Period-doubling cascades and chaos in a semiconductor laser with optical injection

Simpson, T. B.; Liu, Jiaming; Gavrielides, A.; Kovanis, Vassilios; Alsing, Paul M.

doi:10.1103/physreva.51.4181

Cited by 157 publications

(69 citation statements)

References 17 publications

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“…The term is the linewidth enhancement factor, and is the current density injection rate, proportional to the injection current The differential gain is a constant defined as where (3) is the gain per unit time. We use parameter values representing our experimental configuration and are consistent with measured values for SDL lasers [55], [56]. Specifically, we use: ps, ps, ps, ns, and cm /s.…”

Section: Theoretical Analysis: Low-frequency Modulationmentioning

confidence: 99%

Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current

Sukow

Gauthier

2000

IEEE J. Quantum Electron.

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Abstract-We measure experimentally the effects of injection current modulation on the statistical distribution of time intervals between power-dropout events occuring in an external-cavity semiconductor laser operating in the low-frequency fluctuation regime. These statistical distributions are sensitive indicators of the presence of pump current modulation. Under most circumstances, we find that weak low-frequency (in the vicinity of 19 MHz) modulation of the current causes the dropouts to occur preferentially at intervals that are integral multiples of the modulation period. The dropout events can be entrained by the periodic perturbations when the modulation amplitude is large (peak-to-peak amplitude 8% of the dc injection current). We conjecture that modulation induces a dropout when the modulation frequency is equal to the difference in frequency between a mode of the extended cavity laser and its adjacent antimode. We also find that the statistical distribution of the dropout events is unaffected by the periodic perturbations when the modulation frequency is equal to the free spectral range of the external cavity. Numerical simulations of the extended-cavity laser display qualitatively similar behavior. The relationship of these phenomena to stochastic resonance is discussed and a possible use of the modulated laser dynamics for chaos communication is described.

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Section: Theoretical Analysis: Low-frequency Modulationmentioning

confidence: 99%

Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current

Sukow

Gauthier

2000

IEEE J. Quantum Electron.

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“…Over a wide range of operating conditions, the injected optical signal perturbs the output of a slave laser so that it exhibits periodic dynamics instead of steady-state output. Simply by controlling the operating points of the master and slave lasers, through the bias currents, free-running offset frequencies, and injection power, the pulsation frequency can be widely tuned over the microwave and mm-wave bands [1]. When the optical output is detected by a conventional highspeed photodiode, the generated photocurrent reproduces the high-speed pulsation.…”

Section: Introductionmentioning

confidence: 99%

Tunable Photonic Microwave Oscillator Self-Locked by Polarization-Rotated Optical Feedback (Preprint)

Usechak¹,

Kovanis²,

Simpson³

et al. 2013

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, SPONSORING/MONITORING AGENCY ACRONYM(S)AFRL/RYDH SPONSORING/MONITORING AGENCY REPORT NUMBER(S)AFRL-RY-WP-TP-2013-0023 DISTRIBUTION/AVAILABILITY STATEMENTApproved for public release; distribution unlimited. SUPPLEMENTARY NOTESPAO Case Number 88ABW-2012-3102, Clearance Date 5 June 2012. Report contains color. Journal article to be published in Proc. IEEE International Frequency Control Symposium. ABSTRACTCombining optical injection and polarization-rotated optical feedback in a semiconductor laser can induce self-referenced periodic output that is widely tunable by simply varying the dc-bias points of the master and slave lasers. We observed feedback-induced reduction of the pulsation peak linewidth by more than two orders of magnitude relative to the injection-only case. The nonlinear dynamics of the optically injected semiconductor laser can be used to minimize sensitivity to fluctuations in the operating points. Performance is negatively affected by interference between the external injection signal and residual feedback in the same polarization. Abstract-Combining optical injection and polarization-rotated optical feedback in a semiconductor laser can induce selfreferenced periodic output that is widely tunable by simply varying the dc-bias points of the master and slave lasers. We observed feedback-induced reduction of the pulsation peak linewidth by more than two orders of magnitude relative to the injection-only case. The nonlinear dynamics of the optically injected semiconductor laser can be used to minimize sensitivity to fluctuations in the operating points. Performance is negatively affected by interference between the external injection signal and residual feedback in the same polarization. SUBJECT TERMS

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“…It can be used for reduction of the laser linewidth [12] and the mode partition noise 2 Advances in Optical Technologies [13] or for an enhancement of the modulation bandwidth [14] and for synchronizing an array of lasers onto a unique master [15]. Furthermore, OI dynamics is also of interest from a fundamental point of view and rich dynamics as period doubling route to chaos [16][17][18], resonance tongues [19], and excitability [20] have been reported. Orthogonal OI in VCSELs, that is, the linear polarization of the injected light is orthogonal to the one of the VCSEL, was first reported by Pan et al [21] in 1993.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Dynamics of Vertical-Cavity Surface-Emitting Lasers

Panajotov

Sciamanna

Gatare

et al. 2011

Advances in Optical Technologies

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Nonlinear dynamics of Vertical-Cavity Surface-Emitting Lasers (VCSELs) induced by optical injection, optical feedback, current modulation and mutual coupling is reviewed. Due to the surface emission and cylindrical symmetry VCSELs lack strong polarization anisotropy and may undergo polarization switching. Furthermore, VCSELs may emit light in multiple transverse modes. These VCSEL properties provide new features to the rich nonlinear dynamics induced by an external perturbation. We demonstrate for the case of orthogonal optical injection that new Hopf bifurcation on a two-polarization-mode solution delimits the injection locking region and that polarization switching and injection locking of first-order transverse mode lead to a new resonance tongue for large positive detunings. Similarly, the underlying polarization mode competition leads to chaoticlike behavior in case of gain switching and the presence of two transverse modes additionally reduces the possibility of regular dynamics. The bistable property of VCSEL makes it possible to investigate very fundamental problems of bistable systems with time-delay, such as the coherence resonance phenomenon. We also demonstrate that the synchronization quality between unidirectionally coupled VCSELs can be significantly enhanced when the feedback-induced chaos in the master laser involves both orthogonal LP fundamental transverse modes.

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Period-doubling cascades and chaos in a semiconductor laser with optical injection

Cited by 157 publications

References 17 publications

Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current

Entraining power-dropout events in an external-cavity semiconductor laser using weak modulation of the injection current

Tunable Photonic Microwave Oscillator Self-Locked by Polarization-Rotated Optical Feedback (Preprint)

Nonlinear Dynamics of Vertical-Cavity Surface-Emitting Lasers

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