Abstract
In this paper, a theoretical investigation of chaos synchronization in two nano-quantum cascade lasers with delayed negative optoelectronic feedback is presented. Since the spontaneous emission effect is an important factor in a microcavity the rate equations model has been reconsidered to include the Purcell spontaneous emission enhancement factor F and the spontaneous emission factor. It is found that the synchronization takes place under suitable system parameters. The results indicate that the coupling strength, the delay time in the transmitter, and the transmission time between the two lasers have significant effects on the synchronization quality while the stage number and the delay time in receiver have poor effects on the synchronization quality. Also, when the system is a closed-loop or open-loop, synchronization with poor dynamics occurs when the spontaneous emission factor is small while the synchronization happens in the open-loop system only when the spontaneous emission factor is large. Furthermore, when the system is a closed-loop, synchronization occurs when Purcell factor is large while the synchronization happens to the open-loop system of any values for the spontaneous emission factor and Purcell factor.
Graphical abstract
Similar content being viewed by others
References
A. Rostami, H. Rasooli, H. Baghban, Terahertz Technology: Fundamentals and Applications (Springer Science & Business Media, Berlin, Heidelberg, 2010)
J. Faist, F. Capasso, D.L. Sivco, C. Sirtori, A.L. Hutchinson, A.Y. Cho, Science 264, 553 (1994)
C. Walther, Low frequency and circuit based quantum cascade lasers, Doctoral dissertation, ETH Zurich, 2011
S.-C. Chan, J.-M. Liu, IEEE J. Quantum Electron. 41, 1142 (2005)
B. Farias, T.P. de Silans, M. Chevrollier, M. Oria, Phys. Rev. Lett. 94, 173902 (2005)
I. Fischer, Y. Liu, P. Davis, Phys. Rev. A 62, 011801 (2000)
S. Hwang, J. Liu, Opt. Commun. 169, 167 (1999)
K. Kusumoto, J. Ohtsubo, Opt. Lett. 27, 989 (2002)
C.H. Lee, S.Y. Shin, Appl. Phys. Lett. 62, 922 (1993)
M. Nizette, T. Erneux, A. Gavrielides, V. Kovanis, T. Simpson, Phys. Rev. E 65, 056610 (2002)
S. Rajesh, V. Nandakumaran, Phys. D 213, 113 (2006)
R. Vicente, S. Tang, J. Mulet, C.R. Mirasso, J.-M. Liu, Phys. Rev. E 73, 047201 (2006)
G.-Q. Xia, Z.-M. Wu, X.-H. Jia, J. Light. Technol. 23, 4296 (2005)
D.M. Kane, K.A. Shore, in Unlocking Dynamical Diversity: Optical Feedback Effects on Semiconductor Lasers, 1st edn. (John Wiley & Sons, NY, 2005), pp. 187–188
F.Y. Lin, J.M. Liu, IEEE J. Quantum Electron. 39, 562 (2003)
J. Ohtsubo, in Semiconductor Lasers: Stability, Instability and Chaos, 3rd edn. (Springer, Berlin, 2012), pp. 447–448
S. Tang, J. Liu, IEEE J. Quantum Electron. 37, 329 (2001)
S. Turovets, J. Dellunde, K. Shore, J. Opt. Soc. Am. B 14, 200 (1997)
A. Uchida, in Optical Communication With Chaotic Lasers: Applications of Nonlinear Dynamics and Synchronization, 1st edn. (John Wiley & Sons, NY, 2012), pp. 237–238
H. Waried, Chin. J. Phys. 56, 1113 (2018)
H. Han, K.A. Shore, IEEE J. Quantum Electron. 52, 11 (2016)
Z.A. Sattar, N.A. Kamel, K.A. Shore, IEEE J. Quantum Electron. 52, 2 (2016)
H. Waried, Phys. Chem. Res. 5, 377 (2017)
Y. Todorov, I. Sagnes, I. Abram, C. Minot, Phys. Rev. Lett. 99, 2236 (2007)
C. Wang, F. Grillot, V. Kovanis, J. Even, J. Appl. Phys. 113, 063104 (2013)
H. Waried, Rece. Adva. Elec. Elec. Engi. 11, 167 (2018)
P. Kumar, A. Prasad, R. Ghosh, J. Phys. B: At. Mol. Opt. Phys. 41, 135402 (2008)
P. Kumar, F. Grillot, Eur. Phys. J. Special Topics 222, 813 (2013)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Waried, H. Chaos synchronization of coupled nano-quantum cascade lasers with negative optoelectronic feedback. Eur. Phys. J. D 73, 39 (2019). https://doi.org/10.1140/epjd/e2019-90639-5
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjd/e2019-90639-5