Instabilities in a semiconductor laser with delayed optoelectronic feedback

Giacomelli, Giovanni; Calzavara, M.; Arecchi, F. T.

doi:10.1016/0030-4018(89)90498-7

Cited by 50 publications

(27 citation statements)

References 10 publications

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“…In this section, we reconsider Eqs. (12) and (13), which are written for the scaled deviation of intensity I from their steady state values and plan to explain why the period remains constant as we pass the Hopf bifurcation point. Our approach is similar to the analysis of time periodic square-wave solutions of scalar delay differential equations (DDEs).…”

Section: Constant Periodmentioning

confidence: 99%

Resonances between fundamental frequencies for lasers with large delayed feedbacks

et al. 2019

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High-order frequency locking phenomena were recently observed using semiconductor lasers subject to large delayed feedbacks [1,2]. Specifically, the relaxation oscillation (RO) frequency and a harmonic of the feedback-loop round-trip frequency coincided with the ratios 1:5 to 1:11. By analyzing the rate equations for the dynamical degrees of freedom in a laser subject to a delayed optoelectronic feedback, we show that the onset of a two-frequency train of pulses occurs through two successive bifurcations. While the first bifurcation is a primary Hopf bifurcation to the ROs, a secondary Hopf bifurcation leads to a two-frequency regime where a low frequency, proportional to the inverse of the delay, is resonant with the RO frequency. We derive an amplitude equation, valid near the first Hopf bifurcation point, and numerically observe the frequency locking. We mathematically explain this phenomenon by formulating a closed system of ordinary differential equations from our amplitude equation. Our findings motivate new experiments with particular attention to the first two bifurcations. We observe experimentally (1) the frequency locking phenomenon as we pass the secondary bifurcation point, and (2) the nearly constant slow period as the two-frequency oscillations grow in amplitude. Our results analytically confirm previous observations of frequency locking phenomena for lasers subject to a delayed optical feedback.

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Section: Constant Periodmentioning

confidence: 99%

Resonances between fundamental frequencies for lasers with large delayed feedbacks

et al. 2019

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“…For OEFB, the key parameters are the optoelectronic feedback parameter k and delay time s [16,17,24]. In the following discussions, we will devote our attention to investigate how OEFB affects the behaviors of VCSELs and to find the optimal OEFB parameters for stabilizing the laser.…”

Section: Resultsmentioning

confidence: 99%

“…In OEFB system, k and s are the main factors characterizing the system behaviors [16][17][18]. Moreover, the feedback strength and the current delay time can be controlled effectively.…”

Section: Model and Rate Equationsmentioning

confidence: 99%

“…Yet, the HFI technique needs an ultra-high current frequency, and to the all-optical mechanism the phase of additional light is difficult to control. Compared with these systems, optoelectronic feedback (OEFB) is flexible and reliable because of its convenience to be electrically controlled and insensitivity to optical phase variations [16]. Using delayed OEFB to suppress the chaos of a directly modulated SL has also been reported in [17].…”

Section: Introductionmentioning

confidence: 99%

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Control of nonlinear dynamics in external-cavity VCSELs with delayed negative optoelectronic feedback

Pan

Luo

et al. 2006

Chaos, Solitons & Fractals

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“…Semiconductor lasers subject to optoelectronic feedback have been extensively studied for many years [3][4][5][6][7][8]. Optoelectronically linked semiconductor lasers [9][10][11][12] have been used in unidirectionally coupled schemes with applications to encoded communications [13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of semiconductor lasers with bidirectional optoelectronic coupling: Stability, route to chaos, and entrainment

et al. 2004

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The dynamical behavior of two mutually coupled semiconductor lasers is studied. An optoelectronic coupling including a time delay in the propagation of the signals between the two lasers is considered. Starting from the appropriate rate equations for the photon and carrier densities, we investigate the stability of the fixed points and limit cycles of the system as a function of the coupling strength and the propagation time. From this analysis, a quasiperiodic route to chaos with boundary crisis events is identified as the responsible mechanism leading the system from regular to complex behavior. Several interesting phenomena are predicted for this system. Our analytical and numerical results are supported by experiments which are in good agreement with our predictions.

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Instabilities in a semiconductor laser with delayed optoelectronic feedback

Cited by 50 publications

References 10 publications

Resonances between fundamental frequencies for lasers with large delayed feedbacks

Resonances between fundamental frequencies for lasers with large delayed feedbacks

Control of nonlinear dynamics in external-cavity VCSELs with delayed negative optoelectronic feedback

Dynamics of semiconductor lasers with bidirectional optoelectronic coupling: Stability, route to chaos, and entrainment

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