Shen Jianqi, Jia Xiaowei
College of Science, University of Shanghai for Science and Technology, Shanghai, China.
Appl Opt. 2013 Aug 10;52(23):5707-12. doi: 10.1364/AO.52.005707.
Diffraction of an infinitely long circular cylinder normally illuminated by a plane wave is discussed from the classical Mie theory. A rigorous expression of the diffracted light is obtained, which is simply characterized by a factor (θ/2)/sin(θ/2) and the sinc function sin(αθ)/(αθ). Numerical calculation shows an apparent difference between our results and those from scalar wave diffraction theory, especially in large diffraction angles. The factor (θ/2)/sin(θ/2) is introduced into the diffracted light by a sphere, which leads to an alternative approximation of the diffracted light.
从经典的米氏理论出发，讨论了平面波垂直照射无限长圆柱的衍射问题。得到了衍射光的严格表达式，该表达式简单地由一个因子(θ/2)/sin(θ/2)和正弦积分函数sin(αθ)/(αθ)表征。数值计算表明，我们的结果与标量波衍射理论的结果存在明显差异，尤其是在大衍射角的情况下。球体的衍射光中引入了因子(θ/2)/sin(θ/2)，这导致了衍射光的另一种近似。
