Document Type : Original Article
Authors
Physics Department, Faculty of Sciences, Urmia University, Urmia, Iran
Abstract
In this paper, the rate equations for a laser diode subject to an optical injection are studied both analytically and numerically. By determining the Hopf and Routh- Hurwitz conditions, the stability boundaries of the laser system have been studied. The stability diagrams have been discussed in terms of detuning and the injection rate for different values of the linewidth enhancement factor. Also, we obtain critical relations for the Hopf points that lead to instability in the laser system. It has also shown that obtained relations depend on four parameters: detuning, linewidth enhancement factor, optical injection strength and pumping current.
Keywords
- S Wieczorek, B Krauskopf, D Lenstra, Optics Communications 172, 6 (1999)279 .
- F Mogensen, H Olesen, G Jacobsen, Electronics Letters 21, 16 (1985)696 .
- R Lang, IEEE Journal of Quantum Electronics 18, 6 (1982) 976 .
- S Kobayashi, T Kimura, IEEE Journal of Quantum Electronics 17, 5 (1981) 681 .
- M AlMulla, Optics Express 27. 12 (2019) 17283.
- J Ohtsubo, “Semiconductor lasers: stability, instability and chaos”, Springer (2012).
- L Weicker, T Erneux, D Wolfersberger, and M Sciamanna, Physical Review E 92, 2 (2015) 022906 .
- L Columbo and M Brambilla, Optics express 22, 9 (2014) 10105 .
- L Weicker, D Wolfersberger, and M Sciamanna, Physical Review E 98, 1 (2018) 012214 .
10. S Strogartz, “Nonlinear dynamics and chaos: with applications to Physics, Biology. Chemistry and Engineering”CRC press (1994).
11. N Erawaty and A Amir, Journal of Physics: Conference Series, IOP Publishing (2019).
12. S Osborne, A Amann, D Bitauld, and S OBrien, Physical Review E 85, 5 (2012) 056204 .
13. K Kanno, A Uchida, Physical Review E 86, 6 (2012) 066202 .
14. N Dokhane, G Puccioni, and G Lippi, Physical Review A 85, 4 (2012) 043823 .
15. S Osborne, A Amann, K Buckley, and G Ryan, Physical Review A 79, 2 (2009) 023834 .
16. J Tiana-Alsina and MC Torrent, OA Rosso, Physical Review A 82, 1 (2010) 013819 .
17. R Lang, K Kobayashi, IEEE journal of Quantum Electronics 16, 3 (1980) 347 .
18. P Alsing, V Kovanis, A Gavarielides, and T Erneux, Physical Review A 53, 6 (1996) 04429 .
19. T Erneux, V Kovanis, and A Gavrielides, Physical Review E 88, 3 (2013) 032907 .
20. M Eslahchi, M Dehghan, and S Ahmadi_Asl, Applied Mathematical Modelling 36, 8 (2012) 3387 .
21. X Wang, W Zhu, and X Zhao, Journal of Applied Mechanics 86, 6 (2019) 061011 .
22. NA Andriyanov and YN Gavrilina. In CEUR Workshop Proceedings 2076 (2018) 19 .
23. B Wage, “Normal form computations for delay differential equations in DDE-Biftool”MS thesis (2014).
24. T Zhao, D Wang, and H Hong, Journal of Symbolic Computation 46, 8 (2011) 904 .
25. F Nazarimehr, and S Jafari, Chaos: An Interdisciplinary Journal of Nonlinear Science 28, 7 (2018) 073102 .
26. M Sanaee and A Zarifkar, Optics Communications 353 (2015) 42.
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