Variable fractional Fourier processor: A simple implementation

被引：26

作者：

Andres, P ^{[1
]}

Furlan, WD ^{[1
]}

Saavedra, G ^{[1
]}

Lohmann, AW ^{[1
]}

机构：

[1] UNIV ERLANGEN NURNBERG,INST PHYS,D-91058 ERLANGEN,GERMANY

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1997年 / 14卷 / 04期

关键词：

D O I：

10.1364/JOSAA.14.000853

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A new set of optical implementations of the fractional Fourier transform (FRT) is developed by use of Wigner matrix algebra. The reinterpretation of some elementary operations that synthesize a rotation in the phase-space domain allows us to propose a lensless setup for obtaining the FRT. This compact configuration is also very flexible, because the fractional degree of the transformation can be varied continuously by shifting the input and the output planes along the optical axis by proper amounts. The above results permit one to build an optical FRT processor formed by two FRT systems in cascade, with a spatial filter between them. We present the design of such a variable FRT processor, which contains only one lens. (C) 1997 Optical Society of America.

引用

页码：853 / 858

页数：6

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