Synchronization of spatiotemporal semiconductor lasers and its application in color image encryption

Optical chaos is a topic of current research characterized by high-dimensional nonlinearity which is attributed to the delay-induced dynamics, high bandwidth and easy modular implementation of optical feedback. In light of these facts, which add enough confusion and diffusion properties for secure communications, we explore the synchronization phenomena in spatiotemporal semiconductor laser systems. The novel system is used in a two-phase colored image encryption process. The high-dimensional chaotic attractor generated by the system produces a completely randomized chaotic time series, which is ideal in the secure encoding of messages. The scheme thus illustrated is a two-phase encryption method, which provides sufficiently high confusion and diffusion properties of chaotic cryptosystem employed with unique data sets of processed chaotic sequences. In this novel method of cryptography, the chaotic phase masks are represented as images using the chaotic sequences as the elements of the image. The scheme drastically permutes the positions of the picture elements. The next additional layer of security further alters the statistical information of the original image to a great extent along the three-color planes. The intermediate results during encryption demonstrate the infeasibility for an unauthorized user to decipher the cipher image. Exhaustive statistical tests conducted validate that the scheme is robust against noise and resistant to common attacks due to the double shield of encryption and the infinite dimensionality of the relevant system of partial differential equations.

[1]  Meng Zhan,et al.  Error function attack of chaos synchronization based encryption schemes. , 2003, Chaos.

[2]  L. Kocarev Chaos-based cryptography: a brief overview , 2001 .

[3]  Ljupco Kocarev,et al.  From chaotic maps to encryption schemes , 1998, ISCAS '98. Proceedings of the 1998 IEEE International Symposium on Circuits and Systems (Cat. No.98CH36187).

[4]  Soumitro Banerjee,et al.  Robust Chaos , 1998, chao-dyn/9803001.

[5]  Silvano Donati,et al.  Synchronization of chaotic lasers by optical feedback for cryptographic applications , 1997 .

[6]  Carroll,et al.  Synchronization in chaotic systems. , 1990, Physical review letters.

[7]  Lei Yang,et al.  Two chaos synchronization schemes and public-channel message transmission in a mutually coupled semiconductor lasers system , 2009 .

[8]  Jerome V Moloney,et al.  Multichannel communication using an infinite dimensional spatiotemporal chaotic system , 1999 .

[9]  Jinyu Kuang,et al.  PERIODICITY OF CHAOTIC TRAJECTORIES IN REALIZATIONS OF FINITE COMPUTER PRECISIONS AND ITS IMPLICATION IN CHAOS COMMUNICATIONS , 2003, nlin/0309005.

[10]  Guanrong Chen,et al.  On the Dynamical Degradation of Digital Piecewise Linear Chaotic Maps , 2005, Int. J. Bifurc. Chaos.

[11]  Roy,et al.  Communication with chaotic lasers , 1998, Science.

[12]  Wolfgang Kinzel,et al.  Public-channel cryptography based on mutual chaos pass filters , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Bruce Schneier,et al.  Applied cryptography : protocols, algorithms, and source codein C , 1996 .

[14]  Alan V. Oppenheim,et al.  Circuit implementation of synchronized chaos with applications to communications. , 1993, Physical review letters.

[15]  Ramon Vilaseca,et al.  Dynamics and coherence of a multimode semiconductor laser with optical feedback in an intermediate-length external-cavity regime , 2003 .

[16]  Adonis Bogris,et al.  Chaos-based communications at high bit rates using commercial fibre-optic links , 2006, SPIE/OSA/IEEE Asia Communications and Photonics.

[17]  Jesper Mørk,et al.  Chaos in semiconductor lasers with optical feedback: theory and experiment , 1992 .

[18]  Santo Banerjee,et al.  Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption , 2010 .

[19]  K A Shore,et al.  Signal masking for chaotic optical communication using external-cavity diode lasers. , 1999, Optics letters.

[20]  C. Masoller,et al.  Chaos shift-keying encryption in chaotic external-cavity semiconductor lasers using a single-receiver scheme , 2002, IEEE Photonics Technology Letters.

[21]  P K Shukla,et al.  Spatiotemporal chaos and the dynamics of coupled Langmuir and ion-acoustic waves in plasmas. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  V. M. Nandakumaran,et al.  Chaotic encryption using long-wavelength directly modulated semiconductor lasers , 2002 .

[23]  Ortwin Hess,et al.  Spatio-temporal dynamics of multi-stripe semiconductor lasers with delayed optical feedback , 1996 .

[24]  Atsushi Murakami Synchronization of chaos due to linear response in optically driven semiconductor lasers. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[25]  Claudio R. Mirasso,et al.  Encryption test of pseudo-aleatory messages embedded on chaotic laser signals: An information theory approach , 2008 .

[26]  Cryptographic key distribution in optical systems: quantum vs. chaos , 2009, 2009 11th International Conference on Transparent Optical Networks.

[27]  Hucheng He,et al.  Enhancing the Bandwidth of the Optical Chaotic Signal Generated by a Semiconductor Laser With Optical Feedback , 2008, IEEE Photonics Technology Letters.

[28]  Santo Banerjee,et al.  Chaos Synchronization with Genetic Engineering Algorithm for Secure Communications , 2011 .

[29]  K. Ikeda,et al.  High-dimensional chaotic behavior in systems with time-delayed feedback , 1987 .

[30]  Luigi Fortuna,et al.  Chaotic sequences to improve the performance of evolutionary algorithms , 2003, IEEE Trans. Evol. Comput..

[31]  Akihiro Tanaka,et al.  High Speed Quantum Key Distribution System , 2010, IEICE Trans. Fundam. Electron. Commun. Comput. Sci..

[32]  Silvano Donati,et al.  Chaos and locking in a semiconductor laser due to external injection , 1994 .

[33]  P. Colet,et al.  Criteria for synchronization of coupled chaotic external-cavity semiconductor lasers , 2002, IEEE Photonics Technology Letters.

[34]  Santo Banerjee,et al.  Synchronization between two different time-delayed systems and image encryption , 2007 .

[35]  Hongwei Chen,et al.  Communication using synchronization of optical-feedback-induced chaos in semiconductor lasers , 2001 .

[36]  J P Toomey,et al.  Correlation dimension signature of wideband chaos synchronization of semiconductor lasers. , 2006, Optics letters.

[37]  Guillaume Huyet,et al.  Dynamics of a semiconductor laser with optical feedback , 1999 .