杨氏干涉实验条纹的三维分布及仿真研究

Three-dimensional Distribution and Simulation of Young’s Interference Fringes

根据杨氏干涉实验的基本原理,在未经任何理论近似的情况下,推导出明、暗干涉条纹所满足的数学方程,并指出干涉条纹空间分布是一族双叶旋转双曲面.在数学方程的基础上,设置实际实验参数,利用Mathematica 12科学计算软件对干涉条纹的三维空间分布进行仿真.通过改变观察屏的位置使屏上得到不同形状的干涉条纹,对屏上干涉条纹的分析与传统光学理论吻合的很好.对干涉条纹三维分布的仿真模拟可进一步加深对杨氏干涉的认识与理解.

According to the basic principle of Young's interference experiment, without any theoretical approximation, the mathematical equations satisfied by bright and dark interference fringes are deduced, and it is pointed out that the spatial distribution of interference fringes is a family of hyperboloid rotating hyperboloid. Based on the mathematical equation, the actual experimental parameters are set, and the three-dimensional spatial distribution of interference fringes is simulated by using Mathematica 12 scientific calculation software. By changing the position of the observation screen, the interference fringes of different shapes are obtained on the screen, and the analysis of the interference fringes on the screen is in good agreement with the traditional optical theory. The simulation of the three-dimensional distribution of interference fringes can further deepen the understanding and understanding of Young's interference.