方形孔径平面微透镜阵列的泰伯效应及莫尔显示研究

发布时间：2018-05-23 14:20

本文选题：微透镜阵列 + 泰伯效应　；参考：《西南大学》2016年硕士论文

【摘要】：信息化时代,人们不仅需要更多更新的器件去获取、控制、传输信息,而且对信息的获取速度、信息质量、信息的多样化提出更高的要求。要达到这些目的,需要各种光电器件控制光的行为,例如成像、聚焦、耦合、分束、调制等行为。微透镜阵列作为一种重要的微光学元器件,被应用于各种领域,如并行共焦成像系统,也是波前测量系统的关键组件。方形孔径平面微透镜阵列是一种充分考虑受光面积和填充系数的光器件,除了具备常规的聚焦、成像、耦合等功能,对其更深层次光学特性的挖掘也是研究的重要方面。当单色平行光垂直入射到周期性结构的透明物体(如透射光栅)时,将会在沿光轴方向特定距离观察到周期结构物体的像,这种不用透镜而仅靠光的衍射就可对周期物体成像的现象,称为自成像,又称泰伯效应。周期结构的方形孔径平面微透镜阵列在单色平行光照射下,在沿光轴传播方向观察到了自成像现象,因此本文讨论了微透镜阵列的泰伯效应。在研究微透镜阵列光学特性的过程中,发现微透镜阵列对相应微图形阵列有莫尔显示效应,莫尔条纹对细微位移、形变和转动非常敏感,因而常被用于光学检测、光学校准、文档加密防伪等,对于微透镜阵列的莫尔显示效应的研究将进一步拓展微透镜阵列的应用领域。本论文的主要研究内容如下:1.对方形孔径微透镜阵列的泰伯(Talbot)效应进行实验研究,利用传递函数法分析了该阵列的菲涅耳衍射区的光场复振幅分布,讨论了泰伯像成像的条件。实验中,在特定位置处可观察到三种交替出现的清晰成像,实验测得的成像距离与理论值吻合。选用不同参数的方形孔径微透镜阵列,泰伯子像成像规律总体不变,当中心距大于孔径边长且小于两倍孔径边长时泰伯子像像元间出现交叠现象。方形孔径微透镜阵列在分数泰伯平面可观察到清晰的呈棋盘状分布的泰伯子像,这将拓展微透镜阵列的实际应用。2.由许多透光圆孔周期性排列组成的点阵与同周期的微图形构成的阵列重叠,发生相对转动时,莫尔图案出现,该莫尔图案是微图形的放大。对于方形孔径微透镜阵列也观察到了相同的莫尔图案变化现象,我们对产生这种现象的莫尔显示机理进行探究。
[Abstract]:In the information age, people not only need more updated devices to obtain, control and transmit information, but also put forward higher requirements for the speed, quality and diversification of information. To achieve these goals, various optoelectronic devices are required to control the behavior of light, such as imaging, focusing, coupling, beam splitting, modulation and so on. As an important microoptic component, microlens array has been applied in various fields, such as parallel confocal imaging system, and it is also a key component of wavefront measurement system. Square aperture planar microlens array is a kind of optical device which fully considers the optical area and filling coefficient. In addition to the conventional focusing imaging coupling and other functions mining deeper optical properties is also an important aspect of the research. When a monochromatic parallel light is vertically incident to a transparent object with periodic structure (such as a transmission grating), the image of the periodic structure will be observed at a specific distance along the optical axis. The phenomenon that the periodic object can be imaged by diffraction without a lens is called self-image, also known as the Tyber effect. The phenomenon of self-imaging along the optical axis of the periodic square aperture plane microlens array is observed under monochromatic parallel light irradiation. Therefore, the Tyber effect of the microlens array is discussed in this paper. In the course of studying the optical properties of the microlens array, it is found that the microlens array has moire display effect on the corresponding micrographic array, and moire fringe is very sensitive to the fine displacement, deformation and rotation, so it is often used in optical detection and optical calibration. The research on the moire display effect of the microlens array will further expand the application field of the microlens array. The main contents of this thesis are as follows: 1. The Talboteffect of square aperture microlens array is studied experimentally. The complex amplitude distribution of the Fresnel diffraction region of the array is analyzed by using the transfer function method, and the imaging conditions of the Taib image are discussed. In the experiment, three kinds of clear imaging can be observed alternately at a certain position, and the imaging distance measured by the experiment is in agreement with the theoretical value. Using square aperture microlens array with different parameters, the imaging law of the Taiber sub-image is not changed. When the center distance is larger than the aperture side length and is less than twice the aperture edge length, the overlap phenomenon appears between the Taiber sub-image pixels. The square aperture microlens array can observe the clear table-like distribution of the taiper subimages in the fractional Tyber plane, which will expand the practical application of the microlens array. 2. The lattice composed of periodic arrangement of many transparent circular holes overlaps with the array of micrographs in the same period. When relative rotation occurs, the moire pattern appears and the moire pattern is magnified by the micrograph. The same moire pattern was observed in square aperture microlens array, and the moire display mechanism was investigated.
【学位授予单位】：西南大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：TH74;O435

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