Golay6为非冗余的复杂光瞳结构,导出Golay6结构复杂光瞳的光瞳函数解析式和点扩散函数的解析式,在此基础上用Matlab软件模拟了调制传递函数图像,并对目标图像进行模拟成像。针对所成像对比度下降问题,在不含噪声和含噪声情况下分别进行了讨论,利用分数阶微分算子对模拟所得图像进行图像增强,结果表明经分数阶微分算子空域增强后,图像质量明显提高。

Golay 6 is a nonredundant complex pupil configuration. The formulas of the pupil function and point spread function(PSF) of the Golay6 complex pupil are revealed about nonredundant Golay6 configuration. Based on the pupil function and the PSF, its modulation transfer function(MTF) and the object image are simulated by the Matlab, To improve the Contrast ratio of the image of Golay 6 complex pupil system, the fractional differential operator is used to enhance the images with noise and without noise. The result shows that the image quality is improved obviously by using fractional differential operator.