Experimental observation of a delayed bifurcation at the threshold of an argon laser

Scharpf, William J.; Squicciarini, M.; Bromley, D.; Green, C.; Tredicce, J. R.; Narducci, L. M.

doi:10.1016/0030-4018(87)90189-1

Cited by 70 publications

(24 citation statements)

References 5 publications

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“…To the best of our knowledge, this behavior was first noticed in the case of He-Ne lasers with swept cavity lengths by Mikhnenko [7] and Aronowitz [8]. The first experimental investigations have been carried out by Sharpf et al [9] with an Ar + laser in which the intra-cavity losses are linearly swept across the threshold. A similar effect was studied in two different laser dynamics such as in the Class-A lasers [9,13,14] and in the Class-B lasers [10,11,12,15].…”

Section: Introductionmentioning

confidence: 81%

“…The first experimental investigations have been carried out by Sharpf et al [9] with an Ar + laser in which the intra-cavity losses are linearly swept across the threshold. A similar effect was studied in two different laser dynamics such as in the Class-A lasers [9,13,14] and in the Class-B lasers [10,11,12,15]. When one of the control parameters is modulated, the laser intensity exhibits a hysteresis defined by two branches corresponding to the turning on and turning off the laser.…”

Section: Introductionmentioning

confidence: 99%

“…According to previous works [5,9,10,11,14], the delay δt depends on the modulation frequency, and it can be …”

Section: Modelmentioning

confidence: 99%

See 2 more Smart Citations

Experimental study of the delayed threshold phenomenon in a class-A VECSEL

Amili

Gredat

Alouini

et al. 2012

Eur. Phys. J. Appl. Phys.

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Abstract. An experimental study of the delayed threshold phenomenon in a Vertical Extended Cavity Semiconductor Emitting Laser is carried out. Under modulation of the pump power, the laser intensity exhibits a hysteresis behavior in the vicinity of the threshold. The temporal width of this hysteresis is measured as a function of the modulation frequency, and is proved to follow the predicted scaling law.A model based on the rate equations is derived and used to analyze the experimental observations. A frequency variation of the laser around the delayed threshold and induced by the phase-amplitude coupling is predicted and estimated.

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Section: Introductionmentioning

confidence: 81%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Experimental study of the delayed threshold phenomenon in a class-A VECSEL

Amili

Gredat

Alouini

et al. 2012

Eur. Phys. J. Appl. Phys.

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“…The question is, Are * yhdo@knu.ac.kr bifurcations from adiabatic variations of system parameters faithful reflections of the true bifurcations of the system? This is referred to as the slow passage problem, which has been investigated in different physical contexts such as laser instabilities [3,4], fluctuations in mechanical systems exhibiting resonances [5], and thermal convection in fluids [6,7]. Mathematically, a dynamical system under adiabatic, time-dependent parameter variation can be modeled by using a set of nonautonomous differential equations.…”

Section: Introductionmentioning

confidence: 99%

Early effect in time-dependent, high-dimensional nonlinear dynamical systems with multiple resonances

Park

Altmeyer

et al. 2015

Phys. Rev. E

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We investigate high-dimensional nonlinear dynamical systems exhibiting multiple resonances under adiabatic parameter variations. Our motivations come from experimental considerations where time-dependent sweeping of parameters is a practical approach to probing and characterizing the bifurcations of the system. The question is whether bifurcations so detected are faithful representations of the bifurcations intrinsic to the original stationary system. Utilizing a harmonically forced, closed fluid flow system that possesses multiple resonances and solving the Navier-Stokes equation under proper boundary conditions, we uncover the phenomenon of the early effect. Specifically, as a control parameter, e.g., the driving frequency, is adiabatically increased from an initial value, resonances emerge at frequency values that are lower than those in the corresponding stationary system. The phenomenon is established by numerical characterization of physical quantities through the resonances, which include the kinetic energy and the vorticity field, and a heuristic analysis based on the concept of instantaneous frequency. A simple formula is obtained which relates the resonance points in the time-dependent and timeindependent systems. Our findings suggest that, in general, any true bifurcation of a nonlinear dynamical system can be unequivocally uncovered through adiabatic parameter sweeping, in spite of a shift in the bifurcation point, which is of value to experimental studies of nonlinear dynamical systems.

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“…In other cases, one might choose to deliberately vary one or more control parameters. This is typically the case with experiments in the area of lasers and other nonlinear optical devices Mandel, 1983, 1984;Arimondo et al, 1983;Scharpf et al, 1987). A growing number of experimental papers have also been devoted to the study of pulsed catalytic and electrochemical reactors and combustion chambers (Sheintuch and Schmitz, 1977;Schmitz et al, 1984).…”

Section: Introductionmentioning

confidence: 99%

Bifurcation behavior of a catalytic reaction due to a slowly varying parameter

1988

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Bifurcation problems with slowly varying control parameters are of interest in several research areas, including catalyst deactivation, combustion, and lasers and other nonlinear optical devices. Significant theoretical work has been devoted to the study of these dynamic phenomena, but very little directly relevant experimental information is currently available. Results are presented here from an experimental study of the dynamic behavior of a catalytic reaction system due to a deliberately slowly varied control parameter. Attention is focused on the dynamics due to slow passage through simple limit and Hopf points.

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Experimental observation of a delayed bifurcation at the threshold of an argon laser

Cited by 70 publications

References 5 publications

Experimental study of the delayed threshold phenomenon in a class-A VECSEL

Experimental study of the delayed threshold phenomenon in a class-A VECSEL

Early effect in time-dependent, high-dimensional nonlinear dynamical systems with multiple resonances

Bifurcation behavior of a catalytic reaction due to a slowly varying parameter

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