Year 2021,
Volume: 3 Issue: 1, 29 - 33, 30.06.2021
Nasr Saeed
,
Alex Stéphane Kemnang Tsafack
,
Boudoue Malwe Hubert
,
Sifeu T. Kingni
References
- Argyris, A., D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet,
et al., 2005 Chaos-based communications at high bit
rates using commercial fibre-optic links. Nature 438: 343–
346.
- Bindu, V. and V. Nandakumaran, 2000 Numerical studies
on bi-directionally coupled directly modulated semiconductor
lasers. Physics Letters A 277: 345–351.
- Colet, P. and R. Roy, 1994 Digital communication with synchronized
chaotic lasers. Optics letters 19: 2056–2058.
- Danckaert, J., B. Nagler, J. Albert, K. Panajotov, I. Veretennicoff,
et al., 2002 Minimal rate equations describing polarization
switching in vertical-cavity surface-emitting lasers.
Optics Communications 201: 129–137.
- Goedgebuer, J.-P., L. Larger, and H. Porte, 1998 Optical cryptosystem
based on synchronization of hyperchaos generated
by a delayed feedback tunable laser diode. Physical
Review Letters 80: 2249.
- Kingni, S., J. T. Mbé, and P.Woafo, 2012 Nonlinear dynamics
in vcsels driven by a sinusoidally modulated current and
rössler oscillator. The European Physical Journal Plus 127:
1–10.
- Kingni, S. T., C. Ainamon, V. K. Tamba, and J. C. OROU, 2020
Directly modulated semiconductor ring lasers: Chaos synchronization
and applications to cryptography communications.
Chaos Theory and Applications 2: 31–39.
- Kouomou, Y. C. and P. Woafo, 2003 Stability analysis for
the synchronization of semiconductor lasers with ultrahigh
frequency current modulation. Physics Letters A 308:
381–390.
- Li, X., W. Pan, B. Luo, D. Ma, and W. Zhang, 2007 Nonlinear
dynamics and localized synchronization in mutually
coupled vcsels. Optics & Laser Technology 39: 875–880.
- Masoller, C., M. S. Torre, and K. A. Shore, 2007 Polarization
dynamics of current-modulated vertical-cavity surfaceemitting
lasers. IEEE journal of quantum electronics 43:
1074–1082.
- Mbé, J. T., K. Takougang, and P. Woafo, 2010 Chaos and
pulse packages in current-modulated vcsels. Physica
Scripta 81: 035002.
- Roy, A., A. Misra, and S. Banerjee, 2019 Chaos-based image
encryption using vertical-cavity surface-emitting lasers.
Optik 176: 119–131.
- Roy, R. and K. S. Thornburg Jr, 1994 Experimental synchronization
of chaotic lasers. Physical Review Letters
72: 2009.
- Sciamanna, M., I. Gatare, A. Locquet, and K. Panajotov, 2007
Polarization synchronization in unidirectionally coupled
vertical-cavity surface-emitting lasers with orthogonal
optical injection. Physical Review E 75: 056213.
- Sugawara, T., M. Tachikawa, T. Tsukamoto, and T. Shimizu,
1994 Observation of synchronization in laser chaos. Physical
review letters 72: 3502.
- Tabaka, A., M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer,
et al., 2006 Dynamics of vertical-cavity surface-emitting
lasers in the short external cavity regime: Pulse packages
and polarization mode competition. Physical Review A
73: 013810.
- Takougang Kingni, S., J. Hervé Talla Mbé, and P.Woafo, 2012
Semiconductor lasers driven by self-sustained chaotic
electronic oscillators and applications to optical chaos
cryptography. Chaos: An Interdisciplinary Journal of
Nonlinear Science 22: 033108.
- Valle, A., M. Sciamanna, and K. Panajotov, 2007 Nonlinear
dynamics of the polarization of multitransverse mode
vertical-cavity surface-emitting lasers under current modulation.
Physical Review E 76: 046206.
- Vanwiggeren, G. D. and R. Roy, 1998 Communication with
chaotic lasers. Science 279: 1198–1200.
- Wang, H., T. Lu, and Y. Ji, 2020 Key space enhancement
of a chaos secure communication based on vcsels with a
common phase-modulated electro-optic feedback. Optics
Express 28: 23961–23977.
- Woafo, P. and R. A. Kraenkel, 2002 Synchronization: Stability
and duration time. Physical Review E 65: 036225.
- Xie, Y.-Y., J.-C. Li, C. He, Z.-D. Zhang, T.-T. Song, et al., 2016
Long-distance multi-channel bidirectional chaos communication
based on synchronized vcsels subject to chaotic
signal injection. Optics Communications 377: 1–9.
- Zhong, D.-Z., G.-Q. Xia, Z.-M. Wu, and X.-H. Jia, 2008 Complete
chaotic synchronization characteristics of the linearpolarization
mode of vertical-cavity surface-emitting
semiconductor lasers with isotropic optical feedback. Optics
communications 281: 1698–1709.
Chaos synchronization in chaotic current modulated VCSELs by bidirectional coupling
Year 2021,
Volume: 3 Issue: 1, 29 - 33, 30.06.2021
Nasr Saeed
,
Alex Stéphane Kemnang Tsafack
,
Boudoue Malwe Hubert
,
Sifeu T. Kingni
Abstract
This paper reports on the synchronization proprieties in bidirectional coupled current modulated vertical cavity surface-emitting lasers (CMVCSELs) based on the combined model of Danckaert et al.. Regular pulse packages and chaotic behaviors are found in CMVCSEL during the numerical results. The suitable coupling strength leading to high quality of synchronization is determined by numerical analysis. The consequence of the parameter mismatch and the duration of the synchronization process are also highlighted.
References
- Argyris, A., D. Syvridis, L. Larger, V. Annovazzi-Lodi, P. Colet,
et al., 2005 Chaos-based communications at high bit
rates using commercial fibre-optic links. Nature 438: 343–
346.
- Bindu, V. and V. Nandakumaran, 2000 Numerical studies
on bi-directionally coupled directly modulated semiconductor
lasers. Physics Letters A 277: 345–351.
- Colet, P. and R. Roy, 1994 Digital communication with synchronized
chaotic lasers. Optics letters 19: 2056–2058.
- Danckaert, J., B. Nagler, J. Albert, K. Panajotov, I. Veretennicoff,
et al., 2002 Minimal rate equations describing polarization
switching in vertical-cavity surface-emitting lasers.
Optics Communications 201: 129–137.
- Goedgebuer, J.-P., L. Larger, and H. Porte, 1998 Optical cryptosystem
based on synchronization of hyperchaos generated
by a delayed feedback tunable laser diode. Physical
Review Letters 80: 2249.
- Kingni, S., J. T. Mbé, and P.Woafo, 2012 Nonlinear dynamics
in vcsels driven by a sinusoidally modulated current and
rössler oscillator. The European Physical Journal Plus 127:
1–10.
- Kingni, S. T., C. Ainamon, V. K. Tamba, and J. C. OROU, 2020
Directly modulated semiconductor ring lasers: Chaos synchronization
and applications to cryptography communications.
Chaos Theory and Applications 2: 31–39.
- Kouomou, Y. C. and P. Woafo, 2003 Stability analysis for
the synchronization of semiconductor lasers with ultrahigh
frequency current modulation. Physics Letters A 308:
381–390.
- Li, X., W. Pan, B. Luo, D. Ma, and W. Zhang, 2007 Nonlinear
dynamics and localized synchronization in mutually
coupled vcsels. Optics & Laser Technology 39: 875–880.
- Masoller, C., M. S. Torre, and K. A. Shore, 2007 Polarization
dynamics of current-modulated vertical-cavity surfaceemitting
lasers. IEEE journal of quantum electronics 43:
1074–1082.
- Mbé, J. T., K. Takougang, and P. Woafo, 2010 Chaos and
pulse packages in current-modulated vcsels. Physica
Scripta 81: 035002.
- Roy, A., A. Misra, and S. Banerjee, 2019 Chaos-based image
encryption using vertical-cavity surface-emitting lasers.
Optik 176: 119–131.
- Roy, R. and K. S. Thornburg Jr, 1994 Experimental synchronization
of chaotic lasers. Physical Review Letters
72: 2009.
- Sciamanna, M., I. Gatare, A. Locquet, and K. Panajotov, 2007
Polarization synchronization in unidirectionally coupled
vertical-cavity surface-emitting lasers with orthogonal
optical injection. Physical Review E 75: 056213.
- Sugawara, T., M. Tachikawa, T. Tsukamoto, and T. Shimizu,
1994 Observation of synchronization in laser chaos. Physical
review letters 72: 3502.
- Tabaka, A., M. Peil, M. Sciamanna, I. Fischer, W. Elsäßer,
et al., 2006 Dynamics of vertical-cavity surface-emitting
lasers in the short external cavity regime: Pulse packages
and polarization mode competition. Physical Review A
73: 013810.
- Takougang Kingni, S., J. Hervé Talla Mbé, and P.Woafo, 2012
Semiconductor lasers driven by self-sustained chaotic
electronic oscillators and applications to optical chaos
cryptography. Chaos: An Interdisciplinary Journal of
Nonlinear Science 22: 033108.
- Valle, A., M. Sciamanna, and K. Panajotov, 2007 Nonlinear
dynamics of the polarization of multitransverse mode
vertical-cavity surface-emitting lasers under current modulation.
Physical Review E 76: 046206.
- Vanwiggeren, G. D. and R. Roy, 1998 Communication with
chaotic lasers. Science 279: 1198–1200.
- Wang, H., T. Lu, and Y. Ji, 2020 Key space enhancement
of a chaos secure communication based on vcsels with a
common phase-modulated electro-optic feedback. Optics
Express 28: 23961–23977.
- Woafo, P. and R. A. Kraenkel, 2002 Synchronization: Stability
and duration time. Physical Review E 65: 036225.
- Xie, Y.-Y., J.-C. Li, C. He, Z.-D. Zhang, T.-T. Song, et al., 2016
Long-distance multi-channel bidirectional chaos communication
based on synchronized vcsels subject to chaotic
signal injection. Optics Communications 377: 1–9.
- Zhong, D.-Z., G.-Q. Xia, Z.-M. Wu, and X.-H. Jia, 2008 Complete
chaotic synchronization characteristics of the linearpolarization
mode of vertical-cavity surface-emitting
semiconductor lasers with isotropic optical feedback. Optics
communications 281: 1698–1709.