基于MATLAB对菲涅耳圆孔衍射的模拟

MATLAB软件具有强大的计算和可视化功能,可以较为精确地模拟光学实验的结果,使复杂、抽象的光学现象变得具体、直观。基于MATLAB编程,模拟了菲涅耳圆孔衍射的光强分布。结果表明:衍射花样由一系列明暗相间的同心圆环组成,衍射花样结构(亮暗环数目及排列顺序)由观察屏中心点所对应的半波带数k决定。k相同,则衍射亮暗环的半径由圆孔半径唯一决定。无论k为奇数或偶数,圆孔衍射花样的中心光斑半径均符合夫琅和费圆孔衍射的爱里斑半径公式。

Simulation of fresnel circular aperture diffraction using MATLAB

MATLAB software has powerful computing and visualization capabilities, one can simulate the results of optical experiments more accurately, and make the complex, abstract optical phenomena become concrete, and intuitive one. Fresnel circular aperture diffraction intensity distribution has been simulated based on MATLAB programming. The result shows that the diffraction pattern consists of a series of concentric rings of light and dark. The diffraction pattern structure （ the number and order of light and dark rings） is determined by the corresponding half-wave band number k of the center point of the viewing screen. If k values are the same, the radius of the diffraction rings is uniquely deter- mined by the Fresnel circular aperture radius. Whether k is odd or even, the center spot radius of circular aperture diffraction patterns are in line with the radius of the formula of Airy spot radius of Fraunhofer circular aperture diffraction.