NEW SIGNAL REPRESENTATION BASED ON THE FRACTIONAL FOURIER-TRANSFORM - DEFINITIONS

被引:53
作者
MENDLOVIC, D
ZALEVSKY, Z
DORSCH, RG
BITRAN, Y
LOHMANN, AW
OZAKTAS, H
机构
[1] WEIZMANN INST SCI,DEPT PHYS COMPLEX SYST,IL-76100 REHOVOT,ISRAEL
[2] BILKENT UNIV,FAC ELECT ENGN,BILKENT,TURKEY
来源
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 1995年 / 12卷 / 11期
关键词
D O I
10.1364/JOSAA.12.002424
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The fractional Fourier transform is a mathematical operation that generalizes the well-known Fourier transform. This operation has been shown to have physical and optical fundamental meanings, and it has been experimentally implemented by relatively simple optical setups. Based on the fractional Fourier-transform operation, a new space-frequency chart definition is introduced. By the application of various geometric operations on this new chart, such as radial and angular shearing and rotation, optical systems may be designed or analyzed. The field distribution, as well as full information about the spectrum and the space-bandwidth product, can be easily obtained in all the stages of the optical system. (C) 1995 Optical Society of America
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页码:2424 / 2431
页数:8
相关论文
共 11 条
[11]  
WOOD JC, 1992, SOC PHOTOOPTICAL INS, V1770, P358