消色散分数傅里叶变换系统设计的维格纳矩阵方法

利用光学系统的维格纳矩阵描述及其因式分解，探讨了光学分数傅里叶变换（FRT）中输入和输出尺度参数的不同物理解释，通过减少维格纳矩阵相应元素的波长依赖性，在一阶近似下，设计了消色莠FRT光学系统。设计结果表明在整个可见光波段具有较低的色散误差。

Wigner Algebra for the Design of Achromatic Fractional Fourier Transformers

We provide a matrix formalism of optical systems based on the Wigner distribution function (WDF).The resulting Wigner matrix includes elements that characterize wavelength dependent parameters f the optical systems.By factoring the general Wigner matrix of optical fractional Fourier transformations (ERT),we discuss the different physical interpretations about the input and output scale parameters.By undrstanding what is needed to reduce the wavelength dependence.we further design the optical systems which can implement the achromatic FRT with low chromatic aberrations over the entire visible spectrum.