激光与光电子学进展, 2017, 54 (9): 092601, 网络出版: 2017-09-06
基于Matlab仿真算法的光源空间相干性研究 下载: 862次
Research on Spatial Coherence of Light Source Based on Matlab Simulation Algorithm
物理光学 空间相干性 杨氏干涉 双缝展宽 Matlab仿真 physical optics spatial coherence Young′s interference double-slit broadening Matlab simulation
摘要
以杨氏双缝实验为基础, 探究了光源空间相干性对干涉的影响情况。首先将光源空间展宽问题等效为平行光照射具有宽度的双缝的问题, 再将两缝近似为离散化的多个次光源点阵列, 每相邻点间距非常微小。从光矢量叠加原理出发推导出一种算法, 该算法以两缝中每一对次光源点作为干涉单元, 分别求出各单元在每一个观测点处的干涉光强, 再对所有单元的干涉光强线性叠加, 算出观测点的总光强。最后利用Matlab模拟出不同缝宽下, 单色平行光、高斯光谱、矩形光谱分别垂直照射双缝时的光强分布情况。通过模拟结果的对比发现, 双缝展宽对条纹衬比度的影响远甚于光谱展宽。所提算法简化了计算过程, 也极大地提高了程序运行速度。
Abstract
The influence of spatial coherence of light source on interference is explored on the basis of Young′s double-slit experiment. Firstly, the spatial broadening problem of light source is equivalent to the problem of double-slit with width illuminated by parallel light. Then the double-slit is approximated to multiple secondary light source point arrays with discretization in which the distance of adjacent points is extremely tiny. An algorithm is deduced based on the principle of wave vector superposition. In this algorithm, each pair of secondary light source points in double-slit is designed as an interference unit. The interference light intensity for each unit at each observation spot of view plane is calculated, respectively. Then, the interference intensity of all the units is linearly superimposed, and the total light intensity of the observation point is calculated. Finally, we use Matlab to simulate the light intensity distribution when the double-slit is vertically illuminated by monochromatic parallel light, Gauss spectrum and rectangle spectrum with different slit widths, respectively. Comparison of simulated results shows that the influence of the double-slit broadening on stripe contrast is much greater than that of the spectrum broadening. The proposed algorithm simplifies computed process and raises program operating speed remarkably.
王帆, 张永安, 阳胜, 郭胤初, 张亚萍. 基于Matlab仿真算法的光源空间相干性研究[J]. 激光与光电子学进展, 2017, 54(9): 092601. Wang Fan, Zhang Yongan, Yang Sheng, Guo Yinchu, Zhang Yaping. Research on Spatial Coherence of Light Source Based on Matlab Simulation Algorithm[J]. Laser & Optoelectronics Progress, 2017, 54(9): 092601.