Iranian Journal of Physics Research

Effect of the frequency detuning on the stability analysis in a ‎semiconductor laser subject to optical injection: Hopf and Routh-Horwitz ‎conditions

Document Type : Original Article

Authors

Kh Mabhouti
N Samadzadeh

‎ Physics Department, Faculty of Sciences, Urmia University, Urmia, Iran

https://doi.org/10.47176/ijpr.21.1.39861
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

stability analysis
semiconductor laser
Hopf point
Routh-horwitz
frequency detuning
optical ‎injection
  1. S Wieczorek, B Krauskopf, D Lenstra, Optics Communications 172, 6 (1999)279 .

  2. F Mogensen, H Olesen, G Jacobsen, Electronics Letters 21, 16 (1985)696 .

  3. R Lang, IEEE Journal of Quantum Electronics 18, 6 (1982) 976 .

  4. S Kobayashi, T Kimura, IEEE Journal of Quantum Electronics 17, 5 (1981) 681 .

  5. M AlMulla, Optics Express 27. 12 (2019) 17283.

  6. J Ohtsubo, “Semiconductor lasers: stability, instability and chaos”, Springer (2012).

  7. L Weicker, T Erneux, D Wolfersberger, and M Sciamanna, Physical Review E 92, 2 (2015) 022906 .

  8. L Columbo and M Brambilla, Optics express 22, 9 (2014) 10105 .

  9. 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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