多光束干涉及其GUI设计

Abstract

本论文详细研究法布里–珀罗多光束干涉和多棱锥产生的多光束干涉，分析探讨了干涉原理和条件、干涉条纹特征以及影响条纹精细度因素。得到了多光束干涉的规律，即平行平面薄膜产生的多光束干涉条纹十分细锐明亮，并且反射率越大，产生的干涉条纹越明亮细锐。此外，增大介质折射率或者增大夹层厚度和介质薄膜厚度，在一定区域内所观察到的干涉条纹数则越多。多棱锥干涉产生的空间多光束干涉图案是沿光束传播方向没有变化的二维周期性图案，并且随着棱数的增加，干涉场将会变为同心圆结构的贝塞尔光束的场分布。应用MATLAB软件对迈克尔逊干涉、法布里–珀罗干涉以及多棱锥多光束干涉设计了GUI界面，形象生动地表征了相关参数变化引起的干涉条纹的变化，且与理论相吻合的结果。 In this paper, the Fabry-Perot interference and multi-beam interference produced by multi-pyramid are studied in detail. The principle and condition of interference, the characteristics of interference fringes and the factors affecting fringe fineness are analyzed and discussed. The law of multi-beam interference is obtained, that is, the multi-beam interference fringes which produced by parallel plane films are very sharp, and as the reflectivity increases, the interference fringes become brighter and thinner. In addition, with increasing the refractive index of the medium or the thickness of the interlayer and the dielectric film, the number of interference fringes observed in a certain area will be increased. The spatial multi-beam interference pattern produced by multi-pyramid interference is a two-dimensional periodic pattern with no change in the direction of beam propagation, and with increasing the number of edges of pyramid, there is a series of changes in the interference field. When the number of edges of pyramid increases to a sufficient edge, the interference field distribution will become concentric structure of the Bessel beam field. The software of MATLAB is used to design GUI interface of the Michelson interference, Fabry-Perot interference and multi-pyramid multi-beam interference, which vividly depicts the change of the interference fringes caused by the change of the relevant parameters and is consistent with the theory.