法的不足.与平板透镜相比,球形超透镜有几个优点,包括有限的横截面,能成放大或者缩小的像,很高的分辨率,进行二维成像等. 关键词： 球形超透镜 并矢量格林函数法 表面模 高分辨率     

平面微透镜的表面凸起现象分析

介绍了用离子交换法制得的平面微透镜的表面凸起现象,建立了分析这一现象的理论模型并给出了计算凸起程度的公式。平面微透镜的表面凸起有利于提高数值孔径和缩短交换时间,我们将它引入了平面微透镜阵列的设计和制作中并获得了良好的结果。     

无光焦度3贴合薄透镜组初始结构参数求解方法探讨

3透镜无光焦度校正板由3个单透镜组成,可以用来校正光学系统中其他光学元件引入的像差.本文运用三级像差理论分析了3透镜无光焦度校正板的像差特性,给出了一种求解3透镜无光焦度校正板参数的计算方法,得出了相应的计算公式,并通过具体的计算实例验证了这些公式的正确性.     

基于单曲面迭代计算的曲面透镜设计方法

为在平面上实现所需的照明,满足照明系统的要求,需要对光学系统进行二次设计。传统的设计方法往往用规则曲面指定透镜的一个表面,并以此为基础来设计另个一表面,这样会导致其表面形状复杂,不方便加工或装配。对此,提出了一种基于单曲面迭代计算的透镜曲面设计方法,即适当设计指定光线从透镜的一个表面到另一个表面的光路分布,再以此分别迭代计算透镜的各个表面。该设计方法采用两个自由曲面配合成曲面透镜,较以往的设计方法更加灵活、方便,设计得到的曲面镜头较以往更加简单光滑,便于加工和装配。结合一陈列灯镜头设计,给出了基于单曲面迭代计算的曲面透镜设计计算结果。     

反射式热透镜时变信号测量固体热扩散率的研究

介绍了采用反射式热透镜时变信号测量固体热扩散率的一种简便方法,该方法结合表面热透镜技术原理,采用表面透镜的动态变化和反射的探测光发散的幅度来确定固体的热扩散率,相对于传统的热扩散率测量方法要快捷简单。对较大范围的一系列物质的热学特性进行了实验研究,证明了其实用性。     

光学系统透镜热形变特性仿真研究

光学系统透镜组件在环境温度变化时发生的形变,特别是透镜的厚度、面形以及透镜间空间位置的变化,对系统成像质量有着不可忽视的影响。分析计算了某型导引头光学系统透镜组件在温度载荷下的形变特性。计算结果表明,当环境温度从20℃降低到-40℃时,透镜表面位移呈现出显著的梯度变化,7个透镜中表面的最大位移达0.05mm,透镜厚度的变化率超过0.05%,透镜间距离的最大变化率为3.46%。利用数据重构技术,计算结果可以作为透镜镜面形变分析的参考数据。     

倏逝波抽运的回音壁模式激光增益计算

倏逝波抽运条件下的回音壁模式光纤激光器增益计算,涉及抽运光束在光纤内的角度分布函数及其数值计算。基于射线光学理论,推导出了高斯分布光束及均匀分布光束经透镜耦合后在光纤内表面的角度分布函数;采用复合辛普生数值积分公式对分布函数进行了数值计算,并用分布函数计算的结果研究了抽运光沿光纤轴向以受抑全反射方式传播时产生的回音壁模式激光的增益特性。所得结果对这类光纤激光器的研究具有理论和实验参考价值。     

球面端面的锥形梯度折射率透镜的近轴成像特性

本文根据光线在球面上的折射公式及光线微分方程,研究了光线经两端面为球面的锥形梯度折射率透镜的传播和变换,基于光线传递ABCD矩阵,提出了球面端面的锥形梯度折射率透镜的一种等效光学系统.文中给出了该透镜的主平面、焦平面和焦距计算公式,以及近轴成像高斯公式.当锥度为零时即得到球面端面的柱形或径向梯度折射率透镜的相应结果.     

Aberration correction of a single aspheric lens with particle swarm algorithm

In order to design a single aspheric lens to meet the requirements of spherical aberration, the particle swarm algorithm is applied to the aberration correction for a single aspheric lens. A mathematical model is constructed, and a program code is developed. Merit functions in an optical system are employed as fitness functions, which combined coefficients of a higher order polynomial equation, a reciprocal of radius of curvature, the conic constant, thicknesses among lens surfaces and refractive indices regarding an optical system. By using this function, the automatic correction of spherical aberration is carried out. The example for a single aspheric lens design using particle swarm algorithm shows that PSO as a tool of the spherical aberration correction for a single aspheric lens is simple and effective, and easy to find a series of good design results. The asphere's more complex surface profile can reduce or eliminate easily spherical aberration at different incidence heights at one time. The automatic design and analysis of a single aspheric lens using this method from the view of a particular optical design problem are presented.     

双凹厚透镜曲率半径和折射率的测定

观察双凹厚透镜的球面反射成像,利用这一实验现象结合物像公式测定双凹厚透镜前后表面的曲率半径和折射率。利用两次球面反射成像可求出双凹厚透镜的曲率半径,两种方法可比较。对于薄透镜,这种方法可以修正在实际测量中忽略透镜厚度所产生的误差。     

Single Telephoto Lens for Focus Error Detection with Astigmatic Method

An astigmatic method for focus error detection has been integrated into a singlet. The first convex and the second concave surfaces compose a telephoto system with a telephoto ratio of about 0.4. The first surface of the lens is rotationally symmetrical asphere and the second surface is a toric shape whose aspherical profiles correct spherical aberration. We implemented our optical design using a molded glass process. Its performance was confirmed using the optical head of a magneto-optical disk system.     

计算全息法测量长焦透镜面形和焦距

为了同时对长焦透镜的面形和焦距进行高精度检测,提出在Zygo干涉仪的球面光路中加入一个二元衍射元件作为检测件的计算全息法。 首先对计算全息法检测长焦透镜的面形和焦距进行了理论推导,并给出焦距误差公式。在Zemax中使用在平面基底上制作的二元衍射元件对一个长焦透镜的面形和焦距进行了模拟检测,其中对该长焦透镜面形的干涉检测PV值为0.0034λ,对焦距的检测精度为-0.11%。最后详细分析了两类误差对检测结果的影响,其中光学元件的位置误差影响不超过0.1λ;二元衍射元件的制造误差影响约0.01λ,在具体制造过程中,其径向位置误差和台阶误差可分别在2 μm和5 nm之内。在综合考虑各项误差的情况下,该方法的检测精度仍然可控制在2λ/25之内。     

抛物面型X射线组合折射透镜聚焦性能的理论与实验研究

结合衍射理论和矩阵光学方法得出抛物面型X射线组合折射透镜的光学性能指标(包括其焦距的严格表达式、薄透镜近似的判定准则、透过率和有效孔径,以及极限聚焦光斑尺寸等).采用X射线深度光刻技术实际制作了PMMA材料抛物面型X射线组合折射透镜并给出了工艺测试结果.最后在北京同步辐射装置(BSRF)上,实际构建了基于3种不同结构参数的PMMA材料抛物面型X射线组合折射透镜的微束聚焦实验系统.并实际测试了其聚焦性能,均获得了良好的聚焦效果,给出实测结果并对实测结果进行了分析和讨论.     

Investigation of surface radius variation in design of a lens duct delivery system

In this article a ray tracing method is used to study the variation of the entrance and exit surface shape in the different lens ducts systems. Designs with a variety of plane and spherical first and second surfaces are studied. The optimum geometrical conditions for each design in terms of the aperture, length, and the radius of curvature are reported. A comparison is made between the results obtained for ducts with the spherical and plane surfaces and the more efficient design is described. The effect of second-order aspheric shape factor on the device performance is also investigated. This study shows that each design has some advantages and disadvantages, and considering specific application, the result of this study can lead to a choice of the optimum design in terms of the required lens duct performance.     

Distortion correction for imaging on non-planar surface using freeform lens

The method of designing a freeform lens which can image on a formula describable non-planar surface with low distortion was proposed aimed on distortion correction. In this method, the Snell's law and the correspondence between the coordinates of object and the distortion free image are used to establish the partial differential equation which characterizes the freeform surface, and the partial differential equation can be solved to form the freeform surface. Take projection on spherical surface for example, a freeform lens is designed. After adding this lens to the ordinary projection lens at a certain position, the system (ordinary projection lens and freeform lens) can project an image on sphere with absolute distortion about 2 mm for an observer at half of the projection distance, and the MTF on sphere is analyzed in detail after.     

Designing a plano-convex aspheric lens for fiber optics collimator

A plano-convex aspheric lens is designed to collimate the emitted light of the fiber optics. In this paper even orders of general aspheres are used to describe the aspheric surfaces sag. To determine the aspheric coefficient, the even asphere polynomial are fitted on the computed sag data. The surface sag data is determined using genetic algorithm method. The surface sag was analyzed by the commercial optical software package ZEMAX. For typical fiber optics, the numerical aperture (NA) of 0.22 was assumed. With this specification, the expected output spot diagram of 20 mm and the maximum aperture of 25.4 mm have been obtained. A comparison between here presented lens and the similar type of conventional lens has been carried out; the proposed aspheric lens corrected the spherical aberration, which led to increase in the collimated distance.     

Design of off-axis reflective projection lens using spherical Fresnel surface

In this paper, an off-axis reflective projection lens with single Fresnel reflective surface and three aspheric surfaces were designed. The design method of reflective lens using spherical Fresnel surface is discussed. The MTF (Modulation Transfer Function) of the off-axis reflective lens, with optical magnification 100×, F-number 2.5 and field of view 120°, is over 40% at 0.6 lp/mm on the image side, the distortion is less than 2%. This design method can provide reference for application of Fresnel surface in wide field of view imaging, and possesses a bright future with the continuous development of fabrication technique.