Emergence of stable twocolor states in mutually coupled lasers
Masoud Seifikar
Tyndall National Institute and Department of Physics, University College Cork, Cork
Masoud Seifikar received the M.Sc. in Atomic and Molecular Physics at Shahid Beheshti University of Iran (2004). He moved to Cork in 2008 to undertake a PhD at University College Cork and Tyndall National Institute, under the supervision of Prof. Eoin O’Reilly and Prof. Stephen Fahy. In his first postoc, he was working on nonlinear dynamics of coupled semiconductor lasers, then in 2014 he started working on PiezoMAT project where he studied pressure sensing using vertical Piezoelectric nanowires. Since January 2016 he has been with Photonic integrated group in Tyndall and he is looking at the laser interactions in PICs.
Abstract
We theoretically investigate a setup of two mutually delaycoupled semiconductor lasers in a face to face configuration, and study the multistabilities and symmetrybroken 1colour and 2colour states for this system, for the... [ view full abstract ]
We theoretically investigate a setup of two mutually delaycoupled semiconductor lasers in a face to face configuration, and study the multistabilities and symmetrybroken 1colour and 2colour states for this system, for the development of mutually coupled lasers for integration in a Photonic Integrated Circuit (PIC).
The lasers are coherently coupled via their optical fields, where the time delay τ arises from the finite propagation time of the light from one laser to the other. This system is well described by single mode rate equations, which are a system of delay differential equations (DDEs) with one fixed delay. Yanchuk et al. 2004 predicted 1color symmetric states for very small delays. In Erzgräber et al. 2006 the bifurcations of 1color states were studied for large delay. Moreover, for zero delay, stable symmetric and symmetrybroken 1color and 2color states have been predicted recently by Clerkin et al. 2014.
In particular, symmetrybroken 2color states are highly interesting from an application point of view, for example in the context of alloptical switching. Here we show that these states continue to exist for finite delays. We performed a detailed study of the relevant bifurcations of the system with finite delay in the range of τ from 0 to 1 (in units of photon lifetime), by means of the continuation Matlab package DDEBIFTOOL.
Bifurcations and stability regions with the two bifurcation parameters, coupling strength κ and coupling phase Cp are shown in the figure for τ=1. In regions a and b, inphase and antiphase 1color states are stable, respectively. For very high coupling strength κ, these two regions are separated by two supercritical Hopf bifurcations. The very small area between these two Hopf lines contains region c with stable symmetric 2color states. More importantly, the model predicts that symmetrybroken 2color states are stable in the two large regions d and e, which are bounded by torus, perioddoubling and pitchfork of limit cycle bifurcations.
Acknowledgements: We thank Bernd Krauskopf and Hartmut Erzgräber for helpful discussions and for help with the DDEBIFTOOL implementation. This work was supported by the Science Foundation Ireland under grant SFI 13/IA/1960 .
Authors

Masoud Seifikar
(Tyndall National Institute and Department of Physics, University College Cork, Cork)

Frank H. Peters
(Tyndall National Institute and Department of Physics, University College Cork, Cork)

Andreas Amann
(School of Mathematical Sciences and Tyndall National Institute, University College Cork, Cork)
Topic Areas
Nonlinear nanooptics , Integration (including size and material compatibility)
Session
OS2103b » Nonlinear nanooptics (16:30  Thursday, 8th December, Tower 24  Room 103)
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