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This article proposes a dynamical system modeling approach for the analysis of longitudinal data of self-regulated homeostatic systems experiencing multiple excitations. It focuses on the evolution of a signal (e.g., heart rate) before, during, and after excitations taking the system out of its equilibrium (e.g., physical effort during cardiac stress testing). Such approach can be applied to a broad range of outcomes such as physiological processes in medicine and psychosocial processes in social sciences, and it allows to extract simple characteristics of the signal studied. The model is based on a first order linear differential equation with constant coefficients defined by three main parameters corresponding to the initial equilibrium value, the dynamic characteristic time, and the reaction to the excitation. Assuming the presence of interindividual variability (random effects) on these three parameters, we propose a two-step procedure to estimate them. We then compare the results of this analysis to several other estimation procedures in a simulation study that clarifies under which conditions parameters are accurately estimated. Finally, applications of this model are illustrated using cardiology data recorded during effort tests.

In this paper we examine the spectral changes in a white light laser filament due to different pulse shapes generated by a pulse shaping setup. We particularly explore how the properties of the filament spectra can be controlled by parametrically tailored white light pulses. The experiments are carried out in a gas cell with up to 9 bar of argon. Plasma generation and self-phase modulation strongly affect the pulse in the spectral and temporal domain. By exploiting these effects we show that the pulse spectrum can be modified in a desired way by either using second order parametric chirp functions to shift the filament spectrum to higher or lower wavelengths, or by optimizing pulse shapes with a genetic algorithm to generate more complex filament spectra. This paper is one of the first examples of the application of complex, parametrically shaped white light pulses., 14 pages, 7 figures

Light can be used to modify and control properties of media, as in the case of electromagnetically induced transparency or, more recently, for the generation of slow light or bright coherent XUV and X-ray radiation. Particularly unusual states of matter can be created by light fields with strengths comparable to the Coulomb field that binds valence electrons in atoms, leading to nearly-free electrons oscillating in the laser field and yet still loosely bound to the core [1,2]. These are known as Kramers-Henneberger states [3], a specific example of laser-dressed states [2]. Here, we demonstrate that these states arise not only in isolated atoms [4,5], but also in rare gases, at and above atmospheric pressure, where they can act as a gain medium during laser filamentation. Using shaped laser pulses, gain in these states is achieved within just a few cycles of the guided field. The corresponding lasing emission is a signature of population inversion in these states and of their stability against ionization. Our work demonstrates that these unusual states of neutral atoms can be exploited to create a general ultrafast gain mechanism during laser filamentation., Comment: 9 pages, 4 figures, 10 pages supplementary material, 8 supplementary figures

Light is used to modify or control properties in many quantum systems, leading to phenomena such as electromagnetically induced transparency, the generation of slow light or bright coherent XUV radiation. Using light fields, with strengths comparable to the Coulomb field which binds valence electrons in atoms, particularly unusual quantum states can be created which describe a nearly free electron oscillating in the laser field yet still loosely bound to the core1, 2. We demonstrate that such states can arise not only in isolated atoms3, but also in gases at a few atmospheric pressures, guiding intense laser pulses, where they can act as a gain medium. This gain is created within just a few cycles of the guided field. Using shaped pulses4 with 5–10 fs risetimes, we create pulse conditions, within a laser filament, where these states can persist, and we observe in the corresponding emission, the signatures of these states. This work demonstrates a general, new, ultrafast gain mechanism during filamentation, in which any driven atom can achieve inversion intra-pulse, using pulse shaping techniques.

We study the triggering of single filaments due to turbulence in the beam path for a laser of power below the filamenting threshold. Turbulence can act as a switch between the beam not filamenting and producing single filaments. This 'positive' effect of turbulence on the filament probability, combined with our observation of off-axis filaments suggests the underlying mechanism is modulation instability caused by transverse perturbations. We hereby experimentally explore the interaction of modulation instability and turbulence, commonly associated with multiple-filaments, in the single-filament regime., 5 pages, 6 figures

In the version of this Letter originally published, the units of the bottom three values in the Fig. 1d legend were incorrect; they should have been W cm–2. This has now been corrected.

Tightly focused femtosecond laser-beam in the non-ablative regime can induce a shock-wave enough to reach locally pressures in the giga-Pascal range or more. In a single beam configuration, the location of the highest-pressure zone is nested within the laser-focus zone, making it difficult to differentiate the effect of the shock-wave pressure from photo-induced and plasma relaxation effect. To circumvent this difficulty, we consider two spatially separated focused beams that individually act as quasi-simultaneous pressure-wave emitters. The zone where both shock-waves interfere constructively forms a region of extreme pressure range, physically separated from the regions under direct laser exposure. Here, we present evidences of pressured-induced densification in fused silica in between the foci of the two beams, which can be exclusively attributed to the superposition of the pressure waves emitted by each focused laser-beam. Specifically, we show how the beams gap and pulses time-delay affect the structural properties of fused silica using Raman characterization, beam deflection technique, and selective etching techniques. The method is generic and can be implemented in a variety of transparent substrates for high-pressure physics studies and, unlike classical methods, such as the use of diamond anvils, offers a means to create arbitrary-shaped laser-induced high-pressure impacted zones by scanning the two beams across the specimen volume