In the last few years, interest in polymer optical fibers (POF) has increased because of their low cost, easy handling and good flexibility even at large diameters. Moreover, optical cables do not have the problem of electromagnetic interference, which gives, for instance, the problem of cross-talk in copper telephone cables. In the usage of current communication and computer systems the yield has gained a big importance and it has seen from studies that light scattering loss is the only loss, which cannot be eliminated entirely. Besides, this loss causes its attenuation loss intrinsically and determines the lower limit of loss in the POF. In this work, the importance and the dependencies of light scattering were studied, and calculations were done in order to find more appropriate polymer for using as core material of POFs. For this aim, a computer program that calculates the light scattering loss of several amorphous polymers and plots the graph of isotropic scattering loss versus isothermal compressibility and total attenuation loss versus wavelength was written.

Les nanocristaux à structure non-centrosymétrique présentent des propriétés optiques non linéaires prometteuses pour une utilisation en tant que marqueurs optiques en imagerie biomédicale, avec un intérêt significatif en termes de suivi sur de longues durées et de profondeur de pénétration dans les tissus biologiques. Le développement de ces marqueurs nécessite la détermination de leurs efficacités optiques non linéaires afin de pouvoir sélectionner les nanocristaux les plus prometteurs. Pour cela, la technique de diffusion Hyper-Rayleigh a été adaptée à la caractérisation de suspensions de nanoparticules (BaTiO3, KNbO3, KTP, LiNbO3 et ZnO, BiFeO3) pour lesquelles l'influence de paramètres comme la taille, la concentration ou l'état d'agrégation a été analysée et discutée. Les nanocristaux de BiFeO3 possèdent une efficacité optique non linéaire largement supérieure aux autres particules, démontrant leur potentiel pour la réalisation de nano-sondes optiques particulièrement performantes. Des mesures résolues en polarisation ont également été mises en œuvre pour déterminer les coefficients optiques non linéaires indépendants des particules étudiées. Dans ce cadre, une étude a permis de mettre en évidence l'influence de la forme des nanocristaux sur cette réponse.

Des séismes provenant de la ride médio-atlantique et du nord canadien ont été utilisés afin de dégager les structures de la croûte et du manteau supérieur au Groenland. Ces tremblements de terre, enregistrés aux stations sismiques permanentes et temporaires du projet GLATIS (Greenland Lithosphere Analysed Teleseismically on the Ice Sheet), ont permis d'acquérir plus de 3200 trajectoires séisme-station, couvrant ainsi la majorité de la région à l'étude. Afin d'identifier les structures de la croûte et du manteau supérieur au Groenland, nous avons analysé les composantes verticales des données sismiques provenant de ces trajectoires séisme-station et avons obtenu des courbes de dispersion de vitesses de groupe d'onde de Rayleigh au moyen de la méthode d'analyse en filtrage multiple. Nous avons construit des cartes tomographiques de vitesses de groupe pour une gamme de périodes de 15 à 50 secondes à partir d'une inversion tomographique pour un milieu isotropique. Les résultats de l'inversion des vitesses de groupe ont été utilisés afin de construire des courbes de dispersion unidimensionnelles. Nous avons procédé à une inversion des courbes ayant un intérêt géologique afin de dégager des modèles de vitesses d'ondes de cisaillement en fonction de la profondeur pour quatre profils. Les modèles présentent une structure de vitesse élevée Vs par rapport au modèle de référence (iasp91 modifié) pour la partie sud du Groenland, sus-jacente à une structure de faible vitesse plus en profondeur. Des variations de l'ordre de 10 % supérieur au modèle de référence ont été observées dans la portion centre-sud au sein de la croûte continentale. Cette structure est interprétée comme étant la partie précambrienne du Groenland, soit le craton archéen et la ceinture protérozoïque Nagssugtoqidian. Une structure circulaire, observée sur les cartes tomographiques de vitesse de groupe, été notée dans la partie centrale. Cette dernière pourrait être reliée à des structures à l'interface de la croûte continentale et du manteau supérieur, suggérant ainsi une épaisseur de croûte plus grande dans la partie centrale-est. Les courbes de dispersion unidimensionnelles proposent également une épaisseur de croûte plus importante dans la partie centrale du Groenland comparativement au sud. Les modèles réalisés lors de cette étude, similaires aux études tomographiques globales, ont permis d'augmenter significativement la résolution au Groenland et également l'obtention de nouvelles structures dans la croûte continentale et le manteau supérieur. ______________________________________________________________________________ MOTS-CLÉS DE L’AUTEUR : Groenland, structure, croûte, ondes de Rayleigh, vitesses de groupe

High-resolution seismic images of lithospheric structures allow us to infer the tectonics that modified the lithosphere. We apply such methods to understand Cenozoic modification of the lithosphere by tectonic and magmatic processes in the tectonically active western United States. Using USArray Transportable and Flexible Array data, we present high-resolution images for three regions in this thesis. (1) In the Mendocino triple junction, we use a joint inversion of Rayleigh-wave dispersion data and receiver functions to obtain a new crust and upper Vs model to ~150km depth. The model shows four distinct, young lithosphere-asthenosphere boundary systems. A low-Vs anomaly beneath the Great Valley-Sierra Nevada reconciles existing slab window models with the mantle-wedge geochemical signatures in Coast Range volcanics, and explains the ~3 Myr delay of the onset of volcanism after slab removal. Uppermost mantle low velocities provide evidence for forearc mantle serpentinization extending along the Cascadia margin. (2) In the Colorado Plateau, a Rayleigh wave tomography model sheds light on the volcanism along the margins and plateau uplift. Strong upper mantle heterogeneity across the plateau edge results from the combined effect of a ~200-400 K temperature difference and ~1% partial melt. A ring of low velocities under the plateau periphery suggests that the rehydrated Proterozoic lithosphere is progressively removed by convective processes. Particularly, a high-Vs anomaly imaged beneath the western plateau adds evidence for a downwelling/delamination hypothesis [Levander et al., 2011]. Thermo-chemical edge-driven convection causing localized lithospheric downwelling provides uplift along the margins and magmatic encroachment into the plateau center. (3) In the final study, we developed a 3-D teleseismic scattering wave imaging technique based on the Kirchhoff approximation and 3-D inverse Generalized Radon Transform. Synthetic tests demonstrate higher resolution imaging for continuous, irregular interfaces or localized scatterers, in comparison to conventional methods. Applied to the High Lava Plains dataset, the transmission coefficient structure shows a deepening Moho near 117.6°W and three negative events that correlate well with the Rayleigh wave low-Vs zones. Images made with the Mendocino data clearly show rapidly decreasing lithosphere-asthenosphere boundary depths from the subduction to transform regime.

Basic diffusion analytical solutions of one-dimensional consolidation are presented for the case of a semi-infinite domain. Typical tractions considered include instantaneous loads of the medium with a free boundary pressure, as well as the case of a permeable membrane located at the forced boundary. <br /><br /> Two-dimensional boundary value problems for a porous half-space, described by the widely recognized Biot's equations of poroelasticity, including inertia effects is discussed. In this poroelastic version of Lamb's problem in the classical theory of linear elastic waves, the surface of a porous half-space is subjected to a prescribed line traction. The following two broadly applicable cases are considered: 1) A steady state harmonic load, 2) An impulsive load (Dirac delta function time dependence). A general analytical solution of the problem in the Fourier -- Laplace space was obtained by the application of the standard Helmholtz potential decomposition, which reduces the problem to a system of wave equations for three unknown potentials, which correspond to three types of motion: P1, slow P2 wave, and the shear wave S. The possibilities of, and procedure for, obtaining analytic solutions in the physical space subsequently are discussed in detail. When viscous dissipation effects are taken into account, a steady-state harmonic line traction solution can be represented in the form of well convergent integrals, while for the case when viscous dissipation is ignored, closed form analytic solutions can be obtained for impulsive forcing with the application of the Cagniard -- de Hoop inversion technique. Numerical studies of the dispersion relation of the Rayleigh, or surface, wave for cases in which the dissipation is not negligible are presented.

Basic diffusion analytical solutions of one-dimensional consolidation are presented for the case of a semi-infinite domain. Typical tractions considered include instantaneous loads of the medium with a free boundary pressure, as well as the case of a permeable membrane located at the forced boundary. <br /><br /> Two-dimensional boundary value problems for a porous half-space, described by the widely recognized Biot's equations of poroelasticity, including inertia effects is discussed. In this poroelastic version of Lamb's problem in the classical theory of linear elastic waves, the surface of a porous half-space is subjected to a prescribed line traction. The following two broadly applicable cases are considered: 1) A steady state harmonic load, 2) An impulsive load (Dirac delta function time dependence). A general analytical solution of the problem in the Fourier -- Laplace space was obtained by the application of the standard Helmholtz potential decomposition, which reduces the problem to a system of wave equations for three unknown potentials, which correspond to three types of motion: P1, slow P2 wave, and the shear wave S. The possibilities of, and procedure for, obtaining analytic solutions in the physical space subsequently are discussed in detail. When viscous dissipation effects are taken into account, a steady-state harmonic line traction solution can be represented in the form of well convergent integrals, while for the case when viscous dissipation is ignored, closed form analytic solutions can be obtained for impulsive forcing with the application of the Cagniard -- de Hoop inversion technique. Numerical studies of the dispersion relation of the Rayleigh, or surface, wave for cases in which the dissipation is not negligible are presented.

The convective mass transfer coefficient is determined for evaporation in a horizontal rectangular duct, which forms the test section of the transient moisture transfer (TMT) facility. In the test facility, a short pan is situated in the lower panel of the duct where a hydrodynamically fully developed laminar or turbulent airflow passes over the surface of the water. The measured convective mass transfer coefficients have uncertainties that are typically less than ±10% and are presented for Reynolds numbers (ReD) between 560 and 8,100, Rayleigh numbers (RaD) between 6,100 and 82,500, inverse Graetz numbers (Gz) between 0.003 and 0.037, and operating conditions factors (H*) between -3.6 and -1.4. The measured convective mass transfer coefficients are found to increase as ReD, RaD, Gz and H* increase and these effects are included in the Sherwood number (ShD) correlations presented in this thesis, which summarize the experimental data.<p> An analogy between heat and mass transfer is developed to determine the convective heat transfer coefficients from the experimentally determined ShD correlations. The convective heat transfer coefficient is found to be a function of ShD and the ratio between heat and moisture transfer potentials (S*) between the surface of the water and the airflow in the experiment. The analogy is used in the development of a new method that converts a pure heat transfer NuD (i.e., heat transfer with no mass transfer) and a pure mass transfer ShD (i.e., mass transfer with no heat transfer) into NuD and ShD that are for simultaneous heat and mass transfer. The method is used to convert a pure heat transfer NuD from the literature into the NuD and ShD numbers measured in this thesis. The results of the new method agree within experimental uncertainty bounds, while the results of the traditional method do not, indicating that the new method is more applicable than the traditional analogy between heat and mass transfer during simultaneous heat and mass transfer.<p>A numerical model is developed that simulates convective heat and mass transfer for a vapor permeable Tyvek® membrane placed between an airflow and liquid water. The boundary conditions imposed on the surfaces of the membrane within the model are typical of the conditions that are present within the TMT facility. The convective heat and mass transfer coefficients measured in this thesis are applied in the model to determine the heat and moisture transfer through the membrane. The numerical results show that the membrane responds very quickly to a step change in temperature and relative humidity of the air stream. Since the transients occur over a short period of time (less than 1 minute), it is feasible to use a steady-state model to determine the heat and mass transfer rates through the material for HVAC applications.<p>The TMT facility is also used to measure the heat and moisture transfer through a vapor permeable Tyvek® membrane. The membrane is in contact with a water surface on its underside and air is passed over its top surface with convective boundary conditions. The experimental data are used to verify the numerically determined moisture transfer rate through the Tyvek® membrane. The numerical model is able to determine the mass transfer rates for a range of testing conditions within ±26% of the experimental data. The differences between the experiment and the model could be due to a slightly different mass transfer coefficient for flow over Tyvek® than for flow over a free water surface.

The thesis develops two characterizations of spatio-temporal complex patterns. While these are developed for the patterns of fluid flow in experiments on Rayleigh-Benard Convection(RBC), they are adaptable to a wide range of spatially extended systems. The characterizations may be especially useful in cases where one does not have good models describing the dynamics, making numerical and analytic studies difficult. In Spiral Defect Chaos(SDC), a weakly turbulent regime of RBC, the convective rolls exhibit complex spatial and temporal dynamics. We study the dynamics of SDC through local defect formations between convective rolls as well as the topological rearrangements of these rolls at a global scale. A laser based thermal actuation system is developed to reproducibly impose initial states for the fluid flow and construct ensembles of trajectories in the neighborhood of defect nucleation. This is used to extract the modes and their growth rates, characterizing the linear manifold corresponding to defect nucleation. The linear manifold corresponding to instabilities resulting in defect formation is key to building efficient schemes to control the dynamics exhibited. We also develop the use of computational homology as a tool to study spatially extended dynamical systems. A quantitative measure of the topological features of patterns is shown to provide insights into the underlying dynamics not easily uncovered otherwise. In the case of RBC, the homology of the patterns is seen to indicate asymmetries between hot and cold regions of the flow, stochastic evolution at a global scale as well as bifurcations occurring well into the turbulent regime of the flow.

In this thesis, Rayleigh-mode and Sezawa-mode surface acoustic wave devices, and SMR-based (solidly mounted resonator, SMR) thin film bulk acoustic wave devices were employed to construct the UV sensors. The oscillators are composed of acoustic wave devices, high-frequency amplifier and matching networks. Due to the fact that the different acoustic wave devices are associated with the different propagating behaviors, electromechanical coefficient and resonance characteristics, they lead to the diversely sensing properties. Although Rayleigh-mode and Sezawa-mode SAW devices are both constructed by a ZnO sensing layer, they operate with different resonance behaviors and propagate with different phase velocities in the layered structures. Therefore, they result in different frequency shifts and sensitivities while illuminating UV light on the surface of ZnO thin films. As to the SMR device, the acoustic waves are confined within the ZnO piezoelectric layer sandwiched between two metal electrodes and then resonance as standing waves. In general, thin film bulk acoustic wave devices, which are SMR devices in this thesis, possess a higher operating frequency and better frequency response than those of SAW devices. Therefore, it is expected that UV sensors based on SMR devices will lead to an excellent performance. The Rayleigh-mode SAW-based UV sensors consisted of a 3£gm-thickness ZnO thin film for sensing UV light and a 2mm-thickness LiNbO3 substrate for generating surface acoustic waves in the ZnO/ LiNbO3 layered structure. Because surface acoustic waves travel along the surface within the depth of one wavelength, 32 £gm herein, most of them propagate in the LiNbO3 substrate. SAWs were perturbed slightly and consequently resulted in an unsatisfactorily maximum frequency shift of 63.75 kHz when a UV light intensity of 1250 £gW/cm2 was illuminated on the surface of ZnO thin film. Because ZnO films in this thesis are used as the sensing layer for UV light, we adjusted the sputtering parameter of deposition temperature to improve their crystalline properties and further enhance the sensitivity of ZnO/LiNbO3 layered SAW devices. Finally, the maximum frequency shift was raised to 264 kHz with the same UV light intensity using the deposition temperature of 400 ¢J. The ZnO thin films in the ZnO/Si layered structure were simultaneously employed as the piezoelectric layer for generating SAWs and the sensing layer for UV light. Therefore, all of the acoustic waves propagate within the ZnO thin films and are easier disturbed than the devices operated with the ZnO/LiNbO3 layered structure. This accounts for the relatively large frequency shift of 1017 kHz with the UV light intensity of 551 £gW/cm2. The ½ £f type SMR device was adopted to construct the UV sensor due to their better resonance characteristics than those of ¼ £f type. As can be seen from the results that SMR-based UV sensor presented better UV sensing properties compared with SAW-based UV sensors. The reasons for the considerable frequency shifts and sensitivities can be attributed to that SMR-based sensor possesses a shorter resonance wavelength and a larger electromechanical coefficient than those of SAW-based devices. Finally, the maximum frequency shift of 552 kHz can be obtained when the illumination intensity of UV light was 212 £gW/cm2.

In this thesis, we address the statistics of mutual information of amplify-and-forward (AF) multiple-input multiple-output (MIMO) two-hop relay channels, where the source terminal (ST), relay terminal (RT) and destination terminal (DT) are equipped with a number of correlated antennas and there is a line-of-sight (LOS) component (Rician fading) of each link. To the best of our knowledge, deriving analytical expressions for the statistics of mutual information of the relay channel is difficult and still unsolvable. To circumvent the mathematical difficulties, we consider this problem under the large-system regimen in which the numbers of antennas at the transmitter and receiver go to infinity with a fixed ratio. In the large-system regimen, this thesis has made the following contributions: 1) We get the mean and the variance of the mutual information of the concerned relay channel. 2) We show that the mutual information distribution converges to the Gaussian distribution. The analytical results are derived by mean of two powerful tools developed in the context of theoretical physics: emph{saddle-point approximation} and emph{superanalysis}. The derived analytical results are very general and can degenerate to several previously results as special cases. From a degenerated case, we realize that the previous result by Wagner {em et al.} cite{Wag-08} is wrong and thus we provide the corrected result. Finally, Simulation results demonstrate that even for a moderate number of antennas at each end, the proposed analytical results provide undistinguishable results as those obtained by Monte-Carlo results.