FRACTIONAL FOURIER-TRANSFORMS AND THEIR OPTICAL IMPLEMENTATION .2.

被引：443

作者：

OZAKTAS, HM ^{[1
]}

MENDLOVIC, D ^{[1
]}

机构：

[1] TEL AVIV UNIV,FAC ENGN,IL-69978 TEL AVIV,ISRAEL

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1993年 / 10卷 / 12期

关键词：

Correlation; Fourier optics; Graded-index media; Optical information processing; Spatial filtering;

D O I：

10.1364/JOSAA.10.002522

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

The linear transform kernel for fractional Fourier transforms is derived. The spatial resolution and the space-bandwidth product for propagation in graded-index media are discussed in direct relation to fractional Fourier transforms, and numerical examples are presented. It is shown how fractional Fourier transforms can be made the basis of generalized spatial filtering systems: Several filters are interleaved between several fractional transform stages, thereby increasing the number of degrees of freedom available in filter synthesis.

引用

页码：2522 / 2531

页数：10

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