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Broad optical spectrum generation and tailoring the comb properties by injection of a frequency comb
Y Doumbia, T Malica, D Wolfersberger, K Panajotov, M Sciamanna
To cite this version:
Y Doumbia, T Malica, D Wolfersberger, K Panajotov, M Sciamanna. Broad optical spectrum gener- ation and tailoring the comb properties by injection of a frequency comb. International Symposium on Physics and Applications of Laser Dynamics, Nov 2019, Metz, France. �hal-03206291�
Broad optical spectrum generation and tailoring the comb properties by injection of a frequency comb.
Y. Doumbia,1,2* T. Malica,1,2 D. Wolfersberger, 1,2 K. Panajotov, 3,4 M. Sciamanna 1,2
1 Chaire Photonique, LMOPS, CentraleSupélec, Université Paris-Saclay, Metz, France
2 Université de Lorraine, CentraleSupélec, LMOPS, Metz, France
3 Brussels Photonics Group (B-PHOT), Vrije Universiteit Brussel, Brussels, Belgium
4 Institute of Solid-State Physics, Bulgarian Academy of Sciences, Sofia, Bulgaria
*yaya.doumbia@centralesupelec.fr
Abstract: We analyze the nonlinear dynamics of a semiconductor laser with optical injection from a frequency comb. we identify and select several dynamics including (i) injection locking, (ii) unlocked time-periodic dynamics, and (iii) unlocked chaotic dynamics.
1. Introduction
The injection locking properties of semiconductor lasers have been analyzed since more than forty years :first, as a way to control the coherence properties of the injected laser, but more recently, as a technique to tailor specific nonlinear dynamics including optical chaos [1], time-periodic self-pulsation [2], and also dissipative solitons in large aperture laser diodes [3]. These nonlinear dynamics found applications in various fields such as: the physical security based on optical chaos, optical sensing, and radio-over fiber communications. Much less studied is the dynamics of a single mode laser diode injected by a multimode laser diode. This configuration has raised recent interest within the context of optical frequency combs.
In this Letter, we make an in-depth analysis of single mode semiconductor laser dynamics induced by optical injection of a frequency comb by varying both the injection parameters and the comb properties. The number of the resulting comb modes can be tailored by varying the injection parameters and the initial comb properties (number of modes and the comb spacing).
2. Results and discussions
We shall discuss the emergence of complex dynamics from the injection locked solution. Figure 1 for example shows a detailed mapping of the parameter region corresponding to time-periodic dynamics in the plane of the injection parameters. The region shaded in blue correspond to the time-periodic dynamics of the slave laser output.
Time-periodic dynamics could either correspond to injection locking - in which case the slave laser output power oscillates periodically at the frequency corresponding to the injected comb mode spacing - or to an unlocked dynamic that corresponds to a new comb solution and which we call "comb x" in the mapping. The region shaded in red correspond the non-periodic dynamics of the slave laser which we identify as chaotic dynamics bifurcating from injection locked solution. We are not interested here by the peculiar chaotic properties of the slave laser dynamics but, by the parameter range in which the slave laser shows an optical comb dynamics and the corresponding comb properties. Interestingly, the unlocked comb dynamics of the slave laser extends to a much broader range of injection parameters than the injection locking solution. Figures 1 (a) and 1 (b) correspond to 3- comb modes and 7-comb modes injection respectively. The region around zero detuning is the injection locking region. We identify as many injection locking regions as the number of the comb modes; labelled 'IL' in the mapping. In both cases, we observe two regions of unlocked time-periodic dynamics (see regions labelled 'comb1' and comb2 in the mapping). The areas corresponding to the new comb solution extend both with the injection strength and with the detuning. We also notice that when increasing the master laser number of comb modes, i.e., comparing Figure 1 (b) to Figure 1 (a), the areas corresponding to the new comb solution extend more to the negative detuning as the injection strength increases. It is also worth noting that the comb1 region connect to the injection locking region, hence, suggesting that this new comb solution indeed bifurcates from the injection locking solution.
Tailoring the comb properties by varying the injection parameters is better seen in Fig.~\ref{fig:fig4}, where, we plot the full-width at half maximum (FWHM) of the pulsing dynamics of the slave laser output when varying the injection strength within the parameter range corresponding to the unlocked slave laser comb solution in the two unlocked regions of the Figure 3 (a).
The pulse FWHM decreases when the injection strength increases. Figure (b) and (c) then analyze the FWHM of the slave laser pulse output when increasing the injection strength κ. Figure (c) present the FWHM for 3 detuning values of 0.7 GHZ (red line), 0 GHz (blue line) and 0.7 GHZ (brown line) for the case of comb2. In both cases
(comb1 and comb2), the FWHM decreases when κ increases. Furthermore, FWHM is smaller for the negative detuning than for the zero or positive detuning.
Figure 1 : Numerical mapping of semiconductor laser subject to optical injection with frequency comb for Left: 3 comb modes and Right: 7 comb modes Comb spacing = 5 GHz.
Figure 2: Control of comb properties. (a) slave laser output in the unlocked comb1 and comb 2 solutions for Δν0=0.2 GHz, κ=0.202 (green) and κ =0.6 (red).(b) FWHM of the comb1 solution when increasing κ. (c) same as (b) for the comb2 solution also comparing the cases for Δν0=-0.7 GHz (red line),
Δν0=0 GHz (blue line) and Δν0=0.7 GHz (brown line).
3. Conclusion
In summary, we show that it is possible to generate a broadened frequency comb using injection locking technique.
Increasing the injection strength, the slave laser gets locked, chaotic dynamics is observed. Most importantly, new comb solutions take place in the unlocked time-periodic dynamics. The pulse width of the mode-locked slave laser dynamics is controlled by injection parameters. In particular, the slave laser pulse width decreases when increasing the injection strength and when moving the master laser towards more negative detuning.
4. References
[1] Marc Sciamanna and K Alan Shore, Nature photonics, Vol. 9 no. 3, pp.151-162 (2015).
[2] Lukasz Olejniczak, Krassimir Panajotov, Hugo Thienpont, and Marc Sciamanna. Physical Review A, vol.82 no.2 pp.023807-023815, (2010).
[3] Mathias Marconi, Julien Javaloyes, St_ephane Barland, Salvador Balle, and Massimo Giudici. Nature Photonics, vol.9 no.7 pp-450-462, (2015).
[4] Finn Mogensen, Henning Olesen, and Gunnar Jacobsen. IEEE Journal of Quantum Electronics, vol.21 no.7 pp.784-793, (1985).
