用傅里叶变换分析圆孔夫琅和费衍射

Fourier to Analysis of Frounhofer Diffraction by a Circular Aperture

从傅里叶变换出发,推导了高斯光束圆孔衍射的解析解,与平行光在相同情况下的结果进行了比较,利用计算机数值计算绘出了两种情况下的光强分布曲线,通过比较发现,当满足圆孔半径a2<<ww0的条件下,高斯光束和圆孔夫琅和费衍射结论可用平行光圆孔夫琅和费衍射近似,其结果仅仅是忽略了精确解析解中n≥2的高次项。

The analytical solution to the Frounhofer diffraction of Gaussian beam by a circular aperture is inferred and is compared with the result from the parallel beam. Due to the results of the numerical computation, the distributing curves of light intensity are drawn in the two instances. After the comparison between of the two curves, a conclusion is drawn that when the circle aperture radius α^2〈〈ww0 the result of Gaussian beam＇s Frounhofer diffraction is approximate to parallel beam＇s Frounhofer diffraction. The difference is produced because of ignoring the terms with high degree which n ≥ 2 in the analytics solution.