Digital implementation of fractional Fourier transform hologram

被引：0

作者：

Guo, YK ^{[1
]}

Xie, SW ^{[1
]}

Zeng, YS ^{[1
]}

Gao, FH ^{[1
]}

Zhang, YX ^{[1
]}

Gao, F ^{[1
]}

Du, CL ^{[1
]}

机构：

[1] Sichuan Univ, Dept Phys, Chengdu 610064, Peoples R China

来源：

HOLOGRAPHY, DIFFRACTIVE OPTICS, AND APPLICATIONS | 2002年 / 4924卷

关键词：

fractional Fourier transform (FRT); fractional order; computer-generated hologram (CGH);

D O I：

10.1117/12.481521

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Digital implementation of fractional Fourier transform hologram (FRTH) is studied. From the definition of fractional Fourier transform (FRT), its discrete form is obtained and then a fast FRT algorithm is generated based on fast Fourier transform (FFT). Therefore, with the algorithm whose numerical efficiency is equal to the FFT, FRT can be quickly calculated and moreover FRTCGH can be efficiently encoded and reconstructed. The digital implementation for FRTH can lead its advantages, such as flexibility of fabrication and variation with recording system parameters, to expanding its application fields in FRT and holography.

引用

页码：254 / 258

页数：5

共 50 条

[21] The fractional Fourier transform: theory, implementation and error analysis
Narayanan, VA
Prabhu, KMM
MICROPROCESSORS AND MICROSYSTEMS, 2003, 27 (10) : 511 - 521
[22] Lensless optical implementation of the coincidence fractional Fourier transform
Cai, Yangjian
Wang, Fei
OPTICS LETTERS, 2006, 31 (15) : 2278 - 2280
[23] Optical implementation of iterative fractional Fourier transform algorithm
Hahn, Joonku
Kim, Hwi
Lee, Byoungho
OPTICS EXPRESS, 2006, 14 (23) : 11103 - 11112
[24] Scaled fractional Fourier transform and its optical implementation
Hua, JW
Liu, LR
Li, GQ
APPLIED OPTICS, 1997, 36 (32): : 8490 - 8492
[25] Implementation of the fractional Fourier transform with a paraboloidal reflective mirror
Kong, F
Lu, B
OPTIK, 1997, 106 (01): : 42 - 43
[26] Implementation of fractional Fourier transform using holographic lens
Guo, YK
Huang, QZ
Du, JL
HOLOGRAPHIC DISPLAYS AND OPTICAL ELEMENTS II, 1998, 3559 : 71 - 76
[27] The Fractional Fourier Transform and its Application to Digital Watermarking
Taba, Mohamed Tahar
2013 8TH INTERNATIONAL WORKSHOP ON SYSTEMS, SIGNAL PROCESSING AND THEIR APPLICATIONS (WOSSPA), 2013, : 262 - 266
[28] Fractional Fourier transform applied to digital images encryption
Vilardy, Juan M.
Torres, Cesar O.
Mattos, Lorenzo
RIAO/OPTILAS 2007, 2008, 992 : 1067 - 1072
[29] NONSYMMETRICAL FOURIER-TRANSFORM HOLOGRAM
SZOPLIK, T
ARSENAULT, HH
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1984, 1 (12): : 1203 - 1205
[30] Imaginary angle fractional Fourier transform and its optical implementation
华建文
刘立人
李国强
Science in China(Series E:Technological Sciences), 1997, (04) : 374 - 378

← 1 2 3 4 5 →