Seismic attenuation due to wave-induced fluid flow at microscopic and macroscopic scales

Wave-induced fluid flow at microscopic and mesoscopic scales arguably constitutes the major cause of intrinsic seismic attenuation throughout the exploration seismic and sonic frequency ranges. The quantitative analysis of these phenomena is, however, complicated by the fact that the governing physical processes may be dependent. The reason for this is that the presence of microscopic heterogeneities, such as micro-cracks or broken grain contacts, causes the stiffness of the so-called modified dry frame to be complex-valued and frequency-dependent, which in turn may affect the viscoelastic behaviour in response to fluid flow at mesoscopic scales. In this work, we propose a simple but effective procedure to estimate the seismic attenuation and velocity dispersion behaviour associated with wave-induced fluid flow due to both microscopic and mesoscopic heterogeneities and discuss the results obtained for a range of pertinent scenarios.

Ellipsometric study of a-Si:H thin films deposited by square wave modulated rf glow discharge

Thin films of hydrogenated amorphous silicon (a‐Si:H), deposited by square wave modulated (SQWM) rf silane discharges, have been studied through spectroscopic and real time phase modulated ellipsometry. The SQMW films obtained at low mean rf power density (19 mW/cm2) have shown smaller surface roughness than those obtained in standard continuous wave (cw) rf discharges. At higher rf powers (≥56 mW/cm2), different behaviors depending on the modulating frequency have been observed. On the one hand, at low modulating frequencies (<40 Hz), the SQWM films have shown a significant increase of porosity and surface roughness as compared to cw samples. On the other, at higher modulating frequencies, the material density and roughness have been found to be similar in SQWM and cw films. Furthermore, the deposition rate of the films show more pronounced increases with the modulating frequency as the rf power is increased. Experimental results are discussed in terms of plasma negative charged species which can be relatively abundant in high rf power discharges and cause significant effects on the deposited layers through polymers, clusters, and powder formation.

Roughness and light scattering of ion-beam-sputtered fluoride coatings for 193 nm

Scattering characteristics of multilayer fluoride coatings for 193 nm deposited by ion beam sputtering and the related interfacial roughnesses are investigated. Quarter- and half-wave stacks of MgF2 and LaF3 with increasing thickness are deposited onto CaF2 and fused silica and are systematically characterized. Roughness measurements carried out by atomic force microscopy reveal the evolution of the power spectral densities of the interfaces with coating thickness. Backward-scattering measurements are presented, and the results are compared with theoretical predictions that use different models for the statistical correlation of interfacial roughnesses.

Gravitational wave pulse and soliton wave collision

We study the collision of a gravitational wave pulse and a soliton wave on a spatially homogeneous background. This collision is described by an exact solution of Einsteins equations in a vacuum which is generated from a nondiagonal seed by means of a soliton transformation. The effect produced by the soliton on the amplitude and polarization of the wave is considered.

What can we learn about gravitational wave physics with an elastic spherial antenna?

A general formalism is set up to analyze the response of an arbitrary solid elastic body to an arbitrary metric gravitational wave (GW) perturbation, which fully displays the details of the interaction antenna wave. The formalism is applied to the spherical detector, whose sensitivity parameters are thereby scrutinized. A multimode transfer function is defined to study the amplitude sensitivity, and absorption cross sections are calculated for a general metric theory of GW physics. Their scaling properties are shown to be independent of the underlying theory, with interesting consequences for future detector design. The GW incidence direction deconvolution problem is also discussed, always within the context of a general metric theory of the gravitational field.

Proposed gravitational wave observatory based on solid elastic spheres

Spherical gravitational wave (GW) detectors offer a wealth of so far unexplored possibilities to detect gravitational radiation. We find that a sphere can be used as a powerful testbed for any metric theory of gravity, not only general relativity as considered so far, by making use of a deconvolution procedure for all the electric components of the Riemann tensor. We also find that the spheres cross section is large at two frequencies, and advantageous at higher frequencies in the sense that a single antenna constitutes a real xylophone in its own. Proposed GW networks will greatly benefit from this. The main features of a two large sphere observatory are reported.

From Galilean-invariant to relativistic wave equations

Through an imaginary change of coordinates in the Galilei algebra in 4 space dimensions and making use of an original idea of Dirac and Lvy-Leblond, we are able to obtain the relativistic equations of Dirac and of Bargmann and Wigner starting with the (Galilean-invariant) Schrdinger equation.

In defense of the "tunneling" wave function of the universe

The tunneling approach to the wave function of the Universe has been recently criticized by Bousso and Hawking who claim that it predicts a catastrophic instability of de Sitter space with respect to pair production of black holes. We show that this claim is unfounded. First, we argue that different horizon size regions in de Sitter space cannot be treated as independently created, as they contend. And second, the WKB tunneling wave function is not simply the inverse of the Hartle-Hawking one, except in very special cases. Applied to the related problem of pair production of massive particles, we argue that the tunneling wave function leads to a small constant production rate, and not to a catastrophe as the argument of Bousso and Hawking would suggest.

Thermal and back-action noises in dual-sphere gravitational-wave detectors

We study the sensitivity limits of a broadband gravitational-wave detector based on dual resonators such as nested spheres. We determine both the thermal and back-action noises when the resonators displacements are read out with an optomechanical sensor. We analyze the contributions of all mechanical modes, using a new method to deal with the force-displacement transfer functions in the intermediate frequency domain between the two gravitational-wave sensitive modes associated with each resonator. This method gives an accurate estimate of the mechanical response, together with an evaluation of the estimate error. We show that very high sensitivities can be reached on a wide frequency band for realistic parameters in the case of a dual-sphere detector.

Particle creation in a colliding plane wave spacetime: Wave packet quantization

We use wave packet mode quantization to compute the creation of massless scalar quantum particles in a colliding plane wave spacetime. The background spacetime represents the collision of two gravitational shock waves followed by trailing gravitational radiation which focus into a Killing-Cauchy horizon. The use of wave packet modes simplifies the problem of mode propagation through the different spacetime regions which was previously studied with the use of monochromatic modes. It is found that the number of particles created in a given wave packet mode has a thermal spectrum with a temperature which is inversely proportional to the focusing time of the plane waves and which depends on the mode trajectory.

Pulse wave analysis aortic pressure . distole should also be considered

La rigidité anormalement haute des artères à grande conductance est un marqueur de l'augmentation du risque cardiovasculaire et est typiquement retrouvée chez les patients diabétiques ou hypertendus. Ces vaisseaux deviennent plus rigides avec l'âge, expliquant la haute prévalence d'hypertension systolique chez les personnes âgées. Cette rigidification agit sur la pression sanguine de plusieurs façons. Notamment la fonction windkessel est gênée, menant à l'augmentation de la pression systolique et de la pression puisée, la diminution de la pression diastolique, et ainsi à l'augmentation de la postcharge ventriculaire gauche associée à une probable diminution de la perfusion coronarienne. De plus, la propagation des ondes de pression le long de l'arbre vasculaire est accélérée, de sorte que les ondes réfléchies générées au site de décalage d'impédance atteignent l'aorte ascendante plus tôt par rapport au début de l'éjection ventriculaire, aboutissant à une augmentation de la pression systolique centrale, ce qui n'arriverait pas en présence de vaisseaux moins rigides. Dans ce cas, au contraire, les ondes de pression antérogrades et réfléchies voyages plus lentement, de sorte que les ondes de réflexion tendent à atteindre l'aorte centrale une fois l'éjection terminée, augmentant la pression diastolique et contribuant à la perfusion coronarienne. La tonométrie d'applanation est une méthode non invasive permettant l'évaluation de la forme de l'onde de pression au niveau l'aorte ascendante, basée sur l'enregistrement du pouls périphérique, au niveau radial dans notre étude. Nous pouvons dériver à partir de cette méthode un index d'augmentation systolique (sAIX) qui révèle quel pourcentage de la pression centrale est du aux ondes réfléchies. Plusieurs études ont montré que cet index est corrélé à d'autres mesures de la rigidité artérielle comme la vitesse de l'onde de pouls, qu'il augmente avec l'âge et avec les facteurs de risques cardiovasculaires, et qu'il est capable de préciser le pronostic cardiovasculaire. En revanche, peu d'attention a été portée à l'augmentation de la pression centrale diastolique due aux ondes réfléchies (dAIX). Nous proposons donc de mesurer cet index par un procédé d'analyse développé dans notre laboratoire, et ce dans la même unité que l'index systolique. Etant donné que les modifications de la paroi artérielle modulent d'une part la vitesse de l'onde de pouls (PWV) et d'autre part le temps de voyage aller-retour des ondes de pression réfléchies aux sites de réflexion, toute augmentation de la quantité d'énergie réfléchie atteignant l'aorte pendant la systole devrait être associée à une diminution de l'énergie arrivant au même point pendant la diastole. Notre étude propose de mesurer ces deux index, ainsi que d'étudier la relation de l'index d'augmentation diastolique (dAIX) avec la vitesse de propagation de l'onde de pouls (PWV) et avec le rythme cardiaque (HR), ce dernier étant connu pour influencer l'index d'augmentation systolique (sAIX) . L'influence de la position couchée et assise est aussi étudiée. Les mesures de la PWV et des sAIX et dAIX est réalisée chez 48 hommes et 45 femmes âgées de 18 à 70 ans, classés en 3 groupes d'âges. Les résultats montrent qu'en fonction de l'âge, le genre et la position du corps, il y a une relation inverse entre sAIX et dAIX. Lorsque PWV et HR sont ajoutés comme covariables à un modèle de prédiction comprenant l'âge, le genre et la position du corps comme facteurs principaux, sAIX est directement lié à PWV (p<0.0001) et inversement lié à HR (p<0.0001). Avec la même analyse, dAIX est inversement lié à PWV (p<0.0001) et indépendant du rythme cardiaque (p=0.52). En conclusion, l'index d'augmentation diastolique est lié à la rigidité vasculaire au même degré que l'index d'augmentation systolique, alors qu'il est affranchi de l'effet confondant du rythme cardiaque. La quantification de l'augmentation de la pression aortique diastolique due aux ondes réfléchies pourrait être une partie utile de l'analyse de l'onde de pouls.

Mean first-passage time for system driven by the coin-toss square wave

We study the mean-first-passage-time problem for systems driven by the coin-toss square-wave signal. Exact analytic solutions are obtained for the driftless case. We also obtain approximate solutions for the potential case. The mean-first-passage time exhibits discontinuities and a remarkable nonsmooth oscillatory behavior which, to our knowledge, has not been observed for other kinds of driving noise.