Computer generated hologram of asymmetry fractional Fourier transform

被引:0
作者
Sheng, ZX [1 ]
Wang, HX [1 ]
He, JF [1 ]
Zhou, YJ [1 ]
Wang, J [1 ]
Mao, CR [1 ]
机构
[1] Xian Hongqing Inst High Tech, Dept Phys, Xian 710025, Peoples R China
来源
HOLOGRAPHY, DIFFRACTIVE OPTICS, AND APPLICATIONS II, PTS 1 AND 2 | 2005年 / 5636卷
关键词
fractional Fourier transform (FRT); computer generated hologram (CGH); detour phase coding method; optical security; asymmetry; anti-counterfeit; optical encryption; transform order; image reconstruction; simulation;
D O I
10.1117/12.574531
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A new optical encryption technique based on computer-generated hologram (CGH) and fractional Fourier transform (FRT) is presented. And the algorithm of making asymmetry FRT CGH is provided in this paper. In this method, the fractional Fourier transform of the input image is performed by two one-dimensional FRT with different orders in the x and y directions in cascade. With Lohmann III detour phase encoding method and computer plotting program, the transformed image is encoded and fabricated into CGH on the computer. Then a piece of asymmetry fractional Fourier transform CGH (AFRTCGR) of original input image is obtained. In order to reconstruct the encoded image, a special fractional Fourier transform systems with two special cylinder lens' are needed. Namely, only when the transform order in each direction is respectively matched with that of the asymmetry fractional Fourier transform CGH, can the encoded image be reconstructed exactly. Because of its particularity of image reconstruction, it is regarded as a new optical security system and can be used in anti-counterfeiting. When it is used to encrypt image or to anti-Counterfeit, anticounterfeiting intensity can be improved greatly. So it has very high applying value.
引用
收藏
页码:630 / 634
页数:5
相关论文
共 50 条
[21]   Image encryption by using fractional Fourier transform and jigsaw transform in image bit planes [J].
Sinha, A ;
Singh, K .
OPTICAL ENGINEERING, 2005, 44 (05) :1-6
[22]   Encoding plaintext by Fourier transform hologram in double random phase encoding using fingerprint keys [J].
Takeda, Masafumi ;
Nakano, Kazuya ;
Suzuki, Hiroyuki ;
Yamaguchi, Masahiro .
JOURNAL OF OPTICS, 2012, 14 (09)
[23]   Improvement of reconstruction in 3D computer-generated holograms using 1D Fourier transform operations [J].
Nagashima, K .
OPTICS AND LASER TECHNOLOGY, 2001, 33 (05) :329-334
[24]   Visualization of the Quantum Fourier Transform Using a Quantum Computer Simulator [J].
Ioannis G. Karafyllidis .
Quantum Information Processing, 2003, 2 :271-288
[25]   Color image encryption based on joint fractional Fourier transform correlator [J].
Lu, Ding ;
Jin, Weimin .
OPTICAL ENGINEERING, 2011, 50 (06)
[26]   Secure optical encryption based on ghost imaging with fractional Fourier transform [J].
Zhao, Shengmei ;
Yu, Xiaodi ;
Wang, Le ;
Li, Wei ;
Zheng, Baoyu .
OPTICS COMMUNICATIONS, 2020, 474
[27]   Image encryption scheme based on fractional Mellin transform and phase retrieval technique in fractional Fourier domain [J].
Zhou, Nanrun ;
Liu, Xingbin ;
Zhang, Ye ;
Yang, Yixian .
OPTICS AND LASER TECHNOLOGY, 2013, 47 :341-346
[28]   Optical image encryption and authentication using phase-only computer-generated hologram [J].
Wang, Wenqi ;
Wang, Xiaogang ;
Xu, Bijun ;
Chen, Junlang .
OPTICS AND LASERS IN ENGINEERING, 2021, 146
[29]   Asymmetric multiple-image encryption based on the cascaded fractional Fourier transform [J].
Li, Yanbin ;
Zhang, Feng ;
Li, Yuanchao ;
Tao, Ran .
OPTICS AND LASERS IN ENGINEERING, 2015, 72 :18-25
[30]   Perturbation in the Fractional Fourier Span due to Erroneous Transform Order and Window Function [J].
Shankar, Sukrit ;
Patsa, Chetana Shanta ;
Sharma, Jaydev .
PROCEEDINGS OF WORLD ACADEMY OF SCIENCE, ENGINEERING AND TECHNOLOGY, VOL 27, 2008, 27 :329-331