对称分布的相位型互补衍射屏的夫琅禾费衍射

The Fraunhofer diffraction of the phase-type complementary screen of symmetrical distribution

为了验证巴比涅原理在相位型互补衍射屏的应用,建立了相位型互补衍射屏的数学模型,由理论分析得出了二者复振幅透过率的表达式,与用傅里叶光学方法得出其在频谱面上光强分布的表达式相同.由计算机模拟得到抛物柱面相位型互补衍射屏的夫琅禾费衍射光强的分布规律,与理论分析一致,得出分布规律为偶函数的相位型互补衍射屏的衍射符合巴比涅原理.

In order to validate the application of the Babinet＇s principle in the phase-type complementary screen,the mathematical model of the phase-type complementary screens is established.From the theoretical analyses,the expressions of the transmissivity of complex amplitude of the two complementary screens are obtained.By means of the optical Fourier transform method,it is verified that the expressions of the light intensity distribution in the spectrum are the same.Through computer simulation,it is shown that the light intensity distribution rules of the Fraunhofer diffraction of the parabolic cylinder phase-type complementary screens are the same as the theoretical analyses and the diffraction of the phase-type complementary screens that the distribution rules are even functions accords with the Babinet＇s principle.