Intermittency and chaos in a laser system with modulated inversion

Scholz, H J; Yamada, Tomoji; Brand, Helmut R.; Graham, R.

doi:10.1016/0375-9601(81)90905-1

Cited by 53 publications

(3 citation statements)

References 15 publications

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“…Pomeau and Manneville [18] described three types of intermittency (Types I−III) caused by linear instabilities of periodic trajectories, where Pomeau-Manneville Type I intermittency (PM1I) is associated with an inverse tangent bifurcation, Type II (PM2I) with a Hopf bifurcation, and Type III (PM3I) with a period-doubling bifurcation. PM1I has been observed in numerical studies of ordinary differential equations and discrete dynamical systems [19][20][21] and in specialized experiments [22][23][24][25]; PM2I in numerical and experimental studies of nonlinear oscillators [26,27] and in a hydrodynamical system [28]; and PM3I in biological systems [29,30], electrical applications [31][32][33][34], rainfall time series [12], and at the onset of hydrodynamic turbulence [35].…”

Section: Types Of Dynamical Intermittencymentioning

confidence: 98%

Fog Intermittency and Critical Behavior

Huang,

Katul,

Hintz

et al. 2023

Atmosphere

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The intermittency of fog occurrence (the switching between fog and no-fog) is a key stochastic feature that plays a role in its duration and the amount of moisture available. Here, fog intermittency is studied by using the visibility time series collected during the month of July 2022 on Sable Island, Canada. In addition to the visibility, time series of air relative humidity and turbulent kinetic energy, putative variables akin to the formation and breakup conditions of fog, respectively, are also analyzed in the same framework to establish links between fog intermittency and the underlying atmospheric variables. Intermittency in the time series is quantified with their binary telegraph approximations to isolate clustering behavior from amplitude variations. It is shown that relative humidity and turbulent kinetic energy bound many stochastic features of visibility, including its spectral exponent, clustering exponent, and the growth of its block entropy slope. Although not diagnostic, the visibility time series displays features consistent with Pomeau–Manneville Type-III intermittency in its quiescent phase duration PDF scaling (−3/2), power spectrum scaling (−1/2), and signal amplitude PDF scaling (−2). The binary fog time series exhibits properties of self-organized criticality in the relation between its power spectrum scaling and quiescent phase duration distribution.

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Section: Types Of Dynamical Intermittencymentioning

confidence: 98%

Fog Intermittency and Critical Behavior

Huang,

Katul,

Hintz

et al. 2023

Atmosphere

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“…In the case of a pulsed laser that has power fluctuation of 3% generally, the measurement and control of laser power are necessary for laser micro-machining [1]. It has long been known that all the laser exhibits chaotic instability in view of power fluctuation or frequency fluctuation [2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

A high transmission power stabilizer using brewster window for a UV pulsed laser in long-term drift

2011

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In this study, we developed a high transmission power stabilizer equipped with a Brewster window incorporating a proportionalintegral-derivative (PID) controller. We used a 248 nm KrF excimer laser signals collected by a photodiode detector (PD) to stabilize the power fluctuation of pulsed laser in long-term drift situation. The power fluctuation averaged 2.73% after 45 minutes of uninterrupted operation. However, with the power stabilizer, the power fluctuation averaged 0.97%. The power stabilizer exhibited a maximum transmission rate of 96.9% which is better than that of conventional one and the maximum attenuated optical transmission reached 65.6%.

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“…Phys. France 49 (1988) The introduction by Pomeau and Manneville [1] of the notion of intermittency as a specific route to weak turbulence has stimulated many theoretical [2,3], numerical [4][5][6] and experimental [7][8][9][10][11] [12] and type-III [13] intermittencies are concerned, it has been shown that not only the local instability but also the reinjection mechanism strongly condition the statistics of the laminar regions. One of the issues of this paper, which is devoted to the study of type-11 intermittency, is to point out that the nature of the reinjection process may even affect the degree of structural stability [14] of this scenario to chaos.…”

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confidence: 99%