Dynamics of Semiconductor Lasers Subject to Delayed Optical Feedback: The Short Cavity Regime

Heil, Tilmann; Fischer, Ingo; Elsäßer, Wolfgang; Gavrielides, A.

doi:10.1103/physrevlett.87.243901

Cited by 215 publications

(171 citation statements)

References 17 publications

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“…Semiconductor lasers are known to exhibit a variety of different dynamics. This becomes apparent especially under external perturbations, e.g., of the pump current or by an external light field [TAR95a,WIE05], as well as under optical feedback [HEI01a,SOR13,OTT14]. Here, lasers can exhibit periodic oscillations, multi-stability [GAV97], and deterministic chaos [TAR98a,OHT99].…”

Section: Dt S(t) = 2g(n (T) − N 0 )S(t) − 2κs(t) (12b)mentioning

confidence: 99%

“…The chosen feedback length of 100 ps lies within the short-cavity regime, where the laser response is known to sensitively depend on the feedback phase C [HEI01a]. In order to get a complete picture of the dynamics, we numerically calculate bifurcation diagrams of the laser dynamics spanning the (K fb , C)-plane.…”

Section: Quantum-dot Laser Dynamics Under Optical Feedbackmentioning

confidence: 99%

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Nonlinear and Nonequilibrium Dynamics of Quantum-Dot Optoelectronic Devices

Lingnau

2015

Springer Theses

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In this thesis the dynamics and performance of optoelectronic devices based on semiconductor quantum-dots are investigated.In the first part, the dynamics of quantum-dot lasers under external perturbations is discussed. Using a microscopically based balance equation model that incorporates detailed charge-carrier scattering dynamics and the possibility to describe nonequilibrium between intra-band electronic states, the relaxation oscillations of the quantum-dot laser are investigated. Three qualitatively different dynamic regimes are identified in dependence of the scattering rates -the "constantreservoir" regime for slow scattering, the "overdamped" regime, and the "synchronized" regime for high scattering -characterized by a varying degree of nonequilibrium between the quantum-dot and reservoir states.Important differences to conventional lasers are found in the modulation response and the dynamics in optical injection and feedback setups. Common theoretical models and approaches used to describe these applications are shown to yield inaccurate predictions, especially in the "constant-reservoir" and "overdamped" dynamic regimes. An important consequence is that the amplitude-phase coupling in quantum-dot lasers, commonly described by the α-factor, differs from conventional descriptions due to the desynchronization of gain and refractive index. While the α-factor describes bifurcations of fixed points accurately, it fails in describing dynamic solutions and overestimates the extent of complex dynamics. The observed low sensitivity to optical perturbations in quantum-dot lasers can therefore be attributed partly to the charge-carrier nonequilibrium. Three quantum-dot laser models on different levels of sophistication are presented that can accurately describe the quantum-dot nonequilibrium dynamics.In the second part of the thesis, the performance of quantum-dot semiconductor optical amplifiers is investigated, and two types of applications unique to quantum-dots as active medium are discussed. The ground and excited states of the quantum-dots allow an ultra-broad-band amplification of optical data streams. Amplified signals on the ground-state frequencies are shown to generally exhibit higher quality than on the excited state, due to a lower sensitivity of the groundstate to carrier-density variations. Nevertheless the quantum-dot amplifier is found to allow effective amplification on both frequency ranges. Furthermore, a parameter range is identified that allows for a simultaneous amplification of data signals on the ground and excited state in a counter-propagating setup.The long microscopically polarization dephasing times in quantum-dots are found to enable quantum-coherent interactions on a macroscopic scale at room-temperature. By comparison with experiments, the occurrence of Rabi-oscillations by amplification of ultra-short pulses is demonstrated. Quantum-dot based devices could therefore be used for future applications based on quantum-coherent effects.

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Section: Dt S(t) = 2g(n (T) − N 0 )S(t) − 2κs(t) (12b)mentioning

confidence: 99%

Section: Quantum-dot Laser Dynamics Under Optical Feedbackmentioning

confidence: 99%

Nonlinear and Nonequilibrium Dynamics of Quantum-Dot Optoelectronic Devices

Lingnau

2015

Springer Theses

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“…A practical application is the generation of chaotic optical signals for encrypted communication [Oht02]. Very recently, the regime of short feedback delay has attracted much attention due to the nontrivial dynamics [HFEG01]. A characteristic phenomenon in the short cavity regime is the occurrence of regular and irregular pulse packages [HFE + 03].…”

Section: Introductionmentioning

confidence: 99%

Self-Organization in Semiconductor Lasers with Ultrashort Optical Feedback

et al. 2004

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In this work, self-organization in semiconductor lasers with ultra-short optical feedback is investigated. Exploiting dc currents to tune the relevant feedback parameters, we have experimentally prepared and studied a number of novel nonlinear dynamical scenarios.Two different types of self-sustaining intensity-pulsations are detected depending on strength and phase of the feedback. One type of pulsations is emerging in a Hopf-bifurcation from relaxation oscillations. These oscillations become undamped due to dispersive self-Q switching. The second type of pulsations is a beating of distinct compound-cavity modes. It is also born in a Hopf bifurcation. These findings represent experimental evidence for theoretical predictions. A supplementary mode and stability analysis agrees well with measurements.Coexistence of mode beating and relaxation oscillations gives rise to the break-up of regular pulsations into chaotic emission via a quasi-periodic route to chaos. The sudden destruction of chaos is indicative of a boundary crisis scenario, in which we see a discontinuous disappearance of an attractor. The existence of chaotic saddles underlying transient chaotic dynamics which appears behind boundary crisis is experimentally verified. It is experimentally demonstrated that an excitation of chaotic transients is closely related to a conventional excitability. The experiment is supplemented by numerical simulations.The influence of external Gaussian noise close to the onset of sub-and super-critical Hopf bifurcations is studied. Noise-induced oscillations appear as a noisy precursor with Lorentzian shape peak in the power spectrum. The coherence factor defined by the product of height and quality factor exhibits non-monotonic behavior with a distinct maximum at a certain noise intensity for both types of Hopf bifurcations, demonstrating coherence resonance. Besides these similarities, the measurements reveal also qualitative differences between the two cases. Whereas the width of the noise induced peak increases monotonically with noise intensity for the supercritical bifurcation, it traverses a pronounced minimum in the subcritical case. The experimental findings are examined in terms of general model for the noise driven motion close to bifurcations. Keywords

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“…Typical examples of such systems are lasers where the delay enters through the coupling to external cavities (optical feedback) [37,38,39] and neurons, where the signal propagation yields a delay time [40].…”

Section: Time-delayed Feedbackmentioning

confidence: 99%

Control of coherence resonance in semiconductor superlattices

Hizanidis

Schöll

2008

Phys. Rev. E

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We study the effect of time-delayed feedback control and Gaussian white noise on the spatiotemporal charge dynamics in a semiconductor superlattice. The system is prepared in a regime where the deterministic dynamics is close to a global bifurcation, namely a saddle-node bifurcation on a limit cycle (SNIPER). In the absence of control, noise can induce electron charge front motion through the entire device, and coherence resonance is observed. We show that with appropriate selection of the time-delayed feedback parameters the effect of coherence resonance can either be enhanced or destroyed, and the coherence of stochastic domain motion at low noise intensity is dramatically increased. Additionally, the purely delay-induced dynamics in the system is investigated, and a homoclinic bifurcation of a limit cycle is found.

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Dynamics of Semiconductor Lasers Subject to Delayed Optical Feedback: The Short Cavity Regime

Cited by 215 publications

References 17 publications

Nonlinear and Nonequilibrium Dynamics of Quantum-Dot Optoelectronic Devices

Nonlinear and Nonequilibrium Dynamics of Quantum-Dot Optoelectronic Devices

Self-Organization in Semiconductor Lasers with Ultrashort Optical Feedback

Control of coherence resonance in semiconductor superlattices

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