Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32759
Synchronization of Semiconductor Laser Networks

Authors: R. M. López-Gutiérrez, L. Cardoza-Avendaño, H. Cervantes-De Ávila, J. A. Michel-Macarty, C. Cruz-Hernández, A. Arellano-Delgado, R. Carmona-Rodríguez

Abstract:

In this paper, synchronization of multiple chaotic semiconductor lasers is achieved by appealing to complex system theory. In particular, we consider dynamical networks composed by semiconductor laser, as interconnected nodes, where the interaction in the networks are defined by coupling the first state of each node. An interest case is synchronized with master-slave configuration in star topology. Nodes of these networks are modeled for the laser and simulate by Matlab. These results are applicable to private communication.

Keywords: Synchronization, chaotic laser, network.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1109009

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2236

References:


[1] L.M. Pecora, T.L. Carroll, Synchronization in chaotic systems, Phys. Rev. Lett. 64 (1990) 821–824.
[2] C. Cruz-Hernandez, H. Nijmeijer, Synchronization through filtering, Int. J. Bifurcat. Chaos 10 (4) (2000) 763–775.
[3] H. Sira-Ram´ırez, C. Cruz-Hernandez, Synchronization of chaotic systems: a generalized Hamiltonian systems approach, Int. Bifurcat. Chaos 11 (5) (2001) 1381–1395.
[4] D. Lopez-Mancilla, C. Cruz-Hernandez, Output synchronization of chaotic systems: model-matching approach with application to secure communication, Nonlinear Dyn. Syst. Theory 5 (2) (2005) 141–156.
[5] U. Feldmann, M. Hasler, W. Schwarz, Communication by chaotic signals: the inverse system approach, Int. J. Circ. Theory Appl. 24 (5) (1996) 551–579.
[6] H. Nijmeijer, I.M.Y. Mareels, An observer looks at synchronization, IEEE Trans. Circ. Syst. I 44 (10) (1997) 882–890.
[7] A. Boukabou, On nonlinear control and synchronization design for autonomous chaotic systems, Nonlinear Dyn. Syst. Theory 8 (2) (2008) 151–167.
[8] C. Cruz-Hernandez, A.A. Martynyuk, Advances in Chaotic Dynamics with Applications, vol. 4, Cambridge Scientific Publishers, London, 2010.
[9] K.M. Cuomo, A.V. Oppenheim, Circuit implementation of synchronized chaos with applications to communications, Phys. Rev. Lett. 71 (1993) 65–68.
[10] C. Cruz-Hernandez, D. Lopez-Mancilla, V. Garcı´ a, H. Serrano, R. Núñez, Experimental realization of binary signal transmission using chaos, J. Circ. Syst. Comput. 14 (3) (2005) 453–468.
[11] C. Cruz-Hernandez, Synchronization of time-delay Chua’s oscillator with application to secure communication, Nonlinear Dyn. Syst. Theory 4 (1) (2004) 1–13.
[12] C. Posadas-Castillo, R.M. Lopez-Gutierrez, C. Cruz-Hernandez, Synchronization of chaotic solid-state Nd:YAG lasers: application to secure communication, Commun. Nonlinear Sci. Numer. Simul. 13 (8) (2008) 1655–1667.
[13] L. Gamez-Guzman, C. Cruz-Hernandez, R.M. Lopez-Gutierrez, E.E. Garcia-Guerrero, Synchronization of Chua’s circuits with multi-scroll attractors: application to communication, Commun. Nonlinear Sci. Numer. Simul. 14 (6) (2009) 2765–2775.
[14] C. Cruz-Hernandez, N. Romero-Haros, Communicating via synchronized timedelay Chua’s circuits, Commun. Nonlinear Sci. Numer. Simul. 13 (3) (2008) 645–659.
[15] K. Kusumot, J. Ohtsubo, 1.5-GHz message transmission based on synchronization of chaos in semiconductor lasers, Opt. Lett. 27 (2002) 989–991.
[16] M.W. Lee, J. Paul, S. Sivaprakasam, K.A. Shore, Comparison of closedloop and open-loop feedback schemes of message decoding using chaotic laser diodes, Opt. Lett. 28 (2003) 2168–2170.
[17] J. Paul, S. Sivaprakasam, K.A. Shore, Dual-channel chaotic optical communications using external-cavity semiconductor lasers, J. Opt. Soc. Am. B 21 (2004) 514–521.
[18] Madan RN, (Guest Ed.). Chua’s Circuit: A Paradigm for Chaos, World Scientific, 1993.
[19] M.P. Kennedy, Robust Op-Amp realization of Chua’s circuit, Frequenz 46 (34) (1992) 66–80.
[20] B. Muthuswamy, L.O. Chua, Simplest chaotic circuit, Int. J. Bifurcat. Chaos 20 (5) (2010) 1567–1580.
[21] J. Lu, R. Chen, Generating multiscroll chaotic attractors: theories, methods and applications, Int. J. Bifurcat. Chaos 16 (4) (2006) 775–858.
[22] L. Cardoza-Avendano, V. Spirin, R.M. Lopez-Guti errez, C.A. Lopez- Mercado, C. Cruz-Hernandez, Experimental characterization of DFB and FP chaotic lasers with strong incoherent optical feedback, Opt. Laser Technol. 43 (5) (2011) 949–955.
[23] V. Spirin, C.A. Lopez-Mercado, S.V. Miridonov, L. Cardoza-Avendano, R.M. Lopez-Gutierrez, C. Cruz-Hernandez, Elimination of lowfrequency fluctuations of backscattered Rayleigh radiation from optical fiber with chaotic lasers, Opt. Fiber Technol. 17 (2011) 258–261.
[24] S. Tang, J.M. Liu, Chaotic pulsing and quasi-periodic route to chaos in a semiconductor laser with delayed opto-electronic feedback, IEEE J. Quantum Electron. 37 (2001) 329–336.
[25] Yuncai Anbang Wang, He Wang Hucheng, Enhancing the bandwidth of the optical chaotic signal generated by a semiconductor laser with optical feedback, IEEE Photon. Technol. Lett. 20 (2008) 1633–1635.
[26] A. Argyris, D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet, I. Fischer, Garcia-Ojalvo, C.R. Mirasso, L. Pesquera, K.A. Shore, Chaosbased communications at high bit rates using commercial fibre-optic links, Nature 438 (7066) (2005) 343–346.
[27] X.F. Wang, G. Chen, Synchronization in small-world dynamical networks, Int. J. Bifurcat. Chaos 12 (1) (2002) 187–192.
[28] X.F. Wang, Complex networks: topology, dynamics and synchronization, Int. J. Bifurcat. Chaos 12 (5) (2002) 885–916.
[29] C. Posadas-Castillo, C. Cruz-Hernandez, R.M. Lopez-Gutierrez, Experimental realization of synchronization in complex networks with Chua’s circuits like nodes, Chaos Solitons Fractals 40 (4) (2009) 1963– 1975.
[30] R.M. Lopez-Gutierrez, C. Posadas-Castillo, D. Lopez-Mancilla, C. Cruz-Hernandez, Communicating via robust synchronization of chaotic lasers, Chaos Solitons Fractals 42 (1) (2009) 277–285.
[31] C. Posadas-Castillo, C. Cruz-Hern andez, R.M. Lopez Gutierrez. Synchronization of 3D CNNs in irregulars arrays, in: Procs. of the 16th Mediterranean Conference on Control and Automation, June 25–27, Ajaccio, France, 2008, pp. 321–325.
[32] C. Posadas-Castillo, C. Cruz-Herna ndez, R.M. Lopez-Gutierrez, Synchronization of chaotic neural networks with delay in irregular networks, Appl. Math. Comput. 205 (1) (2008) 487–496.
[33] H. Serrano-Guerrero, C. Cruz-Hernandez, R.M. Lopez-Gutierrez, C. Posadas-Castillo, E. Inzunza-Gonzalez, Chaotic synchronization in star coupled networks of three-dimensional cellular neural networks and its application in communications, Int. J. Nonlinear Sci. Numer. Simul. 11 (8) (2010) 571–580.
[34] G. P. Agrawal, "Effect of Gain Nonlinearities on Period Doubling and Chaos in Directly Modulated Semiconductor Lasers," Applied Physics Letters, 49(16), 1986 pp. 1013–1015.