Os equipamentos de imagens por ultrassom com varredura eletrônica usam transdutores que não se moldam à superfície a ser examinada, pois são rígidos. Há transdutores com curvaturas fixas para aplicações específicas. Em aplicações médicas, esse não é um problema na maioria dos casos, pois os tecidos do corpo humano tomam a forma da face do transdutor. Isso não ocorre quando há estruturas ósseas próximas às camadas externas de tecidos moles. Nas aplicações industriais as superfícies são sólidas e, portanto, não se ajustam à superfície do transdutor, sendo necessário uma camada variável de acoplamento acústico. A possibilidade de uso de um transdutor flexível exige que sua curvatura seja conhecida para o direcionamento correto do feixe acústico usado na formação de imagens. Assim sendo, um transdutor multielemento flexível apresentaria a vantagem de poder ser acoplado na superfície curva diretamente, tanto em aplicações médicas quanto industriais. Os transdutores flexíveis relatados na literatura científica não são compactos e dispõe de complicados sistemas de sensoriamento usados na determinação de curvaturas, além de demandar por sofisticados sistemas de aquisição e processamento dos sinais. Este trabalho propõe o desenvolvimento de transdutores multielementos flexíveis compactos para serem acoplados diretamente em superfícies curvas de peças mecânicas ou do corpo humano. Neste trabalho os sensores de curvatura responsáveis pela medição da curvatura foram desenvolvidos segundo os princípios básicos de extensômetria e resistência dos materiais para serem embebidos nas camadas do transdutor flexível de ultrassom. No desenvolvimento, foram fabricadas quatro versões de transdutores, com frequências de 1 e 2,25MHz. Todos os materiais usados na fabricação dos protótipos foram especificados segundo suas propriedades mecânicas e acústicas. Os protótipos fabricados foram caracterizados tendo sido medidas a largura de banda de cada elemento do transdutor, o comprimento e a duração dos pulsos, e uma medida da resolução axial. Para o protótipo de 2,25MHz, uma medida estimada da resolução lateral foi feita pela simulação do campo acústico, considerando o transdutor curvado em uma superfície cilíndrica. Para se testar o desempenho dos protótipos, foram realizados diferentes testes de formação de imagem. A versão de transdutor flexível de 1MHz e sem sensor de curvatura foi curvado sobre um cilindro e imerso em um tanque com água para a realização de testes de formação de imagem usado na detecção de objetos e obstáculos. Para as versões de transdutores médicos com sensor de curvatura, construiu-se duas versões de phantom simulando uma interface óssea cortical densa dentro de um tecido mole humano. O phantom usado para testar o protótipo de 2,25MHz foi concebido por uma amostra de tíbia bovina fraturada embebida dentro de um material com propriedades acústicas muito próximas a da água. Os testes de imagem foram realizados com o transdutor de 2,25MHz curvado sobre a superfície cilíndrica do phantom. As imagens de ultrassom das regiões fraturadas do osso foram detectadas, e uma comparação entre as técnicas de varredura setorial e STA usadas na obtenção das imagens foram feitas. Mostrou-se que é possível fabricar, de uma forma simples, transdutores multielementos flexíveis mais compactos e dotados de sensor de curvatura, e sem a necessidade de se usar tecnologias sofisticadas e caras ou de se valer de sistemas complexos de formação e processamento de sinais. As imagens obtidas pelos protótipos mostraram que os protótipos podem ser usados em diferentes aplicações NDT na indústria. Em especial, o protótipo de 2,25MHz mostrou ainda que tem potencial no uso médico para a obtenção de imagens de fraturas em contornos ósseos mais densos. / Ultrasound image equipment with electronic scanning considers that transducers cannot take the shape of the surface to be examined because they are rigid. There are transducers with fixed curvatures for specific applications. In medical applications, this is not a serious problem in most cases, since the face of the transducer can be coupled to the soft tissues of the body. This does not occur when there are bone structures close to the external layers of soft tissue. In industrial applications, the surfaces are solid and therefore do not fit to the transducer surface, where a variable layer of acoustic coupling is necessary. The possibility of using a flexible transducer requires its curvature to be known in order to the correct the direction of the acoustic beam which will be used in imaging applications. Thus, a flexible array transducer would have the advantage of being directly coupled to the curved surface in medical and in industrial applications. Flexible ultrasound transducers reported in the scientific literature are not compact, having complex sensing systems used to determine curvature; furthermore, they require sophisticated signal acquisition and processing systems. The development of flexible compact ultrasound linear array transducers to be coupled directly onto curved surfaces of mechanical parts as well of the human body is proposed here. The bend sensors responsible for measuring the curvature were developed according to the basic principles of strain gauge in extensometry and strength of materials to be embedded in the layers of the flexible ultrasound transducer. During this development, four versions of transducers were manufactured, with frequencies of 1 and 2.25MHz. All the materials used in the prototypes manufacturing were selected based on their mechanical and acoustic properties. The manufactured prototypes were characterized in terms of measured parameters, such as the bandwidth of each transducer element, the length and duration of the pulses, and a measure of axial resolution. For the 2.25MHz prototype, the value of the lateral resolution was estimated by simulating the acoustic field considering the transducer curved over a cylindrical surface. In order to test the transducer prototypes, different ultrasound imaging tests were conducted. The 1MHz flexible transducer version without curvature sensor was bent over a cylinder and immersed in a water tank for performing image formation tests used to detect objects and obstacles. For the medical transducers version with curvature sensor, two versions of phantoms were constructed simulating a dense cortical bone interface located inside the soft human tissue. The phantom applied to test the 2.25 MHz prototype consists of a fractured sample of bovine tibia which was embedded within a material having acoustic properties very close to that of the water. Ultrasound imaging tests were performed with the 2.25MHz transducer curved over the cylindrical surface of the phantom. The regions of the fractured bone were detected in the ultrasound images, and a comparison between the STA and sector scanning techniques used for obtaining the images was made. The study showed that it is possible to manufacture flexible and more compact array transducers provided with curvature sensor, without the need of using sophisticated and expensive technologies or taking advantage of complex formation and signal processing systems. The images obtained by the prototypes showed that they can be employed in different NDT applications in the industry. Particularly, the 2.25MHz prototype also showed its potential for medical imaging fractures in dense bone contours.

Orientador: Alberto Vazquez Saa / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matemática, Estatística e Computação Científica / Made available in DSpace on 2018-08-20T03:54:09Z (GMT). No. of bitstreams: 1 Leal_Isabel_M.pdf: 984828 bytes, checksum: b0a33558ae8b5683163892248364a85b (MD5) Previous issue date: 2012 / Resumo: Nesta dissertação, fazemos uma revisão da literatura existente sobre vórtices em superfícies de curvatura constante, dando especial atenção às questões de integrabilidade e não integrabilidade. Além disso, apresentamos alguns resultados originais sobre o movimento de vórtices no plano hiperbólico que indicam um possível caminho para demonstrar a não integrabilidade de um sistema de quatro vórtices nessa superfície / Abstract: In this thesis, we review the existing literature on vortices on surfaces of constant curvature, giving special attention to the issues of integrability and non-integrability. In addition, we present some original results on the motion of vortices on the hyperbolic plane that indicate a possible way to demonstrate the non-integrability of a system of four vortices on that surface / Mestrado / Matematica / Mestre em Matemática

Conventional interferometry is widely used to measure spherical and flat surfaces with nanometer level precision but is plagued by back reflections. We describe a new method of isolating the measurement surface by controlling spectral properties of the source (Spectrally Controlled Interferometry - SCI). Using spectral modulation of the interferometer's source enables formation of localized fringes where the optical path difference is non-zero. As a consequence it becomes possible to form white-light like fringes in common path interferometers, such as the Fizeau. The proposed setup does not require mechanical phase shifting, resulting in simpler instruments and the ability to upgrade existing interferometers. Furthermore, it allows absolute measurement of distance, including radius of curvature of lenses in a single setup with possibility of improving the throughput and removing some modes of failure.

Cette thèse est consacrée à l'étude d'une famille des flots géométriques associés au problème de la courbure scalaire prescrite sur une variété riemannienne compacte. Plus précisément, si on désigne par (M,g0) une variété riemannienne compacte de dimension n≥3, et si F∈C∞ (M) est une fonction donnée, le problème de la courbure scalaire prescrite consiste à trouver une métrique g conforme à g0 telle que F soit sa courbure scalaire. Ce problème est équivalent à la résolution de l'EDP suivante :-4 (n-1)/(n-2) ∆u+R0 u=Fu((n+2)/(n-2 )) , u>0 , (E), Où R0 est la courbure scalaire de la métrique initiale g0 et ∆ est le laplacien associé à g0. Il s'agit d'une équation elliptique non-linéaire dont la difficulté principale provient du terme u((n+2)/(n-2 )). Hormis le cas de la sphère standard Sn , tous les travaux consacrés à l'étude de l'équation (E) sont basés sur la méthode variationnelle. Dans cette thèse, on développe une autre approche basée sur l'étude d'une famille de flots géométriques qui permet, entre autres, de résoudre l'équation (E). La question dépend bien entendu de la métrique initiale g0 et en particulier du signe de sa courbure scalaire R0. Les flots introduits sont des flots de gradient associés à deux fonctionnelles distinctes dépendant du signe de R0. La première partie de cette thèse est consacrée au cas R0<0 et dans la deuxième partie on traite le cas R0>0. Dans les deux cas, on démontre l'existence globale du flot et on étudie son comportement asymptotique à l'infini. / This thesis is devoted to the study of a family of geometric flows associated with the prescribed scalar curvature problem. More precisely, if we denote by (M,g0) a compact riemannian manifold with dimension n≥3, and if F∈C∞ (M) is a given function, the prescribed scalar curvature problem consists of finding a conformal metric g to g0 such that F is its scalar curvature. This problem is equivalent to the resolution of the following PDE : -4 (n-1)/(n-2) ∆u+R0 u=Fu((n+2)/(n-2 )) , u>0 , (E), Where R0 is the scalar curvature of the initial metric g0 and ∆ is the laplacian associated with g0.It is a nonlinear elliptic equation, whose the main difficulty comes from the term u((n+2)/(n-2 )). Apart from the case of the standard sphere Sn all the works that study the equation (E) are based on the variational method. In this thesis, we develop another approach based on the study of a family of geometric flows which allows to solve equation (E).The flows introduced are gradient flows associated with two distinct functional functions depending on the sign of R0.The first part of this thesis is devoted to the case R0<0 and in the second part we treat the case R0>0. In both cases, our aim is to proof the global existence of the flow and study its asymptotic behavior at infinity.

Cette Thèse de Doctorat est dédiée à la simulation numérique des détonations, et plus particulièrement aux détonations confinées par un gaz inerte. Cette configuration correspond en partie à l’écoulement rencontré au sein des moteurs à détonations rotatives, dans lesquels le combustible est confiné par les gaz brûlés issus du cycle précédent. Le code de calcul employé s’appuie sur des schémas numériques d’ordre élevé adaptés à la capture des discontinuités (interpolation MP d’ordre 9, solveur HLLC et intégration temporelle d’ordre3). Une attention particulière a été portée à la caractérisation de l’écoulement au travers de son évolution moyenne dans le repère de la détonation. Les simulations ont été réalisées pour différentes valeurs de l’énergie d’activation, qui traduit la sensibilité du milieu réactif,pour des couches réactives de dimensions variées et enfin pour des confinements inertes à différentes températures. La base de données résultante démontre l’existence de deux comportements distincts suivant l’énergie d’activation du milieu réactif. Le déficit de la célérité de la détonation peut être globalement appréhendé comme fonction du ratio de l’épaisseur hydrodynamique par le rayon de courbure sur l’axe. Enfin, la présence d’une couche inerte à haute température modifie de façon importante la topologie de la détonation et en étend les limites de propagation. / This dissertation is devoted to the numerical study of detonation waves, and more specifically to the dynamics of detonations bounded by an inert gaseous layer. This configuration is similar to the flow field within the rotating detonation engines, in which the fuel is confined by the burned gases produced during the previous combustion cycle. The computational solver is based on high-order schemes designed for capturing discontinuities (9thorder MP interpolation, HLLC solver and 3rd order temporal integration). The detonation was investigated by calculating the averaged profile in the shock frame of reference. The simulations were performed for various values of the activation energy, which control the mixture sensitivity, for different heights of the reactive layer and for different temperature of the inert medium. The resulting database shows that according to the activation energy, two different behaviors can be observed. The presence of a high-temperature inert layer strongly affects the detonation structure and extends the propagation limits. The detonation deficit can be globally expressed as a function of the ratio of the hydrodynamic thickness to the radius of curvature on the axis.

Kyoto University (京都大学) / 0048 / 新制・課程博士 / 博士(工学) / 甲第17106号 / 工博第3617号 / 新制||工||1549(附属図書館) / 29836 / 京都大学大学院工学研究科社会基盤工学専攻 / (主査)教授 杉浦 邦征, 教授 白土 博通, 教授 河野 広隆 / 学位規則第4条第1項該当

Contorted polycyclic aromatic hydrocarbons have found increasing utility in the application of molecular electronics due to the surpamolecular properties that result from these non-planar structures. The [n]circulene series of molecules are particularly attractive members of the contorted aromatic family due to the unique structural implications that result from their changing value of n. For example, when n ≤ 5, the structures adopt a bowl-like shape; when n = 6, a planar structure is observed; and when 7 ≤ n ≤ 16, the compounds assume a saddle-like shape. Very few molecules exhibit the structural contortions that these contorted aromatics do – primarily because aromatic molecules desire to adopt highly planar conformations. Following the model of aromaticity developed by Erich Clar, we set our sights on the synthesis of tetrabenzo[8]circulene, the stabilized form of [8]circulene established through the addition of four fused benzenoid rings around the periphery of the molecule. The initial approach towards this structure employs a Diels-Alder [4 + 2] cycloaddition reaction and a palladium catalyzed arylation reaction as the key transformation steps. The results of these studies were promising, establishing the structural characterization of this new molecule and providing access to functionalized derivatives of the saddle-shaped structure. However, access towards these functionalized derivatives proved limiting, compelling us to investigate alternative synthetic methodologies. In the course of our studies, we established a new methodology towards 2,5-diarylthiophene-1-oxides, a key precursor to the Diels-Alder cycloaddition reaction. These reactive dienes are prepared from readily available arylacetylene precursors via zirconacyclopentadiene intermediates. The isolated yields of the desired thiophene-1-oxides are comparable to those obtained from previously established oxidation strategies while avoiding the formation of over-oxidation products. Of significant importance to scope of our work, this newly established methodology offers broader versatility providing products outfitted with electron-donating or electron-withdrawing groups. These new methodologies provided access to functionalized derivatives of the saddle-shaped molecule tetrabenzo[8]circulene in improved yield when coupled with a revised Diels-Alder/oxidative cyclodehydrogenation approach. This methodology affords products containing both electron-rich and electron-poor functional groups in a more efficient manner. The optoelectronic effects that result from the introduction of this functionality and investigations into the development of larger contorted aromatic systems are also discussed.

Ces deux dernières décennies, les techniques de somme connexe essentiellement basées sur des outils d'analyse ont permis de faire des progrès importants dans la compréhension de nombreux problèmes non linéaires issus de la géométrie (étude des métriques à courbure scalaire constante en géométrie Riemannienne, métriques auto-duales, métrique ayant des groupes d'holonomie spéciaux, métriques extrémales en géométrie Kaehlerienne, équations de Yang-Mills, étude des surfaces minimales et des surfaces à courbure moyenne constante, métriques d'Einstein, etc.). Ces techniques se sont avérées être un outil puissant pour démontrer l'existence de solutions à des problèmes hautement non linéaires. Si les techniques permettant d'effectuer des sommes connexes en des points isolés sont bien comprises et fréquemment utilisées, les techniques permettant d'effectuer des sommes connexes le long de sous-variétés ne sont pas encore bien maîtrisées. Le principal objectif de cette thèse est de combler (partiellement) cette lacune en développant de telles techniques applicables dans le cadre de l'étude des métriques à courbure scalaire constante et aussi dans le cadre de l'étude des équations de comptabilité d'Einstein en relativité générale / These last two decades the connected sum techniques, essentially based on analytical tools, are revealed to be a powerful instrument to understand solutions of several nonlinear problem issued from the geometry (constant scalar curvature metrics in Riemannian geometry, self-dual metrics, metrics with special holonomy group, extremal Kaehler metrics, Yang-Mills equations, minimal and constant mean curvature surfaces, Einstein metrics, etc.). Even tough the techniques which allows one to consider the connected sum at points for solutions of nonlinear PDE's are frequently used and deeply understood, the analogous techniques for connected sums along sub-manifolds have not been mastered yet. The main purpose of this thesis is to (partially) plug this gap by developing such techniques in the context of the constant scalar curvature metrics and the Einstein constraint equations in general relativity

Master of Science / Department of Geology / Abdelmoneam Raef / Matthew W. Totten / This work focuses on the use of advanced seismically driven technologies to estimate the distribution of key reservoir properties which mainly includes porosity and hydrocarbon reservoir pay. These reservoir properties were estimated by using a multitude of seismic attributes derived from post-stack high resolution inversions, spectral imaging and volumetric curvature. A pay model of the reservoir in the Wierman field in Ness County, Kansas is proposed. The proposed geological model is validated based on comparison with findings of one blind well. The model will be useful in determining future drilling prospects, which should improve the drilling success over previous efforts, which resulted in only few of the 14 wells in the area being productive. The rock properties that were modeled were porosity and Gamma ray. Water saturation and permeability were considered, but the data needed were not available. Sequential geological modeling approach uses multiple seismic attributes as a building block to estimate in a sequential manner dependent petrophysical properties such as gamma ray, and porosity. The sequential modelling first determines the reservoir property that has the ability to be the primary property controlling most of the other subsequent reservoir properties. In this study, the gamma ray was chosen as the primary reservoir property. Hence, the first geologic model built using neural networks was a volume of gamma ray constrained by all the available seismic attributes. The geological modeling included post-stack seismic data and the five wells with available well logs. The post-stack seismic data was enhanced by spectral whitening to gain as much resolution as possible. Volumetric curvature was then calculated to determine where major faults were located. Several inversions for acoustic impedance were then applied to the post-stack seismic data to gain as much information as possible about the acoustic impedance. Spectral attributes were also extracted from the post-stack seismic data. After the most appropriate gamma ray and porosity models were chosen, pay zone maps were constructed, which were based on the overlap of a certain range of gamma ray values with a certain range of porosity values. These pay zone maps coupled with the porosity and gamma ray models explain the performance of previously drilled wells.

The thesis studies homogenization of Dirichlet boundary value problems for divergence type elliptic operators, and the associated boundary layer issues. This type of problems for operators with periodically oscillating coeffcients, and fixed boundary data are by now a classical topic largely due to the celebrated work by Avellaneda and Lin from late 80's. The case when the operator and the Dirichlet boundary data exhibit periodic oscillations simultaneously was a longstanding open problem, and a progress in this direction has been achieved only very recently, in 2012, by Gerard-Varet and Masmoudi who proved a homogenization result for the simultaneously oscillating case with an algebraic rate of convergence in L2. Aimed at understanding the homogenization process of oscillating boundary data, in the first part of the thesis we introduce and develop Fourier-analytic ideas into the study of homogenization of Dirichlet boundary value problems for elliptic operators in divergence form. In smooth and bounded domains, for fixed operator and periodically oscillating boundary data we prove pointwise, as well as Lp convergence results the homogenization problem. We then investigate the optimality (sharpness) of our Lp upper bounds. Next, for the above mentioned simultaneously oscillating problem studied by Gerard-Varet and Masmoudi, we establish optimal Lp bounds for homogenization in some class of operators. For domains with non smooth boundary, we study similar boundary value homogenization problems for scalar equations set in convex polygonal domains. In the vein of smooth boundaries, here as well for problems with fixed operator and oscillating Dirichlet data we prove pointwise, and Lp convergence results, and study the optimality of our Lp bounds. Although the statements are somewhat similar with the smooth setting, challenges for this case are completely different due to a radical change in the geometry of the domain. The second part of the work is concerned with the analysis of boundary layers arising in periodic homogenization. A key difficulty toward the homogenization of Dirichlet problem for elliptic systems in divergence form with periodically oscillating coefficients and boundary condition lies in identification of the limiting Dirichlet data corresponding to the effective problem. This question has been addressed in the aforementioned work by Gerard-Varet and Masmoudi on the way of proving their main homogenization result. Despite the progress in this direction, some very basic questions remain unanswered, for instance the regularity of this effective data on the boundary. This issue is directly linked with the up to the boundary regularity of homogenized solutions, but perhaps more importantly has a potential to cast light on the homogenization process. We initiate the study of this regularity problem, and prove certain Lipschitz continuity result. The work also comprises a study on asymptotic behaviour of solutions to boundary layer systems set in halfspaces. By a new construction we show that depending on the normal direction of the hyperplane, convergence of the solutions toward their tails far away from the boundaries can be arbitrarily slow. This last result, combined with the previous studies gives an almost complete picture of the situation.