On the theory of mixing-frequency electron spin-echo envelope modulation spectroscopy

It has recently been stated that the parametrization of the time variables in the one-dimensional (I-D) mixing-frequency electron spin-echo envelope modulation (MIF-ESEEM) experiment is incorrect and hence the wrong frequencies for correlated nuclear transitions are predicted. This paper is a direct response to such a claim, its purpose being to show that the parametrization in land 2-D MIF-ESEEM experiments possesses the same form as that used in other 4-pulse incrementation schemes and predicts the same correlation frequencies. We show that the parametrization represents a shearing transformation of the 2-D time-domain and relate the resulting frequency domain spectrum to the HYSCORE spectrum in terms of a skew-projection. It is emphasized that the parametrization of the time-domain variables may be chosen arbitrarily and affects neither the computation of the correct nuclear frequencies nor the resulting resolution. The usefulness or otherwise of the MIF parameters \gamma\ > 1 is addressed, together with the validity of the original claims of the authors with respect to resolution enhancement in cases of purely homogeneous and inhomogeneous broadening. Numerical simulations are provided to illustrate the main points.

Symmetry breaking, mixing, instability, and low frequency variability in a minimal Lorenz-like system

Starting from the classical Saltzman two-dimensional convection equations, we derive via a severe spectral truncation a minimal 10 ODE system which includes the thermal effect of viscous dissipation. Neglecting this process leads to a dynamical system which includes a decoupled generalized Lorenz system. The consideration of this process breaks an important symmetry and couples the dynamics of fast and slow variables, with the ensuing modifications to the structural properties of the attractor and of the spectral features. When the relevant nondimensional number (Eckert number Ec) is different from zero, an additional time scale of O(Ec−1) is introduced in the system, as shown with standard multiscale analysis and made clear by several numerical evidences. Moreover, the system is ergodic and hyperbolic, the slow variables feature long-term memory with 1/f3/2 power spectra, and the fast variables feature amplitude modulation. Increasing the strength of the thermal-viscous feedback has a stabilizing effect, as both the metric entropy and the Kaplan-Yorke attractor dimension decrease monotonically with Ec. The analyzed system features very rich dynamics: it overcomes some of the limitations of the Lorenz system and might have prototypical value in relevant processes in complex systems dynamics, such as the interaction between slow and fast variables, the presence of long-term memory, and the associated extreme value statistics. This analysis shows how neglecting the coupling of slow and fast variables only on the basis of scale analysis can be catastrophic. In fact, this leads to spurious invariances that affect essential dynamical properties (ergodicity, hyperbolicity) and that cause the model losing ability in describing intrinsically multiscale processes.

Phase discrimination and simultaneous frequency conversion of the orthogonal components of an optical signal by four-wave mixing in an SOA

Simultaneous conversion of the two orthogonal phase components of an optical input to different output frequencies has been demonstrated by simulation and experiment. A single stage of four-wave mixing between the input signal and four pumps derived from a frequency comb was employed. The nonlinear device was a semiconductor optical amplifier, which provided overall signal gain and sufficient contrast for phase sensitive signal processing. The decomposition of a quadrature phase-shift keyed signal into a pair of binary phase-shift keyed outputs at different frequencies was also demonstrated by simulation.

A method to lower the detection limit for optical beat signals from a frequency-dithered stabilized laser

A narrow absorption feature in an atomic or molecular gas (such as iodine or methane) is used as the frequency reference in many stabilized lasers. As part of the stabilization scheme an optical frequency dither is applied to the laser. In optical heterodyne experiments, this dither is transferred to the RF beat signal, reducing the spectral power density and hence the signal to noise ratio over that in the absence of dither. We removed the dither by mixing the raw beat signal with a dithered local oscillator signal. When the dither waveform is matched to that of the reference laser the output signal from the mixer is rendered dither free. Application of this method to a Winters iodine-stabilized helium-neon laser reduced the bandwidth of the beat signal from 6 MHz to 390 kHz, thereby lowering the detection threshold from 5 pW of laser power to 3 pW. In addition, a simple signal detection model is developed which predicts similar threshold reductions.

Effect of multiple transverse modes in self-mixing sensors based on vertical-cavity surface-emitting lasers

We investigate the effect of coexisting transverse modes on the operation of self-mixing sensors based on vertical-cavity surface-emitting lasers (VCSELs). The effect of multiple transverse modes on the measurement of displacement and distance were examined by simulation and in laboratory experiment. The simulation model shows that the periodic change in the shape and magnitude of the self-mixing signal with modulation current can be properly explained by the different frequency-modulation coefficients of the respective transverse modes in VCSELs. The simulation results are in excellent agreement with measurements performed on single-mode and multimode VCSELs and on self-mixing sensors based on these VCSELs.

High-Frequency Suspended Sediment Flux Measurements in a Small Estuary

In small estuaries, the predictions of scalar dispersion can rarely be predicted accurately because of a lack of fundamental understanding of the turbulence structure. Herein detailed turbulence measurements and suspended sediment concentrations were conducted simultaneously and continuously at high-frequency for 50 hours per investigation in a small subtropical estuary with semi-diurnal tides. The data analyses provided an unique characterisation of the turbulent mixing processes and suspended sediment fluxes. The turbulence was neither homogeneous nor isotropic, and it was not a Gaussian process. The integral time scales for turbulence and suspended sediment concentration were about equal during flood tides, but differed significantly during ebb tides. The field experiences showed that the turbulence measurements must be conducted at high-frequency to characterise the small eddies and the viscous dissipation process, while a continuous sampling was necessary to characterise the time-variations of the instantaneous velocity field, Reynolds stress tensor and suspended sediment flux during the tidal cycles.

BoBo mixing meseasurement at Belle using dilepton events tagged with a soft pion

L'expérience Belle, située dans le centre de recherche du KEK, au Japon, est consacrée principalement à l'étude de la violation de CP dans le système des mésons B. Elle est placée sur le collisionneur KEKB, qui produit des paires Banti-B. KEKB, l'une des deux « usines à B » actuellement en fonction, détient le record du nombre d'événements produits avec plus de 150 millions de paires. Cet échantillon permet des mesures d'une grande précision dans le domaine de la physique du méson B. C'est dans le cadre de ces mesures de précision que s'inscrit cette analyse. L'un des phénomènes remarquables de la physique des hautes énergies est la faculté qu'a l'interaction faible de coupler un méson neutre avec son anti-méson. Dans le présent travail, nous nous intéressons au méson B neutre couplé à l'anti-méson B neutre, avec une fréquence d'oscillation _md mesurable précisément. Outre la beauté de ce phénomène lui-même, une telle mesure trouve sa place dans la quête de l'origine de la violation de CP. Cette dernière n'est incluse que d'une façon peu satisfaisante dans le modèle standard des interactions électro-faibles. C'est donc la recherche de phénomènes physiques encore inexpliqués qui motive en premier lieu la collaboration Belle. Il existe déjà de nombreuses mesures de _md antérieures. Celle que nous présentons ici est cependant d'une précision encore jamais atteinte grâce, d'une part, à l'excellente performance de KEKB et, d'autre part, à une approche originale qui permet de réduire considérablement la contamination de la mesure par des événements indésirés. Cette approche fut déjà mise à profit par d'autres expériences, dans des conditions quelque peu différentes de celles de Belle. La méthode utilisée consiste à reconstruire partiellement l'un des mésons dans le canal ___D*(D0_)l_l, en n'utilisant que les informations relatives au lepton l et au pion _. L'information concernant l'autre méson de la paire Banti-B initiale n'est tirée que d'un seul lepton de haute énergie. Ainsi, l'échantillon à disposition ne souffre pas de grandes réductions dues à une reconstruction complète, tandis que la contamination due aux mésons B chargés, produits par KEKB en quantité égale aux B0, est fortement diminuée en comparaison d'une analyse inclusive. Nous obtenons finalement le résultat suivant : _md = 0.513±0.006±0.008 ps^-1, la première erreur étant l'erreur statistique et la deuxième, l'erreur systématique.<br/><br/>The Belle experiment is located in the KEK research centre (Japan) and is primarily devoted to the study of CP violation in the B meson sector. Belle is placed on the KEKB collider, one of the two currently running "B-meson factories", which produce Banti-B pairs. KEKB has created more than 150 million pairs in total, a world record for this kind of colliders. This large sample allows very precise measurements in the physics of beauty mesons. The present analysis falls within the framework of these precise measurements. One of the most remarkable phenomena in high-energy physics is the ability of weak interactions to couple a neutral meson to its anti-meson. In this work, we study the coupling of neutral B with neutral anti-B meson, which induces an oscillation of frequency _md we can measure accurately. Besides the interest of this phenomenon itself, this measurement plays an important role in the quest for the origin of CP violation. The standard model of electro-weak interactions does not include CP violation in a fully satisfactory way. The search for yet unexplained physical phenomena is, therefore, the main motivation of the Belle collaboration. Many measurements of _md have previously been performed. The present work, however, leads to a precision on _md that was never reached before. This is the result of the excellent performance of KEKB, and of an original approach that allows to considerably reduce background contamination of pertinent events. This approach was already successfully used by other collaborations, in slightly different conditions as here. The method we employed consists in the partial reconstruction of one of the B mesons through the decay channel ___D*(D0_)l_l, where only the information on the lepton l and the pion _ are used. The information on the other B meson of the initial Banti-B pair is extracted from a single high-energy lepton. The available sample of Banti-B pairs thus does not suffer from large reductions due to complete reconstruction, nor does it suffer of high charged B meson background, as in inclusive analyses. We finally obtain the following result: _md = 0.513±0.006±0.008 ps^-1, where the first error is statistical, and the second, systematical.<br/><br/>De quoi la matière est-elle constituée ? Comment tient-elle ensemble ? Ce sont là les questions auxquelles la recherche en physique des hautes énergies tente de répondre. Cette recherche est conduite à deux niveaux en constante interaction. D?une part, des modèles théoriques sont élaborés pour tenter de comprendre et de décrire les observations. Ces dernières, d?autre part, sont réalisées au moyen de collisions à haute énergie de particules élémentaires. C?est ainsi que l?on a pu mettre en évidence l?existence de quatre forces fondamentales et de 24 constituants élémentaires, classés en « quarks » et « leptons ». Il s?agit là de l?une des plus belles réussites du modèle en usage aujourd?hui, appelé « Modèle Standard ». Il est une observation fondamentale que le Modèle Standard peine cependant à expliquer, c?est la disparition quasi complète de l?anti-matière (le « négatif » de la matière). Au niveau fondamental, cela doit correspondre à une asymétrie entre particules (constituants de la matière) et antiparticules (constituants de l?anti-matière). On l?appelle l?asymétrie (ou violation) CP. Bien qu?incluse dans le Modèle Standard, cette asymétrie n?est que partiellement prise en compte, semble-t-il. En outre, son origine est inconnue. D?intenses recherches sont donc aujourd?hui entreprises pour mettre en lumière cette asymétrie. L?expérience Belle, au Japon, en est une des pionnières. Belle étudie en effet les phénomènes physiques liés à une famille de particules appelées les « mésons B », dont on sait qu?elles sont liées de près à l?asymétrie CP. C?est dans le cadre de cette recherche que se place cette thèse. Nous avons étudié une propriété remarquable du méson B neutre : l?oscillation de ce méson avec son anti-méson. Cette particule est de se désintégrer pour donner l?antiparticule associée. Il est clair que cette oscillation est rattachée à l?asymétrie CP. Nous avons ici déterminé avec une précision encore inégalée la fréquence de cette oscillation. La méthode utilisée consiste à caractériser une paire de mésons B à l?aide de leur désintégration comprenant un lepton chacun. Une plus grande précision est obtenue en recherchant également une particule appelée le pion, et qui provient de la désintégration d?un des mésons. Outre l?intérêt de ce phénomène oscillatoire en lui-même, cette mesure permet d?affiner, directement ou indirectement, le Modèle Standard. Elle pourra aussi, à terme, aider à élucider le mystère de l?asymétrie entre matière et anti-matière.

Understanding mixing efficiency in the oceans. Do the nonlinearities of the equation of state matter?

There exist two central measures of turbulent mixing in turbulent stratified fluids that are both caused by molecular diffusion: 1) the dissipation rate D(APE) of available potential energy APE; 2) the turbulent rate of change Wr, turbulent of background gravitational potential energy GPEr. So far, these two quantities have often been regarded as the same energy conversion, namely the irreversible conversion of APE into GPEr, owing to the well known exact equality D(APE)=Wr, turbulent for a Boussinesq fluid with a linear equation of state. Recently, however, Tailleux (2009) pointed out that the above equality no longer holds for a thermally-stratified compressible, with the ratio ξ=Wr, turbulent/D(APE) being generally lower than unity and sometimes even negative for water or seawater, and argued that D(APE) and Wr, turbulent actually represent two distinct types of energy conversion, respectively the dissipation of APE into one particular subcomponent of internal energy called the "dead" internal energy IE0, and the conversion between GPEr and a different subcomponent of internal energy called "exergy" IEexergy. In this paper, the behaviour of the ratio ξ is examined for different stratifications having all the same buoyancy frequency N vertical profile, but different vertical profiles of the parameter Υ=α P/(ρCp), where α is the thermal expansion coefficient, P the hydrostatic pressure, ρ the density, and Cp the specific heat capacity at constant pressure, the equation of state being that for seawater for different particular constant values of salinity. It is found that ξ and Wr, turbulent depend critically on the sign and magnitude of dΥ/dz, in contrast with D(APE), which appears largely unaffected by the latter. These results have important consequences for how the mixing efficiency should be defined and measured in practice, which are discussed.

Stirring and mixing in two-dimensional divergent flow

While stirring and mixing properties in the stratosphere are reasonably well understood in the context of balanced (slow) dynamics, as is evidenced in numerous studies of chaotic advection, the strongly enhanced presence of high-frequency gravity waves in the mesosphere gives rise to a significant unbalanced (fast) component to the flow. The present investigation analyses result from two idealized shallow-water numerical simulations representative of stratospheric and mesospheric dynamics on a quasi-horizontal isentropic surface. A generalization of the Hua–Klein Eulerian diagnostic to divergent flow reveals that velocity gradients are strongly influenced by the unbalanced component of the flow. The Lagrangian diagnostic of patchiness nevertheless demonstrates the persistence of coherent features in the zonal component of the flow, in contrast to the destruction of coherent features in the meridional component. Single-particle statistics demonstrate t2 scaling for both the stratospheric and mesospheric regimes in the case of zonal dispersion, and distinctive scaling laws for the two regimes in the case of meridional dispersion. This is in contrast to two-particle statistics, which in the mesospheric (unbalanced) regime demonstrate a more rapid approach to Richardson’s t3 law in the case of zonal dispersion and is evidence of enhanced meridional dispersion.

On the nature of large-scale mixing in the stratosphere and mesosphere

Studies of tracer transport in the stratosphere have shown that adiabatic quasi-horizontal tracer evolution is controlled primarily by the large-scale low-frequency component of the flow. This behavior is consistent with the concept of chaotic advection, wherein the Eulerian velocity field is spatially coherent and temporally quasi-regular on timescales over which the Lagrangian evolution is chaotic. In this study, winds from a middle atmosphere general circulation model (the Canadian Middle Atmosphere Model) are used to compare and contrast the nature of tracer evolution in the stratosphere and mesosphere. It is found that the concept of chaotic advection is relevant in the stratosphere but not in the mesosphere. The explanation for this behavior is the increased strength of gravity wave activity in the mesosphere as compared with the stratosphere, which leads to shallower kinetic energy spectra on synoptic scales and a much shorter Eulerian correlation time. The shallower kinetic energy spectra imply that tracer evolution in the mesosphere is spectrally local, in contrast with the spectrally nonlocal regime that prevails in the stratosphere. This means that tracer advection calculations in the mesosphere are controlled primarily by the gravity wave spectrum and are intrinsically resolution dependent.

Measurement of B-d mixing using opposite-side flavor tagging

We report on a measurement of the B-d(0) mixing frequency and the calibration of an opposite-side flavor tagger in the D0 experiment. Various properties associated with the b quark on the opposite side of the reconstructed B meson are combined using a likelihood-ratio method into a single variable with enhanced tagging power. Its performance is tested with data, using a large sample of reconstructed semileptonic B ->mu(DX)-X-0 and B ->mu(DX)-X-* decays, corresponding to an integrated luminosity of approximately 1 fb(-1). The events are divided into groups depending on the value of the combined tagging variable, and an independent analysis is performed in each group. Combining the results of these analyses, the overall effective tagging power is found to be epsilon D-2=(2.48 +/- 0.21(-0.06)(+0.08))%. The measured B-d(0) mixing frequency Delta m(d)=0.506 +/- 0.020(stat)+/- 0.016(syst) ps(-1) is in good agreement with the world average value.

Low-frequency absorption cross section of the electromagnetic waves for extreme Reissner-Nordstrom black holes in higher dimensions

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

The (CH3OH)-C-13 optically pumped far-infrared laser: New lines and frequency measurements

We report 18 new laser lines from (CH3OH)-C-13 generated in an optically pumped far-infrared laser; the laser lines are in the range of 54.2-420 mu m and are all characterized in wavelength, polarization relative to the pumping CO2 radiation, and pump offset relative to the CO2 center frequency, the frequencies of seven of these new lines along with 10 previously reported lines were measured by an accurate heterodyne technique, mixing them in a metal-insulator-metal (MIM) point contact diode, with another laser line of known frequency.

Frequency measurements of CD3OH and (CH3OH)-C-13 optically pumped far-infrared laser lines

We report the frequency measurements of 18 optically pumped far-infrared (FIR) laser lines generated from CD3OH and (CH3OH)-C-13. We use the heterodyne technique of mixing FIR laser radiations and microwave radiation on a metal-insulator-metal point-contact tunnel diode to determine the FIR laser frequencies. Two FIR laser systems, consisting of CO2 waveguide pump lasers and Fabry-Perot FIR laser cavities, were used as optical sources. (C) 1997 Optical Society of America.

Experimental analysis of coaxial jets: instability, flow and mixing characterization

The velocity and mixing field of two turbulent jets configurations have been experimentally characterized by means of cold- and hot-wire anemometry in order to investigate the effects of the initial conditions on the flow development. In particular, experiments have been focused on the effect of the separation wall between the two streams on the flow field. The results of the experiments have pointed out that the wake behind a thick wall separating wall has a strong influence on the flow field evolution. For instance, for nearly unitary velocity ratios, a clear vortex shedding from the wall is observable. This phenomenon enhances the mixing between the inner and outer shear layer. This enhancement in the fluctuating activity is a consequence of a local absolute instability of the flow which, for a small range of velocity ratios, behaves as an hydrodynamic oscillator with no sensibility to external perturbations. It has been suggested indeed that this absolute instability can be used as a passive method to control the flow evolution. Finally, acoustic excitation has been applied to the near field in order to verify whether or not the observed vortex shedding behind the separating wall is due to a global oscillating mode as predicted by the theory. A new scaling relationship has been also proposed to determine the preferred frequency for nearly unitary velocity ratios. The proposed law takes into account both the Reynolds number and the velocity ratio dependence of this frequency and, therefore, improves all the previously proposed relationships.