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
收藏
页码:2522 / 2531
页数:10
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