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Abstract:

The time evolution of the output of a semiconductor laser subject to optical feedback can exhibit high-dimensional chaotic fluctuations. In this contribution, our aim is to quantify the complexity of the chaotic time-trace generated by a semiconductor laser subject to delayed optical feedback. To that end, we discuss the properties of two recently introduced complexity measures based on information theory, namely the permutation entropy (PE) and the statistical complexity measure (SCM). The PE and SCM are defined as a functional of a symbolic probability distribution, evaluated using the Bandt-Pompe recipe to assign a probability distribution function to the time series generated by the chaotic system. In order to evaluate the performance of these novel complexity quantifiers, we compare them to a more standard chaos quantifier, namely the Kolmogorov-Sinai entropy. Here, we present numerical results showing that the statistical complexity and the permutation entropy, evaluated at the different time-scales involved in the chaotic regime of the laser subject to optical feedback, give valuable information about the complexity of the laser dynamics. © 2010 SPIE.

Registro:

Documento: Conferencia
Título:Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures
Autor:Soriano, M.C.; Zunino, L.; Rosso, O.A.; Mirasso, C.R.
Ciudad:Brussels
Filiación:Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC), CSIC-UIB, Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain
Centro de Investigaciones Ópticas (CONICET la Plata - CIC), C.C. 3, 1897 Gonnet, Argentina
Departamento de Ciencias Básicas, Facultad de Ingeniería, Universidad Nacional de la Plata (UNLP), 1900 La Plata, Argentina
Instituto de Ciências Exatas (Fisica), Universidade Federal de Minas Gerais, Campus Pampulha, Av. Antônio Carlos, 6627, 31270-901 Belo Horizonte - MG, Brazil
Chaos and Biology Group, Instituto de Cálculo, Ciudad Universitaria, Pabellón II, 1428 Ciudad de Buenos Aires, Argentina
Palabras clave:Chaos; Optical feedback; Permutation entropy; Semiconductor lasers; Statistical complexity; Time delay identification; Chaos; Chaos quantifiers; Chaotic fluctuations; Complexity measures; High-dimensional; Kolmogorov-Sinai entropy; Laser dynamics; Numerical results; Permutation entropy; Statistical complexity; Time delay identification; Time evolutions; Time-scales; Chaotic systems; Distribution functions; Entropy; Information theory; Laser theory; Lasers; Probability density function; Semiconductor lasers; Time delay; Time series; Feedback
Año:2010
Volumen:7720
DOI: http://dx.doi.org/10.1117/12.863581
Título revista:Semiconductor Lasers and Laser Dynamics IV
Título revista abreviado:Proc SPIE Int Soc Opt Eng
ISSN:0277786X
CODEN:PSISD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v7720_n_p_Soriano

Referencias:

  • Wieczorek, S., Krauskopf, B., Lenstra, D., Unifying view of bifurcations in a semiconductor laser subject to optical injection (1999) Optics Communications, 172 (1), pp. 279-295. , DOI 10.1016/S0030-4018(99)00603-3
  • Mork, J., Tromborg, B., Mark, J., Chaos in semiconductor lasers with optical feedback: Theory and experiment (1992) IEEE J. Quantum Electron., 28, pp. 93-108
  • Detienne, D.H., Gray, G.R., Agrawal, G.P., Lenstra, D., Semiconductor laser dynamics for feedback from a finite-penetration-depth phase-conjugatemirror (1997) IEEE J. Quantum Electron., 33, pp. 838-844
  • Goedgebuer, J.P., Larger, L., Porte, H., Optical cryptosystem based on synchronization of hyperchaos generated by a delayed feedback tunable laser diode (1998) Phys. Rev. Lett., 80, pp. 2249-2252
  • Yousefi, M., Lenstra, D., Dynamical behavior of a semiconductor laser with filtered external optical feedback (1999) IEEE J. Quantum Electron, 35, pp. 970-976
  • Krauskopf, B., Lenstra, D., (2000) [Fundamental Issues of Nonlinear Laser Dynamics], AIP Conference Proceedings, 548. , American Institute of Physics
  • Fischer, I., Hess, O., Elsässer, W., Göbel, E., High-dimensional chaotic dynamics of an external cavity semiconductor laser (1994) Phys. Rev. Lett., 73, pp. 2188-2191
  • Vicente, R., Daudén, J., Colet, P., Toral, R., Analysis and characterization of the hyperchaos generated by a semiconductor laser subject to a delayed feedback loop (2005) IEEE J. Quantum Electron., 41, pp. 541-548
  • Mirasso, C.R., Colet, P., Garcia-Fernandez, P., Synchronization of chaotic semiconductor lasers: Application to encoded communications (1996) IEEE Phot. Tech. Lett., 8, pp. 299-301
  • Annovazzi-Lodi, V., Donati, S., Sciré, A., Synchronization of chaotic injected-laser systems and its application to optical cryptography (1996) IEEE J. Quantum Electron., 32, pp. 953-959
  • Vanwiggeren, G.D., Roy, R., Communication with chaotic lasers (1998) Science, 279, pp. 1198-1200
  • Ohtsubo, J., Chaos synchronization and chaotic signal masking in semiconductor lasers with optical feedback (2002) IEEE Journal of Quantum Electronics, 38 (9), pp. 1141-1154. , DOI 10.1109/JQE.2002.801883, PII 1011092002801883
  • Argyris, A., Syvridis, D., Larger, L., Annovazzi-Lodi, V., Colet, P., Fischer, I., García-Ojalvo, J., Shore, K.A., Chaos-based communications at high bit rates using commercial fibre-optic links (2005) Nature, 438, pp. 343-346
  • Udaltsov, V.S., Goedgebuer, J.P., Larger, L., Cuenot, J.B., Levy, P., Rhodes, W.T., Cracking chaos-based encryption systems ruled by nonlinear time delay differential equations (2003) Phys. Lett. A, 308, pp. 54-60
  • Soriano Colet, C.M.P., Mirasso, C.R., Security implications of Open- and Closed-Loop receivers in all-optical chaos-based communications (2009) IEEE Phot. Tech. Lett., 21, pp. 426-428
  • Jacobo, A., Soriano, M.C., Mirasso, C.R., Colet, P., Chaos-based optical communications: Encryption versus nonlinear filtering (2010) IEEE J. Quantum Electron., 46, pp. 499-505
  • Farmer, J.D., Chaotic attractors of an infinite-dimensional dynamical system (1982) Physica D, 4, pp. 366-393
  • Grassberger, P., Procaccia, I., Measuring the strangeness of strange attractors (1983) Physica D, 9, pp. 189-208
  • Pesin Ya., B., Characteristic Lyapunov exponents and smooth ergodic theory (1977) Russian Math. Surv., 32, pp. 55-114
  • Rosso, O.A., Larrondo, H.A., Martín, M.T., Plastino, A., Fuentes, M.A., Distinguishing noise from chaos (2007) Phys. Rev. Lett., 99, p. 154102
  • Amigó, J.M., Zambrano, S., Sanjuán, M.A.F., True and false forbidden patterns in deterministic and random dynamics (2007) Europhys. Lett., 79, p. 50001
  • Hegger, R., Kantz, H., Schreiber, T., Practical implementation of nonlinear time series methods: The TISEAN package (1999) CHAOS, 9, pp. 413-435
  • Lang, R., Kobayashi, K., External optical feedback effects on semiconductor injection laser properties (1980) IEEE J. Quantum Electron., 16, pp. 347-355
  • Risch, Ch., Voumard, C., Self-pulsation in the output intensity and spectrum of GaAsAlGaAs cw diode lasers coupled to a frequency-selective external optical cavity (1977) J. Appl. Phys., 48, pp. 2083-2085
  • Soriano, M.C., Yousefi, M., Danckaert, J., Barland, S., Romanelli, M., Giacomelli, G., Marin, F., Low-Frequency Fluctuations in Vertical-Cavity Surface-Emitting Lasers with Polarization Selective Feedback: Experiment and Theory (2004) IEEE Journal on Selected Topics in Quantum Electronics, 10 (5), pp. 998-1005. , DOI 10.1109/JSTQE.2004.835325
  • Lenstra, D., Verbeek, B., Boef, A.D., Coherence collapse in single-mode semiconductor lasers due to optical feedback (1985) IEEE J. Quantum Electron., 21, pp. 674-679
  • Tronciu, V., Ermakov, I., Colet, P., Mirasso, C.R., Chaotic dynamics of a semiconductor laser with double cavity feedback: Applications to phase shift keying modulation (2008) Opt. Comm., 281, pp. 4747-4752
  • Soriano, M.C., Ruiz-Oliveras, F., Colet, P., Mirasso, C.R., Synchronization properties of coupled semiconductor lasers subject to filtered optical feedback (2008) Phys. Rev. e, 78, p. 046218
  • Juang, C., Huang, C.C., Hwang, T.M., Juang, J., Lin, W.W., Optoelectronic delayed-feedback and chaos in quantum-well laser diodes (2001) Opt. Comm., 192, pp. 77-81
  • Feldman, D.P., Crutcheld, J.P., Measures of statistical complexity: Why? (1998) Phys. Lett. A, 238, pp. 244-252
  • Lamberti, P.W., Martín, M.T., Plastino, A., Rosso, O.A., Intensive entropic non-triviality measure (2004) Phys. A, 334, pp. 119-131
  • López-Ruiz, R., Mancini, H.L., Calbet, X., A statistical measure of complexity (1995) Phys. Lett. A, 209, pp. 321-326
  • Bandt, C., Pompe, B., Permutation entropy: A natural complexity measure for time series (2002) Phys. Rev. Lett., 88, p. 174102
  • Cao, Y., Tung, W., Gao, J.B., Protopopescu, V.A., Hively, L.M., Detecting dynamical changes in time series using the permutation entropy (2004) Phys. Rev. e, 70, p. 046217
  • Zunino, L., Pérez, D.G., Martín, M.T., Garavaglia, M., Plastino, A., Rosso, O.A., Permutation entropy of fractional Brownian motion and fractional Gaussian noise (2008) Phys. Lett. A, 372, pp. 4768-4774
  • Zunino, L., Soriano, M.C., Fischer, I., Rosso, O.A., Mirasso, C.R., An Information Theory Approach to Unveil Time Delay Dynamics from Time Series Analysis, , preparation
  • Soriano, M.C., Zunino, L., Rosso, O.A., Fischer, I., Mirasso, C.R., Time Scales of the Chaotic Semiconductor Laser Dynamics under the Lens of Information Theory Quantiers, , preparation
  • Bandt, C., Keller, G., Pompe, B., Entropy of interval maps via permutations (2002) Nonlinearity, 15, pp. 1595-1602A4 - The Society of Photo-Optical Instrumentation Engineers (SPIE); Brussels Photonics Team (B-PHOT); Brussels-Capital Region; Fonds Wetenschappelijk Onderzoek (FWO); International Commission for Optics (ICO)

Citas:

---------- APA ----------
Soriano, M.C., Zunino, L., Rosso, O.A. & Mirasso, C.R. (2010) . Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures. Semiconductor Lasers and Laser Dynamics IV, 7720.
http://dx.doi.org/10.1117/12.863581
---------- CHICAGO ----------
Soriano, M.C., Zunino, L., Rosso, O.A., Mirasso, C.R. "Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures" . Semiconductor Lasers and Laser Dynamics IV 7720 (2010).
http://dx.doi.org/10.1117/12.863581
---------- MLA ----------
Soriano, M.C., Zunino, L., Rosso, O.A., Mirasso, C.R. "Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures" . Semiconductor Lasers and Laser Dynamics IV, vol. 7720, 2010.
http://dx.doi.org/10.1117/12.863581
---------- VANCOUVER ----------
Soriano, M.C., Zunino, L., Rosso, O.A., Mirasso, C.R. Quantifying complexity of the chaotic regime of a semiconductor laser subject to feedback via information theory measures. Proc SPIE Int Soc Opt Eng. 2010;7720.
http://dx.doi.org/10.1117/12.863581