Synchronization and secure communication in time delayed semiconductor laser systems

Abstract We investigate the synchronization in coupled time delayed semiconductor laser models without and under the influence of external noise sources. The synchronization and its robustness are observed by mean synchronization error and the effect of parameter mismatch respectively. A communication scheme is introduced based on symmetrical encryption and decryption method in the frame of coupled synchronized lasers with optical feedback. The scheme is effective irrespective of the nature and dynamics of the transmitted signal. The security of the scheme is verified by the effect of relative parameter mismatch, key sensitivity frequency and cross correlation analysis. Numerical results support the proposed analysis.

[1]  R. E. Amritkar,et al.  Synchronization of chaotic orbits: The effect of a finite time step. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[2]  Ta-lun Yang,et al.  Breaking chaotic secure communication using a spectrogram , 1998 .

[3]  Siu-Chung Tam,et al.  Thermal lensing of diode side-pumped solid-state lasers , 2000 .

[4]  Shuo Tang,et al.  Optical-communication systems based on chaos in semiconductor lasers , 2001 .

[5]  Kevin M. Short,et al.  UNMASKING A HYPERCHAOTIC COMMUNICATION SCHEME , 1998 .

[6]  Kurths,et al.  Phase synchronization of chaotic oscillators. , 1996, Physical review letters.

[7]  Rajarshi Roy,et al.  Synchronization and symmetry breaking in mutually coupled fiber lasers. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Guanrong Chen,et al.  Breaking a chaos-based secure communication scheme designed by an improved modulation method , 2004, nlin/0411007.

[9]  Fei Wang,et al.  Tunable 12×10 GHz mode-locked semiconductor fiber laser incorporating a Mach-Zehnder interferometer filter , 2011 .

[10]  J. D. Farmer,et al.  Chaotic attractors of an infinite-dimensional dynamical system , 1982 .

[11]  Güémez,et al.  Modified method for synchronizing and cascading chaotic systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  A. Roy Chowdhury,et al.  Chaotic aspects of lasers with host-induced nonlinearity and its control , 2001 .

[13]  Bhanu P. Singh,et al.  A study of the effect of axial mode spacing on the single longitudinal mode performance in end pumped solid-state lasers , 2007 .

[14]  Hongxi Yin,et al.  Performance analysis of orthogonal optical chaotic division multiplexing utilizing semiconductor lasers , 2013 .

[15]  Bernd Blasius,et al.  Complex dynamics and phase synchronization in spatially extended ecological systems , 1999, Nature.

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

[17]  G. Shayeganrad.  Efficient design considerations for end-pumped solid-state-lasers , 2012 .

[18]  Wei Pan,et al.  Enhanced chaos synchronization and communication in cascade-coupled semiconductor ring lasers , 2014, Commun. Nonlinear Sci. Numer. Simul..

[19]  Lamberto Rondoni,et al.  Synchronization of time delayed semiconductor lasers and its applications in digital cryptography , 2011 .

[20]  Haizhen He,et al.  Time-controllable combinatorial inner synchronization and outer synchronization of anti-star networks and its application in secure communication , 2015, Commun. Nonlinear Sci. Numer. Simul..

[21]  Leon O. Chua,et al.  Transmission of Digital signals by Chaotic Synchronization , 1992, Chua's Circuit.

[22]  Wei Pan,et al.  Using polarization properties to enhance performance of chaos synchronization communication between vertical-cavity surface-emitting lasers , 2010 .

[23]  Chen Xu,et al.  Complex projective synchronization in drive-response stochastic coupled networks with complex-variable systems and coupling time delays , 2015, Commun. Nonlinear Sci. Numer. Simul..

[24]  A. P. Misra,et al.  Synchronization of spatiotemporal semiconductor lasers and its application in color image encryption , 2011, 1102.2775.

[25]  L. Tsimring,et al.  Generalized synchronization of chaos in directionally coupled chaotic systems. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[26]  Y. Kuramoto,et al.  Dephasing and bursting in coupled neural oscillators. , 1995, Physical review letters.

[27]  Xiao Fan Wang,et al.  Synchronization in Small-World Dynamical Networks , 2002, Int. J. Bifurc. Chaos.

[28]  Gonzalo Álvarez,et al.  Breaking network security based on synchronized chaos , 2004, Comput. Commun..

[29]  Lamberto Rondoni,et al.  Multi-image encryption based on synchronization of chaotic lasers and iris authentication , 2012 .

[30]  M. Lakshmanan,et al.  Chaos in Nonlinear Oscillators: Controlling and Synchronization , 1996 .

[31]  Muhammad Rezal Kamel Ariffin,et al.  Noise induced synchronization of time-delayed semiconductor lasers and authentication based asymmetric encryption , 2013 .

[32]  Parlitz,et al.  Encoding messages using chaotic synchronization. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[33]  T. Kapitaniak,et al.  Synchronization of chaos using continuous control. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[34]  Santo Banerjee,et al.  Optically injected laser system: characterization of chaos, bifurcation, and control. , 2004, Chaos.

[35]  Michael Peter Kennedy,et al.  Chaos shift keying : modulation and demodulation of a chaotic carrier using self-sychronizing chua"s circuits , 1993 .

[36]  J. Kurths,et al.  From Phase to Lag Synchronization in Coupled Chaotic Oscillators , 1997 .

[37]  Ljupco Kocarev,et al.  General approach for chaotic synchronization with applications to communication. , 1995, Physical review letters.

[38]  C. Cruz-Hernández,et al.  Experimental characterization of DFB and FP chaotic lasers with strong incoherent optical feedback , 2011 .

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

[40]  Leon O. Chua,et al.  Cryptography based on chaotic systems , 1997 .

[41]  Voss,et al.  Anticipating chaotic synchronization , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

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

[43]  Michael Peter Kennedy,et al.  The role of synchronization in digital communications using chaos. I . Fundamentals of digital communications , 1997 .

[44]  R. Lang,et al.  External optical feedback effects on semiconductor injection laser properties , 1980 .