Optical encryption using a localized fractional Fourier transform (Unknown language)

In: Optical Engineering   ;  42 ,  12  ;  3566  ;  2003

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We propose a new method to encrypt and decrypt a two-dimensional amplitude image, which uses a jigsaw transform and a localized fractional Fourier transform. The jigsaw transform is applied to the original image to be encrypted, and the image is then divided into independent nonoverlapping segments. Each image segment is encrypted using different fractional parameters and two statistically independent random phase codes. The random phase codes, along with the set of fractional orders and jigsaw transform index, form the key to the encrypted data. Results of computer simulation are presented to verify the proposed idea and analyze the performance of the method. We also propose an optical implementation, which may find application for encrypting data stored in holographic memory. © 2003 Society of Photo-Optical Instrumentation Engineers.

Table of contents – Volume 42, Issue 12

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3406
Surgeon Maturin
O’Shea , Donald C. | 2003
3409
All-fiber acousto-optical tunable filter with loop structure
Li , Hao / Liu , Tong / Wen , Changyun / Soh , Yeng Chai / Zhang , Ying | 2003
3411
Fabrication of multilevel structures in self-development photosensitive hybrid sol-gel glass by a gray scale mask
Yu , Weixing / Yuan, X.-C. | 2003
3413
All-optical packet clock generation from decision pulses
Kalyvas , M. / Yiannopoulos , K. / Theophilopoulos , G. / Houbavlis , T. / Avramopoulos , H. / Guekos , G. | 2003
3415
Ultrafast pattern-operated all-optical Boolean XOR with semiconductor optical amplifer-assisted Sagnac switch
Houbavlis , T. / Zoiros , K. E. | 2003
3417
Digital optical switch based on amorphous silicon waveguide
Sirleto , L. / Iodice , M. / Rendina , I. / Della Corte , F. G. | 2003
3419
Fabrication method of Bragg gratings in silica channel optical waveguides
Arakawa , Tomiyuki / Uno , Yutaka / Ono , Hideki / Takahashi , Hiromi / Harase , Kentaro / Okayama , Hideaki | 2003
3421
Passive wavelength monitor based on multimode interference waveguide
Sookdhis , C. / Mei , T. / Djie , H. S. / Arokiaraj , J. | 2003
3423
Imaging and analysis of forensic striation marks
Heizmann, Michael / Puente Leo´n, Fernando | 2003
3433
Measurement of J integral by shadow spot generated from out-of-plane displacement
Luo , Perng-Fei / Chuang , C. K. / Chao , Yuh J. | 2003
3443
Simultaneous measurement of displacement and its spatial derivatives with a digital holographic method
Liu, Cheng | 2003
3447
Gain-flattened ultra-wideband fiber amplifiers
Cao, Yang / Raja, M. Yasin Akhtar | 2003
3452
Study of wedge-adjusted Talbot interferometer for writing fiber gratings with variable inscribed Bragg wavelengths
Li , Chuan / Zhang, Yi-Mo / Tian , Xue-Fei / Xiong , Bing-Heng | 2003
3456
Performance comparison of standard FEC and enhanced FEC in coded systems with high polarization mode dispersion
Yan, Juanjuan / Chen , Minghua / Xie , Shizhong / Zhou, Bingkun | 2003
3461
Interlaced interpolation weighting functions for multislice helical computed tomography
La Rivie`re , Patrick J. / Pan, Xiaochuan | 2003
3471
Fast restoration approach for rotational motion blurred image based on deconvolution along the blurring paths
Hong , Hanyu / Zhang , Tianxu | 2003
3487
Power, efficiency, and polarization analysis of a beamsplitter for the equipartition of infrared input power in the presence of angular, film-thickness, and spectral deviations
El-Saba, A. M. / Azzam, Rasheed M. A. | 2003
3491
Computer study of nonlinearity in constant current biased mercury-cadmium-telluride detectors
Alam, Mohammad S. / Predina , Joseph P. | 2003
3498
Third-generation infrared photon detectors
Rogalski, Antoni | 2003
3517
Heat transfer analysis of a dynamic infrared-to-visible converter
Sandoval , Jaime / Paez , Gonzalo / Strojnik, Marija | 2003
3524
Two-step phase-shifting algorithm
Almaza´n-Cue´llar , Sau´l / Malacara-Herna´ndez , Daniel | 2003
3532
Phase-shifting diffraction-grating interferometer for testing concave mirrors
Hwang, Tae-Joon / Kim, Seung-Woo | 2003
3537
Near-real-time phase difference amplification using multiple-beam interferometry and a liquid-crystal-phase-only spatial light modulator
Matsuda , Kiyofumi / Bold , Geoffrey T. / Barnes, Thomas H. / Eiju , Tomoaki / Grover, Chander P. / Sheppard , Colin J. R. | 2003
3545
Rapid calculation research of temperature fields in laser heat treatments
Li, Junchang / Merlin , J. / Qin , Yingxiong / Zheng , Qiguang / Fu , Yunchang | 2003
3551
Optical engines for high-performance liquid crystal on silicon projection systems
Meuret , Youri / De Visschere , Patrick | 2003
3557
Restoration of interlaced images degraded by variable velocity motion
Yitzhaky , Yitzhak / Stern , Adrian | 2003
3566
Optical encryption using a localized fractional Fourier transform
Nishchal, Naveen Kumar / Unnikrishnan, G. / Joseph , Joby / Singh, Kehar | 2003
3572
Optical sensor for semiconductor chip bonding
Ng, T. W. / Ng , C. W. | 2003
3575
All-optical switching with fast-response variable-index materials
Robillard , J. J. / Luna-Moreno , D. | 2003
3579
Optical and electro-optical properties of pulse laser deposited PLZT thin films
Escoubas , Ludovic / Huguet-Chanto^me , Pascal / Jelı´nek , Miroslav / Flory , Francois / Drouard , Emmanuel / Lancˇok , Ja´n / Simon , Jean-Jacques / Mazingue , Thomas | 2003
3585
Fabrication of Ag-doped polarizing glass by a sol-gel method
Wang , Dawei / Guo , Shiju / Yin , Sheng | 2003
3589
Position-invariant surface recognition and localization using infrared sensors
Barshan , Billur / Aytac¸ , Tayfun | 2003
3595
High speed three-dimensional profilometry utilizing laser diode arrays
Chang , Ming / Chang , Wei-Che / Lin , Kao-Hui | 2003
3600
Modeling of Spectralon diffusers for radiometric calibration in remote sensing
Bazalgette Courre`ges-Lacoste , G. / Schaarsberg , J. Groote / Sprik , R. / Delwart , S. | 2003
3608
Self-triggering pulsed time-of-flight laser range-finding method
Chen , Qiansong / Zhao , Dalong / Yang , Chengwei / Huo , Yujing | 2003
3612
Optical pumping of theXeF(C→A)and iodine 1.315-μm lasers by a compact surface discharge system
Knecht, B. A. / Fraser, R. D. / Wheeler, D. J. / Zietkiewicz, C. J. / Senin, A. A. / Mikheev, L. D. / Zuev, V. S. / Eden , J. G. | 2003
3612
Optical pumping of the XeF(C->A) and iodine 1.315-(micro)m lasers by a compact surface discharge system
Knecht, B.A. / Fraser, R.D. / Wheeler, D.J. / Zietkiewicz, C.J. / Senin, A.A. / Mikheev, L.D. / Zuev, V.S. / Eden, J.G. | 2003
3622
Profile coating and its application for Kirkpatrick-Baez mirrors
Liu , Chian / Assoufid, Lahsen / Conley , Ray / Macrander , Albert T. / Ice , Gene E. / Tischler , J. Z. | 2003