La demande pour des systèmes RF plus compacts avec des bandes plus larges a poussé l'exploration de bandes toujours plus hautes en fréquence forçant un transfert des technologies existantes et l'invention de nouvelles pour ces bandes. Parmi les principaux obstacles rencontrés dans cet effort, se trouvent le problème du confinement de champ, les pertes diélectriques importantes, et les difficultés d'intégration entre deux systèmes conçus avec une technologie différente. Afin de pallier à ces problèmes, plusieurs nouvelles technologies sont apparues durant ces deux dernières décennies. Une des plus prometteuse est le guide d'onde intégré au substrat (ou SIW pour Substrate Integrated Waveguide). Sa caractéristique principale est la possibilité d'intégrer les guides d'onde dans un substrat, le plus souvent en intégrant des cylindres métalliques ou diélectriques densément disposés, dans un substrat dont les faces, inférieure et supérieure, sont hautement conductrices. Cette technologie offre une liberté sans précédent à la gamme de systèmes pouvant être réalisés. La richesse de possibilités de designs, la robustesse et la solidité des performances ont conduit à un nombre très larges de systèmes SIW, certains d'entre eux trouvant place dans des applications commerciales. L'inconvénient de cette technologie provient du très grand nombre d'élément nécessaire et de la complexité de son agencement. Par conséquent, ils présentent un défi du point de vue d'un concepteur, nécessitant des analyses numériques et des optimisations. Les solveurs les plus couramment utilisés à cette fin sont basés sur la FÉM, la FDTD / FDFD et MoM, ou sur une fusion de plusieurs méthodes. Bien qu'ils soient à la hauteur pour une vaste gamme de structures, les plus rapides et plus précis sont très recherchés. Cette thèse porte sur une méthode numérique hybride adaptée à l'analyse d'une vaste gamme de structures SIW planaires. Elle repose sur une représentation efficace des champs dans des guides d'ondes à parois parallèles, chargés avec des diélectriques planaires simples ou multicouches contenant des cylindres ; elle permet la construction de systèmes linéaires dont les solutions donnent les amplitudes de champ post-dispersion. Ce problème est ce que nous appelons le mode-matching, et fournit des moyens de calcul rapide de champ en présence de cylindres métalliques et diélectriques. Étant donné qu'une part importante de ces dispositifs utilise des fentes rectangulaires étroites comme éléments de couplage et de rayonnement, nous proposons une approche basée sur les MoM pour leur analyse. Grâce à l'application du principe d'équivalence, chaque fente remplacée par des courants magnétiques équivalents; la procédure divise efficacement le problème le plus large en plusieurs plus petits, chacun appartenant à une région délimitée par des plaques PEC parallèles (un seul guide d'ondes à plans parallèles). En exerçant les conditions aux limites sur les surfaces des fentes et en effectuant la pondération Galerkin, on obtient un système linéaire dont les solutions sont les amplitudes des courants magnétiques. De là, nous procédons au calcul des quantités pertinentes telles que les paramètres S, Y et Z. Nous fournissons des critères empiriques pour choisir le nombre de modes / fonctions de base suffisantes pour une grande précision. En outre, nous présentons des techniques d'approximation et montrons comment exploiter les symétries inhérentes à des dispositifs SIW afin d'accélérer encore plus la méthode. Nous présentons les résultats de l'analyse de plusieurs structures SIW, obtenus par notre code en interne sur la base de la méthode exposée ici, et les comparons à ceux obtenus avec un solveur commercial standard. Les résultats obtenus montrent une excellente précision et efficacité de la méthode proposée. Le facteur d'accélération, la robustesse et la généralité en font un outil attrayant pour être utilisé dans la conception et l'optimisation des dispositifs SIW. / With constant demand for larger band and more compact RF devices, the rapid shift to higher frequency regions, as high as the W-band (75 to 110 GHz), forces microwave designers to both transfer existing technologies to and invent new ones for these bands. The major obstacles encountered in this endeavour are the problem of efficient field confinement, problematic electrical contacts, high dielectric losses, and difficult integration between devices realized with different technologies, to name a few. To overcome these issues, several competing technologies emerged in the past two decades. One of the most promising is the substrate-integrated waveguide (SIW) paradigm. Its key feature is the possibility of integrating waveguides into substrates, most often done by embedding densely-packed metal and dielectric cylinders into substrates bounded by highly-conductive layers, e.g. PCB-type ones. This provides unprecedented freedom in the range of devices that can be realized. Though commonly planar, these devices may have sidewalls of almost arbitrary shape and can be easily integrated with ones realized in alternative technologies, such as the coplanar-waveguide or microstrip technology. The richness in design possibilities, robustness and solid performance has led to a very large number of SIW devices, some of them finding place in commercial applications. Unfortunately, they often comprise a large number of elements and have complex layouts. Hence, they present a challenge from a designer’s perspective, necessitating numerical analysis and optimization. The most common solvers used for that purpose are based on FEM, FDTD/FDFD, and MoM, or merge several methods. Though they are up to the task for a vast range of structures, faster and more accurate ones are highly sought for. This thesis is concerned with a hybrid numerical method suited to the analysis of a vast range of planar SIW structures. It relies on an efficient representation of fields in parallel-plate waveguides, loaded with either single or multi-layer planar dielectrics, containing circular cylindrical posts; it enables the construction of linear systems whose solutions yield post-scattered field amplitudes. This problem is what we refer to as mode-matching, and provides means of fast computation of field in presence of metal and dielectric posts. Since a significant share of such devices use narrow rectangular slots as coupling and radiating elements, we propose an MoM-based approach to their analysis. Through the application of the equivalence principle, each slot replaced by equivalent magnetic currents; the procedure effectively partitions the larger problem into several smaller ones, each pertaining to a region bounded by parallel PEC plates (a single parallel-plate waveguide). Enforcing the boundary conditions at surfaces of slots and performing Galerkin weighting, we obtain a linear system whose solutions are the amplitudes of magnetic currents. From there we proceed to the computation of relevant quantities such as S, Y and Z parameters. We provide empirical criteria for choosing the number of modes/basis functions sufficient for high accuracy. Moreover, we present approximation techniques and show how to exploit symmetries inherent in SIW devices to speed up the method even further. To stress the features rendering our approach advantageous over the alternatives,we compare it to ones found in literature representing what we believe to be the most successful attempts. We present the results of analysis of several SIW structures of varying complexity, obtained by our in-house code based on the method exposed here, and compare them against the ones obtained with a standard commercial solver. The obtained results show excellent accuracy and efficiency of the proposed method. The speed-up factor, the robustness and generality make it an attractive tool to be used in design and optimization of SIW devices.

La thèse se concentre sur le suivi temporel des vitesses sismiques, notamment dans des zones de faille actives. En corrélant les signaux générés par le bruit ambiant, il est possible d'estimer la fonction de Green du milieu. Par le suivi continu de ces fonctions, des changements de vitesse dans le milieu peuvent être détectés. Les méthodes de suivi temporel sont appliquées aux données provenant d'une zone de faille active à Parkfield, Californie, ce qui permet de détecter deux chutes de vitesse. Ces dernières coïncident avec des évènements sismiques régionaux, la plus importante concernant un évènement proche des stations. Les deux chutes de vitesse sont suivies d'une récupération postsismique progressive. Pour mieux comprendre la fiabilité des mesures on a effectué des expériences en laboratoire. Un résultat intéressant de ces expériences montre que la reconstruction exacte de la fonction de Green n'est pas nécessaire pour le suivi temporel, ce qui ouvre la voie à de nombreuses possibilités d'applications en sismologie. Grâce à cette connaissance, la série de données de Parkfield a été ré-analysée. En améliorant la résolution temporelle à 1 journée, on montre que la chute de vitesse observée est cosismique avec le séisme de Parkfield. On a établi que les fluctuations de vitesse ne sont pas simplement corrélées aux variations de la distribution de sources du bruit obtenue par formation de voies. Enfin, les méthodes développées sont appliquées à un séisme au Japon. Le réseau étant de taille beaucoup plus grande que celui utilisé pour l'étude de Parkfield, ces données sont analysées pour étudier la dépendance entre la distance stations-séisme et la chute de vitesse mesurée. / The thesis concentrates on monitoring seismic speeds, especially in active fault zones. By correlating signals generated by background noise, one can estimate the Green's function of a medium. When continuously following these functions, wave speed changes in the medium can be detected. Monitoring methods are applied to data from an active fault zone in Parkfield, California, where two wave speed drops, which coincide with regional seismic events, are detected. The largest corresponds to an event close to the stations. Both speed drops are followed by a gradual postseismic relaxation. In order to understand the reliability of the measurements, we perform laboratory experiments. One interesting result of these experiments shows that an exact reconstruction of the Green's function is not necessary for monitoring, which opens up many possibilities of applications to seismology. Armed with this knowledge, the Parkfield data is analysed again. By improving the temporal resolution to 1 day, we show that the observed speed drop is coseismic with the Parkfield event. We establish that the speed fluctuations are not simply correlated to variations in noise source distribution obtained by beamforming. Finally, the developed methods are applied to an event in Japan. Since the array is spatially much larger than the one used at Parkfield, this data is analyzed to study the dependence between station-event distance and the measured seismic speed drop. STAR

The two variable Fitzhugh Nagumo model behaves qualitatively like the four variable Hodgkin-Huxley space clamped system and is more mathematically tractable than the Hodgkin Huxley model, thus allowing the action potential and other properties of the Hodgkin Huxley system to be more readily be visualized. In this thesis, it is shown that the Carleman Embedding Technique can be applied to both the Fitzhugh Nagumo model and to Van der Pol's model of nonlinear oscillation, which are both finite nonlinear systems of differential equations. The Carleman technique can thus be used to obtain approximate solutions of the Fitzhugh Nagumo model and to study neural activity such as excitability.

No description available.

Thesis (Ph. D.)--Ohio State University, 2006. / Title from first page of PDF file. Includes bibliographical references (p. 129-135).

This thesis focuses on theoretical study of charge transportproperties in molecular systems. The understanding of the transportprocess and mechanism in molecular systems is essential forthe design of new functional molecular materials and molecularelectronic devices. The molecular junctions and organic molecularcrystals have been used as the model systems to highlight the usefulnessof theoretical modelling. A molecular junction is a system that consists ofone or several molecules sandwiched between two electrodes.The charge transport in molecular junctions is a very complex processthat is affected by the interaction between molecules and electrodes,the surroundings, as well as electron-electron (e-e) andelectron-phonon (e-p) couplings. When the molecule-electrode couplingis strong, the transport process can be very quick. If the e-p couplingis weak, the inelastic tunneling has only negligible contributions to thetotal current and the elastic electron tunneling plays the dominant role.Furthermore, the hopping process becomes dominant in the case of strong e-pcoupling, for which the geometric relaxation of the molecule needsto be considered. In this thesis, we have examined these three kinds oftransport processes separately. The first studied system is a molecular junction consisting of aromaticallycoupled bimolecules. Its elastic electron tunneling property is simulatedusing Green's functional theory at density functional theory level.The dependence of the conductance of bimolecular junctions on the vertical distances,horizontal distances and the tilt angles has been systematically studied. Theinelastic electron tunneling spectra (IETS) of molecular junctions have beencalculated for several systems that were experimentally measured with conflictingresults and controversial assignments. Our calculations provide the reliableassignments for the experimental spectra and revealed unprecedented detailsabout the molecular conformations within the junctions under different conditions.It demonstrates that a combined theoretical and experimental IETS study is capableof accurately determining the structure of a single molecule inside the junction.The hopping process is a dominant charge transfer process in organic molecularcrystals. We have studied the charge transport ability of four kinds of n-typeorganic semiconductor materials to find out the related structure-to-propertyrelationship. It is done by adopting the quantum charge transfer rate equationcombined with the random walk approach. / QC 20120515

Photonics nowadays is one of the most rapidly developing areas of modern physics. Photonic chips are considered to be promising candidates for a new generation of high-performance systems for informational technology, as the photonic devices provide much higher information capacity in comparison to conventional electronics. They also offer the possibility of integration with electronic components to provide increased functionality. Photonics has also found numerous applications in various fields including signal processing, computing, sensing, printing, and others. Photonics, which traditionally covers lasing cavities, waveguides, and photonic crystals, is now expanding to new research directions such as plasmonics and nanophotonics. Plasmonic structures, namely nanoparticles, metallic and dielectric waveguides and gratings, possess unprecedented potential to guide and manipulate light at nanoscale. This Thesis presents the results of theoretical studies of light propagation in photonic and plasmonic structures, namely lasing disk microcavities, photonic crystals, metallic gratings and nanoparticle arrays. A special emphasis has been made on development of high-performance techniques for studies of photonic devices. The following papers are included: In the first two papers (Paper I and Paper II) we developed a novel scattering matrix technique for calculation of resonant states in 2D disk microcavities with the imperfect surface or/and inhomogeneous refraction index. The results demonstrate that the surface imperfections represent the crucial factor determining the $Q$ factor of the cavity. A generalization of the scattering-matrix technique to the quantum-mecha\-nical electron scattering has been made in Paper III. This has allowed us to treat a realistic potential of quantum-corrals (which can be considered as nanoscale analogues of optical cavities) and has provided a new insight and interpretation of the experimental observations. Papers IV and V present a novel effective Green's function technique for studying light propagation in photonic crystals. Using this technique we have analyzed surface modes and proposed several novel surface-state-based devices for lasing/sensing, waveguiding and light feeding applications. In Paper VI the propagation of light in nanorod arrays has been studied. We have demonstrated that the simple Maxwell Garnett effective-medium theory cannot properly describe the coupling and clustering effects of nanorods. We have demonstrated the possibility of using nanorod arrays as high-quality polarizers. In Paper VII we modeled the plasmon-enhanced absorption in polymeric solar cells. In order to excite a plasmon we utilized a grated aluminum substrate. The increased absorption has been verified experimentally and good agreement with our theoretical data has been achieved.

We construct bosonic and fermionic locally covariant quantum fields theories on curved backgrounds for large classes of fields. We investigate the quantum field and n-point functions induced by suitable states.

Hole-doped maganite with middle to narrow bandwidth La1-xCaxMnO3 was extensively studied because of its colossal magnetoresistance (CMR) characteristic under a magnetic field. These kind of materials show un- common magnetic and electric properties. The charge order phase only happens to the region x> 0.5, and along with decreasing temperature, its phase goes from para-insulator to charge-ordered then to antiferromagne- tism. In our studies, we apply correlation function of Green¡¦s function to LCMO and get susceptibility of charge and spin. Then we can get the cri- tical value of Coulomb repulsion inside the material by substituting the experimental values of phase transition temperature. This critical values is the key point of charge-ordered. Then we can also get the size of char- ge gap which decides the stability of charge-ordered phase. After know- ing the Coulomb repulsion and charge gap, we can picture the relation of inside and on-site Coulomb repulsion qualitatively while the transition happens. Here the on-site Coulomb repulsion means to the Hund¡¦s coupl- ing between d electrons. And by this we¡¦ll understand the physics inside CMR materials.

Recent theoretical and experimental studies have demonstrated that an estimate of the Green's function between two hydrophones can be extracted passively from the cross‐correlation of ambient noise recorded at these two points. Hence monitoring the temporal evolution of these estimated Green's functions can provide a means for noise‐based acoustic tomography using a distributed sensor network. However, obtaining unbiased Green's function estimate requires a sufficiently spatially and temporally diffuse ambient noise field. Broadband ambient noise ([200 Hz-20 kHz]) was recorded continuously for 2 days during the SWAMSI09 experiment (next to Panama City, FL) using two moored vertical line arrays (VLAs) spanning 7.5m of the 20‐m water column and separated by 150 m. The feasibility of noise‐based acoustic tomography ([300-1000 Hz]) was assessed in this dynamic coastal environment over the whole recording period. Furthermore, coherent array processing of the computed ocean noise cross‐correlations between all pairwise combinations of hydrophones was used to separate acoustic variations between the VLAs caused by genuine environmental fluctuations-such as internal waves-from the apparent variations in the same coherent arrivals caused when the ambient noise field becomes strongly directional, e.g., due to an isolated ship passing in the vicinity of the VLAs.