摘要
本文从惠更斯-菲涅尔原理出发,得到圆孔夫琅禾费衍射的光振幅分布的积分表达式,应用贝塞尔函数展开式对积分式进行了计算,得出了衍射光的强度分布,从而推出爱里斑的半角公式.该文还用Mathematica软件对结果进行了图示和数值计算.
In this paper,starting from the Huygens-Fresnel principle,we get the circular aperture Fraunhofer diffraction integral expression of the distribution of light amplitude. Based on the application of Bessel function expansion,the integral formula has been calculated,and the diffraction intensity distribution of light has been obtained,from which the half-angle formula of the Airy disk can be deduced.Some numerical calculation and graphical representation of the results have been given by Mathematica software.
出处
《物理与工程》
2010年第5期29-31,共3页
Physics and Engineering
关键词
圆孔夫琅禾费衍射
贝塞尔函数
爱里斑
光学仪器分辨率
circular aperture Fraunhofer diffraction
Bessel function
Airy disk
resolution ratio of optical instruments
