Optical illustration of a varied fractional Fourier-transform order and the Radon-Wigner display

被引：33

作者：

Mendlovic, D

Dorsch, RG

Lohmann, AW

Zalevsky, Z

Ferreira, C

机构：

[1] WEIZMANN INST SCI,DEPT PHYS COMPLEX SYST,IL-76100 REHOVOT,ISRAEL

[2] UNIV VALENCIA,FAC FIS,DEPT INTERUNIV OPT,E-46100 BURJASSOT,VALENCIA,SPAIN

来源：

APPLIED OPTICS | 1996年 / 35卷 / 20期

关键词：

Fourier optics; optical information processing; fractional Fourier transforms; Wigner distribution functions; graded-index media; Radon-Wigner display;

D O I：

10.1364/AO.35.003925

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Based on an all-optical system, a display of a fractional Fourier transform with many fractional orders is proposed. Because digital image-processing terminology is used, this display is known as the Radon-Wigner transform. It enables new aspects for signal analysis that are related to time- and spatial-frequency analyses. The given approach for producing this display starts with a one-dimensional input signal although the output signal contains two dimensions. The optical setup for obtaining the fractional Fourier transform was adapted to include only fixed free-space propagation distances and variable lenses. With a set of two multifacet composite holograms, the Radon-Wigner display has been demonstrated experimentally. (C) 1996 Optical Society of America

引用

页码：3925 / 3929

页数：5

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