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| 也论分数傅里叶变换与菲涅耳衍射的等效性 |
| Discussion about the equivalency between fractional Fourier transform and Fresnel diffraction |
| 修订日期：2002-11-04 |
| DOI： |
| 中文关键词: 分数傅里叶变换,菲涅耳衍射,MATLAB程序设计语言 |
| 英文关键词:fractional Fourier transform,Fresnel diffraction,program language for MATLAB |
| 基金项目: |
| 王敦纯 曹俊卿 |
上海理工大学光电学院 上海200093
(王敦纯)
，上海理工大学光电学院 上海200093(曹俊卿)
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| 摘要点击次数: 2426 |
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| 中文摘要: |
| 介绍了分数傅里叶变换的定义及其用于光学衍射时必须满足的自洽性条件 ,推导了分数傅里叶变换的缩放性质 ;分析了菲涅耳衍射和分数傅里叶变换的等效性关系 ;运用 MATLAB程序设计语言编程模拟实现了菲涅耳衍射 ,给出了对分数傅里叶变换和菲涅耳衍射等效性有决定意义的三个参数之间的关系曲线 |
| 英文摘要: |
| The definitions of fractional Fourier transform are introduced in the paper,which is a generalization of conventional Fourier transform.Furthermore,the scaling property of fractional Fourier transform is worked out,which is quite different from that of conventional Fourier transform.On the basis of the scaling property,the equivalency between fractional Fourier transform and Fresnel diffraction is analyzed and some conclusions are carried out.The feasibility of the equivalency between fractional Fourier transform and Fresnel diffraction is demonstrated by computer simulation using MATLAB,where the curves showing the relationship among three vital parameters are given. |
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