Impacts of mismatched intrinsic parameter on leader-laggard synchronization between two mutually coupled VCSELs

Abstract

Based on spin-flip model (SFM), the impacts of mismatched intrinsic parameter on leader-laggard chaos synchronization between two mutually coupled vertical-cavity surface-emitting lasers (VCSELs) have been investigated numerically. Results show that, for two VCSELs with identical intrinsic parameter, the switching point of leader-laggard caused by continually varying frequency detuning or injection rate detuning is located at zero frequency detuning or zero injection rate detuning, which indicates that the VCSEL with higher frequency or subject to lower injection level plays a leader role. However, for two VCSELs with mismatched intrinsic parameter, the switched point of leader-laggard will deviate from zero frequency detuning or zero injection rate. Therefore, compared with the results obtained under matched intrinsic parameter, the opposite results have been observed in the range between zero detuning and switching point. Additionally, the offsets of switching point induced by different intrinsic parameters are different, and the influence of line-width enhancement factor is found to be the most significant.

Keywords

vertical-cavity surface-emitting laser / mutual coupling / mismatched intrinsic parameter / leader-laggard chaos synchronization

References

[1] Regalado J M, Prati F, Miguel M S, Abraham N B. Polarization properties of vertical-cavity surface-emitting lasers. IEEE Journal of Quantum Electronics, 1997, 33(5): 765–783

[2] Liu J, Wu Z M, Xia G Q. Dual-channel chaos communication in unidirectional coupled VCSELs with polarization-rotated optical feedback and polarization-rotated optical injection. Optics Express, 2009, 17(15): 12619–12626

[3] Fujiwara N, Takiguchi Y, Ohtsubo J. Observation of the synchronization of chaos in mutually injected vertical-cavity surface-emitting semiconductor lasers. Optics Letters, 2003, 28(18): 1677–1679

[4] Zhang W L, Pan W, Luo B, Li X F, Zou X H, Wang M Y. Polarization-resolved dynamics of asymmetrically coupled vertical-cavity surface-emitting lasers. Journal of the Optical Society of America. B, Optical Physics, 2008, 25(2): 153–158

[5] Zhang W L, Pan W, Luo B, Li X F, Zou X H, Wang M Y. Polarization switching of mutually coupled vertical-cavity surface-emitting lasers. Journal of the Optical Society of America. B, Optical Physics, 2007, 24(6): 1276–1282

[6] Vicente R, Mulet J, Mirasso C R, Sciamanna M. Bistable polarization switching in mutually coupled vertical-cavity surface-emitting lasers. Optics Letters, 2006, 31(7): 996–998

[7] Zhang W L, Pan W, Luo B, Li X F, Zou X H, Wang M Y. Polarization switching and synchronization of mutually coupled vertical-cavity surface-emitting semiconductor lasers. Chinese Physics, 2007, 16(7): 1996–2002

[8] Vicentea R, Mirasso C R. Dynamics of mutually coupled VCSEL’s. Proceedings of SPIE, 2004, 5349: 331–338

[9] Erzgräber H, Lenstra D, Krauskopf B, Fischer I. Dynamical properties of mutually delayed coupled semiconductor lasers. Proceedings of SPIE, 2004, 5452: 352–361

[10] Vicentea R, Muleta J, Sciamannab M, Mirasso C R. Simple interpretation of the dynamics of mutually coupled semiconductor lasers with detuning. Proceedings of SPIE, 2004, 5349: 307–318

[11] Heil T, Fischer I, Elsässer W, Mulet J, Mirasso C R. Chaos synchronization and spontaneous symmetry-breaking in symmetrically delay-coupled semiconductor lasers. Physical Review Letters, 2001, 86(5): 795–798

[12] Rogister F, García-Ojalvo J. Symmetry breaking and high-frequency periodic oscillations in mutually coupled laser diodes. Optics Letters, 2003, 28(14): 1176–1178

[13] Shen J T, Fan C R, Wu J G, Xia G Q, Ding L, Li N Y, Wu Z M. Conversion between anticipating and lag chaos synchronization induced by different bias current levels in mutually delay-coupled semiconductor lasers. Applied Physics B: Lasers and Optics, 2011, 103(4): 941–945

[14] González C M, Torrent M C, García-Ojalvo J. Controlling the leader-laggard dynamics in delay-synchronized lasers. Chaos, 2007, 17(3): 033122

[15] Panajotov K, Uchida A, Sciamanna M. Synchronization of chaos in mutually coupled VCSELs: numerical study. In: CLEOE and IQEC 2007 Conference Digest. 2007, JSI_5:1-1

[16] Ozaki M, Someya H, Mihara T, Uchida A, Yoshimori S, Panajotov K, Sciamanna M. Leader-laggard relationship of chaos synchronization in mutually coupled vertical-cavity surface-emitting lasers with time delay. Physical Review E, 2009, 79(2): 026210

[17] Uchida A, Someya H, Ozaki M, Tanaka K, Yoshimori S, Panajotov K, Sciamanna M. Synchronization of chaos in mutually coupled vertical-cavity surface-emitting lasers with time delay. In: Proceedings of IEEE/LEOS Winter Topicals Meeting Series on Nonlinear Dynamics in Photonic System. 2009, 126–127

[18] Panajotov K, Sciamanna M, Thienpont H, Uchida A. Impact of light polarization on chaos synchronization of mutually coupled VCSELs. Optics Letters, 2008, 33(24): 3031–3033

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11004161, 61078003 and 60978003), the Natural Science Foundation of Chongqing City (No. 2010BB9125), the Fundamental Research Funds for the Central Universities (No. XDJK2010C021), and the Open Fund of the State Key Lab of Millimeter Waves (No. K201100).

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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg