The space-bandwidth product in the joint transform correlator optical encryption setup

Abstract In this work we study the joint transform correlator (JTC) optical encryption setup through the Wigner function. We found analytical expressions for the spatial and spatial frequency extent of the encrypted signal. Since the JTC is inherently an asymmetrical optical system, different expressions were found for each spatial axis and for their associated spatial frequency axes. We also compare these results with the dual random phase encoding technique. Finally, we found an analytical expression for the minimum separation between channels that avoids crosstalk in a wavelength multiplexing JTC architecture.

[1]  Linfei Chen,et al.  Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms. , 2006, Optics express.

[2]  Ramón Rodríguez-Vera,et al.  Image encryption based on moiré pattern performed by computational algorithms , 2004 .

[3]  Zeev Zalevsky,et al.  Space–bandwidth product of optical signals and systems , 1996 .

[4]  John T. Sheridan,et al.  Double random phase spread spectrum spread space technique for secure parallel optical multiplexing with individual encryption key , 2005, SPIE Optics + Photonics.

[5]  Jingjuan Zhang,et al.  A lensless optical security system based on computer-generated phase only masks , 2004 .

[6]  B Javidi,et al.  Encrypted optical memory system using three-dimensional keys in the Fresnel domain. , 1999, Optics letters.

[7]  Dafne Amaya,et al.  Wavelength multiplexing encryption using joint transform correlator architecture. , 2009, Applied optics.

[8]  Bahram Javidi,et al.  Secure optical data storage with random phase key codes by use of a configuration of a joint transform correlator. , 2003, Applied optics.

[9]  X C Cheng,et al.  Security enhancement of double-random phase encryption by amplitude modulation. , 2008, Optics letters.

[10]  B Javidi,et al.  Optical image encryption based on input plane and Fourier plane random encoding. , 1995, Optics letters.

[11]  Bahram Javidi,et al.  Fully phase encrypted image processor , 1999 .

[12]  J. A. Muñoz-Rodríguez,et al.  Computational cryptography based on trigonometric algorithms and intensity superposition , 2010 .

[13]  Yunlong Sheng,et al.  Optical implementation of image encryption using random phase encoding , 1996 .

[14]  Jingjuan Zhang,et al.  Multiple-image encryption by wavelength multiplexing. , 2005, Optics letters.

[15]  G Unnikrishnan,et al.  Optical encryption system that uses phase conjugation in a photorefractive crystal. , 1998, Applied optics.

[16]  G. Unnikrishnan,et al.  Optical encryption by double-random phase encoding in the fractional Fourier domain. , 2000, Optics letters.

[17]  Kehar Singh,et al.  Double random fractional Fourier domain encoding for optical security , 2000 .

[18]  Dafne Amaya,et al.  Multichanneled encryption via a joint transform correlator architecture. , 2008, Applied optics.

[19]  Jingjuan Zhang,et al.  Double random-phase encoding in the Fresnel domain. , 2004, Optics letters.

[20]  Kehar Singh,et al.  Securing information using fractional Fourier transform in digital holography [rapid communication] , 2004 .

[21]  Bahram Javidi,et al.  Optical encryption using a joint transform correlator architecture , 2000 .

[22]  Mj Martin Bastiaans.  Wigner distribution function and its application to first-order optics , 1979 .

[23]  John J. Healy,et al.  Sampling and discretization of the linear canonical transform , 2009, Signal Process..

[24]  Chau-Jern Cheng,et al.  Design and implementation of an optical joint transform encryption system using complex-encoded key mask , 2008 .

[25]  John T. Sheridan,et al.  Tracking the space bandwidth product in optical systems , 2005, SPIE OPTO-Ireland.

[26]  John T. Sheridan,et al.  Image encryption and the fractional Fourier transform , 2003 .

[27]  B Javidi,et al.  Spread-space spread-spectrum technique for secure multiplexing. , 2007, Optics letters.

[28]  Bahram Javidi,et al.  Design of input phase mask for the space bandwidth of the optical encryption system , 2006 .

[29]  John T. Sheridan,et al.  Optical encryption and the space bandwidth product , 2005 .