Characterization of freeform optics in automotive lighting systems using an Optical-Geometrical Feature Based Method

The use of freeform optics has been more widespread. It is difficult to evaluate the optical performance of the freeform optics due to its geometrical complexity. This paper presents a novel method named Optical-Geometrical Feature Based Method (OGFM) for the characterization of freeform optics. The method attempts to establish the relationship between the geometrical features of freeform surfaces (e.g. the surface roughness and form error) and their corresponding optical performance. Hence, the optical performance of the freeform optics can be evaluated by the measurement of the geometrical features which is relative easy to be carried out as compared to the optical performance tests conducted in automotive lighting systems. A series of simulation experiments have been conducted on the freeform optics in an automotive lighting system. The results show that the geometrical errors in micrometer scale appear not to have significant effect on the optical performance of the freeform optics. However, the optical performance is adversely affected when the geometrical form error increases from more than tens of micrometers scale to sub-millimeters scale. The successful development of the proposed OGFM provides an important means for the optimization of manufacturing tolerance, the selection of appropriate optics manufacturing process, and the evaluation of the optical performance evaluation of the freeform optics.     

基于MATLAB的傅里叶光学实验的计算机模拟

计算机模拟技术广泛应用在教学和科研当中，在傅里叶光学实验中引入计算机模拟技术能更生动和深入地揭示光学现象的物理内涵，文章提出利用MATLAB模拟傅里叶光学实验的方法，该方法的优点是操作简单灵活，能完成一般光学实验中较难实现的操作，并给出了光学滤波实验的结果。     

The Wigner distribution function applied to optical signals and systems

In this paper the Wigner distribution function has been introduced for optical signals and systems. The Wigner distribution function of an optical signal appears to be in close resemblance to the ray concept in geometrical optics. This resemblance reaches even farther: although derived from Fourier optics, the Wigner distribution functions of some elementary optical systems can directly be interpreted in terms of geometrical optics.     

The wigner distribution function and Hamilton''s characteristics of a geometric-optical system

Four system functions have been defined for an optical system; each of these functions describes the system completely in terms of Fourier optics. From the system functions the Wigner distribution function of an optical system has been defined; although derived from Fourier optics, this Wigner distribution function can directly be interpreted in terms of geometrical optics. In the special case of a geometric-optical system, the Wigner distribution function clearly demonstrates the relations that exist between the four system functions and the four Hamilton's characteristics of the system.     

The fractional Fourier transform as a simulation tool for lens‐based X‐ray microscopy

The fractional Fourier transform (FrFT) is introduced as a tool for numerical simulations of X‐ray wavefront propagation. By removing the strict sampling requirements encountered in typical Fourier optics, simulations using the FrFT can be carried out with much decreased detail, allowing, for example, on‐line simulation during experiments. Moreover, the additive index property of the FrFT allows the propagation through multiple optical components to be simulated in a single step, which is particularly useful for compound refractive lenses (CRLs). It is shown that it is possible to model the attenuation from the entire CRL using one or two effective apertures without loss of accuracy, greatly accelerating simulations involving CRLs. To demonstrate the applicability and accuracy of the FrFT, the imaging resolution of a CRL‐based imaging system is estimated, and the FrFT approach is shown to be significantly more precise than comparable approaches using geometrical optics. Secondly, it is shown that extensive FrFT simulations of complex systems involving coherence and/or non‐monochromatic sources can be carried out in minutes. Specifically, the chromatic aberrations as a function of source bandwidth are estimated, and it is found that the geometric optics greatly overestimates the aberration for energy bandwidths of around 1%.     

The analysis of ray aberration of arbitrary phase mask in the wavefront coding system

The analyses of the imaging performance of the wavefront coding system are always based on the Fourier optics. In this paper, geometrical optics is used to analyze the imaging characteristics of arbitrary phase mask in the wavefront coding system. The characteristics of the spot diagrams created by odd and even symmetrical phase masks, including the size, upper and lower boundaries, ray structure, and the stability, are analyzed by the ray aberration theory. These characteristics are also compared with those obtained by Fourier optics, and the two sets of characteristics are proved to be consistent with each other quite well.     

光纤傅里叶变换光谱分析装置

报道了一种新的光谱测量方法-基于单模光纤Mach-Zehnder干涉仪(FMZI)结构的傅里叶变换光谱分析法。在传统傅里叶变换光谱仪( FTS ) 中,用光纤代替传统光路;用光纤耦合器取代传统分束器;用压电光程调制器取代传统移动镜;从而构建了光纤傅里叶变换光谱仪(FFTS)。利用该FFTS测量了LD在阈值以下的发射光谱并与光栅光谱仪测量结果进行了比较,结果表明测量结果是相互吻合的。初步的实验中由于光程调制有限,光谱分辨率为～7 cm-1,改造光程调制器可进一步提高光谱分辨率,证明了FFTS用于分析光谱的可行性。     

被动测距系统的数字图像生成模块设计

为了检验和优化被动测距系统的设计,利用傅里叶光学理论设计并实现了一种数字图像生成模块,在给定光学系统参数条件下,模拟得到了系统的光学传递函数、点扩散函数等重要特性,在两种不同的光电被动测距方案下对该系统进行了系统仿真实验,实验结果验证了模块设计的合理性.     

Comprehensive modelling and optical analysis of single-lens telescopes

Classical refractors require at least two lenses, an objective and an eyepiece, to achieve image magnification and focusing. In this study, a minimalistic telescope design consisting of a single lens and a small aperture (the single-lens telescope) is examined. The design exploits the angular limiting properties of the aperture to achieve approximate image focusing, at the expense of image brightness. An analytical geometrical optics model is first presented to explore the fundamental optical properties of such a system, alongside a numerical ray-tracing framework; a more general Fourier optics theory unifying both diffractive and geometrical regimes is also developed. Extensive experimental validation of theoretical results across angular magnification, angular resolution, and image intensity profiles is demonstrated, and optimum aperture sizes for varying magnifications and irradiance wavelength are derived. The mechanical simplicity of such telescopes indicates good applicability as a simple and low-cost instrument for beginner astronomy or ad-hoc fieldwork.     

黑体模拟器

根据黑体光壁腔观点，用几何光学方法模拟黑体，得一维齿腔黑体模型，其发射率ε＝０．９９９９９９９９，给出黑体模拟数学式及实用黑体模拟器的几何参数。     

自成像局域空心光束产生的新方法及粒子俘获

本文提出了产生自成像局域空心光束(self-imaged bottle beams)的一种光学元件------液体轴棱锥.从衍射理论结合几何光学对经过轴棱锥后的光场进行了分析, 得出注入液体折射率小于轴棱锥材料折射率时可产生自成像局域空心光束.并通过软件MathCAD模拟, 得到一个完整周期光束的变换过程和局域空心光束的演变过程.研究发现液体轴棱锥产生的自成像局域 空心光束具有周期及相干长度可调的特点.分析了如何利用自成像局域空心光束对粒子进行俘获, 讨论了用自成像局域空心光束进行多层面粒子俘获的优势.     

双轴棱锥产生长距离近似无衍射光的新技术

提出了一种利用会聚透镜、轴棱锥等简单光学元件产生长距离近似无衍射光的新技术. 分别利用几何光学和衍射理论分析了该方法产生长距离近似无衍射光束的原理, 通过软件模拟了长距离近似无衍射光束的形成过程,得出了该光束在不同距离处的横向光强分布. 模拟结果显示该光束在较长距离处的横向光强分布满足Bessel分布. 从实验上获得了传播距离长达80 m、中心光斑发散角约为0.12 mrad的近似无衍射光束, 相比于国外学者最近的研究成果(Belyi et al. 2010 Opt. Exp. 18 1966)将传播距离延长了50多米,而光束发散角压缩了22倍.实验中, 对光束沿光轴传播时在不同距离处的光斑进行了拍摄,所得实验结果与理论分析基本符合.     

Transformation of Gaussian beams by spherical and cylindrical lenses: the scalar diffraction approach

The transformation of a Gaussian beam by a lens has often been described in terms of geometrical optics by the formal application of the ABCD-matrix law of the lens to the complex beam parameter. In this paper we present as a wave optical method the scalar diffraction approach to the same problem. It is shown that the fresnel approximation yields results which are analytically identical to those obtained by the ABCD-law, if truncation effects of the lens can be neglected.     

A fourier optics method for the simulation of measurement-volume-effect by the slit constraint

A new method is introduced to analyze the accuracy of phase-Doppler anemometry (PDA) for sizing large particles in two-phase flows. The method is based on Fourier optics theory (FOT) and geometrical optics theory (GOT) to calculate the intensity ratio of refractive and reflective light scattered by a sphere under a slit constraint. To examine the accuracy in calculating the light intensity, the results from the GOT method were compared with those of the direct simulation based on the generalized Lorenz-Mie theory (GLMT). This newly developed FOT/GOT method also predicts the results of phase jump due to the slit constraint. The performance of dual-mode phase-Doppler anemometry can also be simulated by this method.     

新型波导多层光存储信息读出光学系统设计

信息读出光学系统是波导多层存储方法的重要组成部分,从几何光学角度,提出了两种信息读出光学系统的理论设计,并对两种系统的特点进行了实验研究,结果表明两种光学系统都是可行的,而且对波导多层光存储的进一步研究及实用化都有一定的参考价值。     

带圆锥透镜的非稳贝塞尔光学谐振腔

研究了由圆锥透镜和凸面镜组成的非稳贝塞尔光学谐振腔. 利用几何光学原理,讨论了非稳贝塞尔谐振腔中光线传输的ABCD矩阵和腔内光线实现自再现的条件.从波动光学角度出发,利用惠更斯 菲涅尔衍射积分方程导出了谐振腔两镜面处光场的迭代方程,并通过数值模拟得到了凸面镜曲率半径不同时零阶贝塞尔光束在输出镜面上的光强分布.     

Design of aspheric collimation system for semiconductor laser beam

In this paper, semiconductor laser beam collimation lenses system has been optimum simulated and designed. The new design methods for aspheric cylinder lenses collimation system have been discussed in detail and the system parameters are calculated and optimized by using a geometrical ray optics approximation. The optical system has been further simulated by software MATLAB, and the simulation results showed that the emergence angle can be collimated effectively, and the output beam can be expanded to a circular spot in centimeter level beam radius.     

Study on the design and Zernike aberrations of a segmented mirror telescope

The segmented mirror telescope is widely used. The aberrations of segmented mirror systems are different from single mirror systems. This paper uses the Fourier optics theory to analyse the Zernike aberrations of segmented mirror systems. It concludes that the Zernike aberrations of segmented mirror systems obey the linearity theorem. The design of a segmented space telescope and segmented schemes are discussed, and its optical model is constructed. The computer simulation experiment is performed with this optical model to verify the suppositions. The experimental results confirm the correctness of the model.     

激光束整形光学系统的设计与研究

提出了一种改善激光投线仪光束均匀性的新方法,该方法运用几何光线追迹的原理,对激光束通过带孔柱透镜的光路进行了计算,模拟了柱透镜内孔在不同大小、形状、透镜介质折射率等参数下的光束远场能量分布,获得了能量分布均匀的远场激光线.     

Two-dimensional optical micro-scanner on silicon technology

A two-dimensional optical micro-scanner, which main components are two mobile flat and a concave micro-mirrors, is designed such that, all optical components can be fabricated on the same substratum. The optical parameters, which physical dimensions are between 50 and 500 μm, are obtained within the geometrical optics. The optical performance is evaluated by means of the MTF and Rayleigh resolution criteria, given 80% of modulation for a frequency of 8 cycles/mm with a Gaussian source, the resolution limit is 30 μm.