基于角谱分析的分数傅里叶变换数值模拟算法  

Fractional Fourier Transform Digital Algorithm Based on Angular Spectrum Theory

作　　者：陈文静[1] 苏显渝[1] 

机构地区：[1]四川大学光电系,成都610064

出　　处：《光电子．激光》2002年第4期401-404,共4页Journal of Optoelectronics·Laser

基　　金：国家自然科学基金资助项目 (6982 70 0 1)

摘　　要：从分数傅里叶变换的表达式入手 ,分析了分数傅里叶变换与菲涅尔衍射积分之间的关系 ,针对采用衍射积分的方法计算分数傅里叶变换的局限性 ,提出了基于角谱分析的数值模拟方法。We deduce the relationship between the Fresnel diffraction and fractional Fourier transform from the fractional Fourier transform formula,and know that fractional Forier transform of signal can be obtained using Fresnel diffraction taken a zoom factor into account.But using diffraction integral formula,we cant calculate any order fractional Fourier transform because the distance factor 'Z' corresponding the order of fractional Forier transform is appeared at the denominator.For overcoming the short draw of diffraction integral,we propose a new digital calculating method based on angular spectrum theory.Using it to compute fractional Fourier transform does not introduce any approximation compared with traditional diffraction integral,and more perfect result can be obtained.Computer simulation experiment also verify our theory description.

关 键 词：角谱分析 分数傅里叶变换 数值模拟算法 

分 类 号：O174.22[理学—数学]