Scaled fractional Fourier transform and its optical implementation

被引:16
作者
Hua, JW
Liu, LR
Li, GQ
机构
[1] Shanghai Institute of Optics and Fine Mechanics, Academia Sinica, Shanghai, 201800
来源
APPLIED OPTICS | 1997年 / 36卷 / 32期
关键词
optics; Fourier transform;
D O I
10.1364/AO.36.008490
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The scaled fractional Fourier transform is suggested and is implemented optically by one lens for different values of phi and output scale. In addition, physically it relates the FRT with the general lens transform-the optical diffraction between two asymmetrically positioned planes before and after a lens. (C) 1997 Optical Society of America.
引用
收藏
页码:8490 / 8492
页数:3
相关论文
共 21 条
[1]   Fractional Fourier transform as a tool for investigation of fractal objects [J].
Alieva, T .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1996, 13 (06) :1189-1192
[2]   FRACTIONAL FOURIER-TRANSFORMS AND OPTICAL-SYSTEMS [J].
BERNARDO, LM ;
SOARES, ODD .
OPTICS COMMUNICATIONS, 1994, 110 (5-6) :517-522
[3]   Optical fractional Fourier transforms with complex orders [J].
Bernardo, LM ;
Soares, ODD .
APPLIED OPTICS, 1996, 35 (17) :3163-3166
[4]   FRACTIONAL FOURIER-TRANSFORMS AND IMAGING [J].
BERNARDO, LM ;
SOARES, ODD .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (10) :2622-2626
[5]   FRACTIONAL FOURIER TRANSFORMER OF VARIABLE ORDER BASED ON A MODULAR LENS SYSTEM [J].
DORSCH, RG .
APPLIED OPTICS, 1995, 34 (26) :6016-6020
[6]   CHIRP FILTERING IN THE FRACTIONAL FOURIER DOMAIN [J].
DORSCH, RG ;
LOHMANN, AW ;
BITRAN, Y ;
MENDLOVIC, D ;
OZAKTAS, HM .
APPLIED OPTICS, 1994, 33 (32) :7599-7602
[7]   FRACTIONAL FOURIER-TRANSFORM USED FOR A LENS-DESIGN PROBLEM [J].
DORSCH, RG ;
LOHMANN, AW .
APPLIED OPTICS, 1995, 34 (20) :4111-4112
[8]   FRACTIONAL FOURIER-TRANSFORM APPLIED TO SPATIAL-FILTERING IN THE FRESNEL DOMAIN [J].
GRANIERI, S ;
TRABOCCHI, O ;
SICRE, EE .
OPTICS COMMUNICATIONS, 1995, 119 (3-4) :275-278
[9]   Observing the fractional Fourier transform by free-space Fresnel diffraction [J].
Hua, JW ;
Liu, LR ;
Li, GQ .
APPLIED OPTICS, 1997, 36 (02) :512-513
[10]   GENERAL OPTICAL IMPLEMENTATIONS OF FRACTIONAL FOURIER-TRANSFORMS [J].
LIU, ST ;
XU, JD ;
ZHANG, Y ;
CHEN, LX ;
LI, CF .
OPTICS LETTERS, 1995, 20 (09) :1053-1055