激光与光电子学进展, 2018, 55 (7): 070501, 网络出版: 2018-07-20
同心圆光栅莫尔条纹的光学分析 下载: 1007次
Optical Analysis of Moiré Fringes of Concentric-Circle Gratings
光栅 同心圆光栅 椭圆莫尔条纹 双曲线莫尔条纹 全息图 低通滤波器 gratings concentric-circle grating moiré pattern for ellipses moiré pattern for hyperbolas hologram low-pass filter
摘要
利用遮光阴影和频谱分析原理,对多种情况下的莫尔条纹表达式进行了分析和仿真验证,得到了两光栅圆心距和明条纹交点族序数对椭圆和双曲线莫尔条纹族形状的影响规律。研究结果表明,双曲线莫尔条纹族比椭圆莫尔条纹族更有利于识别与计量。基于同心圆光栅的透过率函数和计算全息,利用空间光调制器生成了同心圆光栅莫尔条纹,通过放大处理和选用合适的低通滤波器,得到了工程中应用比较广泛的双曲线莫尔条纹。
Abstract
Moiré fringe expressions in many cases are analyzed and verified via simulation based on the shadow shading and spectrum analysis principles. The influence laws of the center distance of two gratings and the number of the intersection points for bright fringes on the patterns of the families of hyperbolic and elliptic moiré fringes are obtained. The research results show that the family of hyperbolic moiré fringes has more advantages on discrimination and measurement than that of elliptic moiré fringes. Based on the transmittance function of concentric-circle gratings and the computer-generated hologram, the moiré fringes of this concentric-circle grating can be generated by the use of spatial light modulator. With magnification and the suitable low-pass filter, the hyperbolic moiré fringes widely used in engineering are obtained.
翟中生, 程壮, 张艳红, 周向东, 吕清花, 王选择. 同心圆光栅莫尔条纹的光学分析[J]. 激光与光电子学进展, 2018, 55(7): 070501. Zhai Zhongsheng, Cheng Zhuang, Zhang Yanhong, Zhou Xiangdong, Lü Qinghua, Wang Xuanze. Optical Analysis of Moiré Fringes of Concentric-Circle Gratings[J]. Laser & Optoelectronics Progress, 2018, 55(7): 070501.