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A novel fabrication process is presented which allows for three-dimensionally independent features to be etched in silicon using SF6 gas in a deep reactive ion etcher (DRIE) after a single etch step. The mechanism allowing for different feature depths and widths to be produced over a wafer is reactive ion etch lag, where etch rate scales with the exposed feature size in the mask. A modified Langmuir model has been developed relating the geometry of the exposed areas in a specific mask pattern as well as the etch duration to the final depth and width of a channel that is produced after isotropic silicon etching. This fabrication process is tailored for microfluidic network design, but the capabilities of the process can be applied elsewhere. A characterization of an Alcatel DRIE tool is also presented in order to enhance RIE lag by varying etch process parameters, increasing the variety of channel sizes that can be fabricated. High values of flow rate, coil power, and pressure were found to produce this effect. The capability of the modeled process for creating a microchip cooling device for high-heat flux applications was also investigated. Using meander channels, heat flux in excess of 100W/cm2 were cooled using 750µL/s flow rate of water through the chip. This single-mask process reduces risk of damage to the chip and provides the capability to cool high-heat-flux microprocessors for the next 10 years, and for an even longer time once the geometry of the channels is optimized. / Master of Science

Submitted by Marlene Santos (marlene.bc.ufg@gmail.com) on 2016-08-04T19:38:03Z No. of bitstreams: 2 Mestrado - Edwin Oswaldo Salinas Reyes - 2016.pdf: 1254340 bytes, checksum: f20230521814efa37f16e24f8d80f74e (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2016-08-05T12:33:56Z (GMT) No. of bitstreams: 2 Mestrado - Edwin Oswaldo Salinas Reyes - 2016.pdf: 1254340 bytes, checksum: f20230521814efa37f16e24f8d80f74e (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2016-08-05T12:33:56Z (GMT). No. of bitstreams: 2 Mestrado - Edwin Oswaldo Salinas Reyes - 2016.pdf: 1254340 bytes, checksum: f20230521814efa37f16e24f8d80f74e (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2016-02-29 / Conselho Nacional de Pesquisa e Desenvolvimento Científico e Tecnológico - CNPq / In this work we refer to the study of a new method and simple approach to minimal surface Laguerre in isotropic model of Laguerre geometry as the bi-harmonic function graph. We developed the isotropic geometry which studies the geometric properties invariant under certain affine transformations in Euclidean space, and the fundamental elements of Laguerre geometry which are spheres orienteds and plans orienteds, and properties which are invariant on the transformation of Laguerre. In addition, we will show a close relationship between minimal surfaces Laguerre spherical type and isotropic minimal surfaces which are given by the graph of harmonic functions and minimal Euclidean surfaces. Finally, the duality metric in the isotropic space is used to develop an isotropic exchange for minimal surfaces Laguerre in certain Lie transformation of Laguerre minimal surfaces in Euclidean space. / Neste trabalho nos referimos ao estudo de um novo método de desenvolvimento de superfícies mínimas de Laguerre vista no modelo isotrópico da geometria de Laguerre como o gráfico de funções bi-harmônicas. Desenvolvemos a geometria isotrópica a qual estuda as propriedades geométricas invariantes por certas transformações afines no espaço Euclidiano, os elementos fundamentais da geometria de Laguerre as quais são esferas e planos orientados e as propriedades as quais são invariantes sobre as transformações de Laguerre. Além disso, mostraremos uma relação fechada entre superfícies mínimas de Laguerre do tipo esférico e superfícies mínimas isotrópicas as quais são dadas pelo gráfico de funções harmônicas e superfícies mínimas Euclidianas. Finalmente, a métrica dual no espaço isotrópico é utilizada para desenvolver uma contrapartida isotrópica de superfícies mínimas de Laguerre em certas transformações de Lie de superfícies mínimas de Laguerre no espaço Euclidiano.

Com uma mistura de laurato de potássio, decanol e agua, determina-se a birrefringência induzida, na fase isotrópica, por gradientes de velocidade, no interior da amostra. Os movimentos são provocados através de vibrações periódicas nas paredes do porta amostras. O tempo de relaxação, da estrutura de rolos, e determinado experimental e teoricamente. É determinado, também, o parâmetro T AST (temperatura em torno da temperatura de transição), ate então desconhecido, em cristais líquidos liotrópicos. Como uma provável aplicação pratica, e proposta a confecção de dispositivos sensíveis a vibrações. / With a mixture of the Potassium Laurate, Decanol and water, the birefringence induced by gradient of the velocity, in the isotropic phase, is determinated. The movement are provocated through periodic vibrations of the superface of the sample holder. The relaxation time of the roll structure is determinated experimental an theorically. The temperature T* (temperature around the transition temperature), well-known in thermotropic liquid crystals, is determinated in liotropic liquid crystals. The confection of the sensible vibration dispositive is proposed.

Com uma mistura de laurato de potássio, decanol e agua, determina-se a birrefringência induzida, na fase isotrópica, por gradientes de velocidade, no interior da amostra. Os movimentos são provocados através de vibrações periódicas nas paredes do porta amostras. O tempo de relaxação, da estrutura de rolos, e determinado experimental e teoricamente. É determinado, também, o parâmetro T AST (temperatura em torno da temperatura de transição), ate então desconhecido, em cristais líquidos liotrópicos. Como uma provável aplicação pratica, e proposta a confecção de dispositivos sensíveis a vibrações. / With a mixture of the Potassium Laurate, Decanol and water, the birefringence induced by gradient of the velocity, in the isotropic phase, is determinated. The movement are provocated through periodic vibrations of the superface of the sample holder. The relaxation time of the roll structure is determinated experimental an theorically. The temperature T* (temperature around the transition temperature), well-known in thermotropic liquid crystals, is determinated in liotropic liquid crystals. The confection of the sensible vibration dispositive is proposed.

Stereology supplies image sampling rules to estimate geometric quantities such as volume, surface area, feature length and number. The method is well suited to non-invasive image acquisition methods such as Magnetic Resonance Imaging (MRI). Meanwhile, in Magnetic Resonance (MR) images analysis area, automated software packages have been continuously developed and become well-established tools especially in human brainMR images processing. The aims of the thesis are (1) to combine proper rules to sample MR images with automated or semi-automated data acquisition methods, in order to implement four different design unbiased stereological volume estimators in the study of the human brain, and (2) to compare volume estimates with those obtained from automated software packages.

This work is devoted to the numerical analysis of saturated porous media, taking into account the damage phenomenon on the solid skeleton. The porous media is taken into poroelastic framework, in full-saturated condition, based on the Biot\'s Theory. A scalar damage model is assumed for this analysis. An implicit Boundary Element Method (BEM) formulation, based on time-independent fundamental solutions, is developed and implemented to couple the fluid flow and the elasto-damage problems. The integration over boundary elements is evaluated by using a numerical Gauss procedure. A semi-analytical scheme for the case of triangular domain cells is followed to carry out the relevant domain integrals. The non-linear system is solved by a Newton-Raphson procedure. Numerical examples are presented, in order to validate the implemented formulation and to illustrate its efficiency. / Este trabalho trata da análise numérica de meios porosos saturados, considerando danificação na matriz sólida. O meio poroso é admitido em regime poroelástico, em condição saturada, com base na teoria de Biot. Um modelo de dano escalar é empregado nesta análise. Uma formulação implícita do Método dos Elementos de Contorno (MEC), baseada em soluções fundamentais independentes do tempo, é desenvolvida e implementada de forma a acoplar os problemas de difusão de fluido e de elasto-dano. A integração sobre os elementos de contorno é feita através da quadratura de Gauss. Um esquema semi-analítico é aplicado sobre células triangulares para avaliar as integrais de domínio do problema. A solução do sistema não linear é obtida através de um procedimento do tipo Newton-Raphson. Apresentam-se exemplos numéricos a fim de validar a formulação implementada e demonstrar sua eficiência.

We investigate the energy levels of a particle confined in the isotropic oscillator potential with a magnetic and spatially varying electric field. Here we are able to exactly solve the Schrodinger equation, using matrix methods, for the first excited states. To this end we find that the spatial gradient of the electric field acts as a magnetic field in certain circumstances. Here we present the changes in the energy levels as functions of the electric field, and other parameters.

Today the multisensor array signal processing of noisy measurements has received much attention. The classical problem in array signal processing is determining the location of an energy-radiating source relative to the location of the array, in other words, direction-of-arrival (DOA) estimation. One is considering the signal estimation problem when together with the signal(s) of interest some noise and interfering signals are present. In this report a direction-of-arrival estimation system is described based on an antenna array for detecting arrival angles in azimuth plane of signals pitched by the antenna array. For this, the Multiple Signal Classication (MUSIC) algorithmis first of all considered. Studies show that in spite of its good reputation and popularity among researches, it has a certain limit of its performance. In this subspace-based method for DOA estimation of signal wavefronts, the term corresponding to additive noise is initially assumed spatially white. In our paper, we address the problem of DOA estimation of multiple target signals in a particular noise situation - in correlated spherically isotropic noise, which, in many practical cases, models a more real context than under the white noise assumption. The purpose of this work is to analyze the behaviour of the MUSIC algorithm and compare its performance with some other algorithms (such as the Capon and the Classical algorithms) and, uppermost, to explore the quality of the detected angles in terms of precision depending on different parameters, e.g. number of samples, noise variance, number of incoming signals. Some modifications of the algorithms are also done is order to increase their performance. Program MATLAB is used to conduct the studies. The simulation results on the considered antenna array system indicate that in complex conditions the algorithms in question (and first of all, the MUSIC algorithm) are unable to automatically detect and localize the DOA signals with high accuracy. Other algorithms andways for simplification the problem (for example, procedure of denoising) exist and may provide more precision but require more computation time.

La técnica de las ondas de Lamb acopladas por aire representa un importante avance en el área de los Ensayos No Destructivos (END) de materiales laminares.Sin embargo la compleja naturaleza de las vibraciones mecánicas encontradas en acústica, hacen que el análisis y el estudio de esta área del conocimiento sea un tema muy complejo. De allí que la posibilidad de contar con una herramienta de simulación de software que permita la evaluación y prueba de diferentes configuraciones de excitación y recepción acústica utilizando la flexibilidad de un modelo de computadora sea de una gran utilidad y ayuda.El objetivo de la presente tesis es proveer al área de los END con un software de simulación gratuito: The LAMB Matlab® toolbox basado en el modelo del software libre de la GNU.El software es capaz de simular el comportamiento de sistemas de END basados en ondas de Lamb acopladas por aire en láminas isótropas simples utilizando transductores tipo array.El programa se basa en un arreglo tipo C-scan de un sistema de END y está compuesto por tres bloques principales: 1) Excitación, 2) Propagación y 3) Recepción.La verificación individual del funcionamiento de dichos módulos se presenta a lo largo de la tesis mediante una serie de comparaciones entre simulaciones y datos experimentales provenientes de diferentes pruebas. Por otro lado, la validación del programa completo se llevo a cabo por medio de experimentos en láminas de cobre y aluminio; utilizando un sistema real de END por ondas de Lamb acopladas en aire mediante arrays cóncavos.La influencia negativa en el desempeño general de dicho sistema de END real basado en este tipo de transductores se comprobó efectivamente mediante el simulador desarrollado. Esto se debió fundamentalmente al efecto de directividad de los sensores individuales en los transductores y a la simetría cóncava de los arrays.Para emular este comportamiento la tesis presenta un modelo geométrico bidimensional simple de un filtro espacial, junto a las simulaciones de un nuevo tipo de array plano propuesto.El programa desarrollado comprobó así mismo la naturaleza coherente de los campos acústicos emitidos en aire por las láminas sujetas a vibraciones de Lamb. Esto se realizó mediante la implementación de un conformador de haz simple de suma y demora; constituyéndose así la etapa inicial de procesamiento de señal del bloque de recepción del programa.El objetivo principal del presente trabajo fue contribuir con un modelo operativo de simulación y prueba de nuevos diseños de arrays e implementación de estrategias de procesado de señal útiles en sistemas de END basados en ondas de Lamb acopladas por aire.Finalmente, si bien el objetivo de la calibración del programa no se pudo conseguir; si se logró efectivamente un notable grado de similitud con un sistema de END real. / Air-coupled ultrasonic Lamb waves represent an important advance in Non- Destructive Testing and Evaluation (NDT & NDE) techniques of plate materials and structures. Examples of these advances are the characterization and quality assessment of laminate materials in manufacturing processes, the location of damaged parts in aircrafts and structure monitoring in the aerospace industry.However the rich and complex nature of mechanical vibrations encountered in acoustics make the subject of analysis and study of these systems a very complex task. Therefore a simulation tool that permits the evaluation and testing of different configuration scenarios using the flexibility of a computer model is an invaluable aid and advantage.The objective of this thesis is to provide the field of NDT with free open source software i.e. the LAMB Matlabrtoolbox. The toolbox is capable of simulating the behaviour of Lamb wave based NDE systems for single ideal isotropic laminates using air-coupled ultrasonic arrays. The programme usesa pitch-catch type of a Cscan NDE arrangement and is composed of three integrated sections each individually modelling a feature in the system: 1) Excitation, 2) Propagation, and 3) Reception.For assessment of the individual modules of the toolbox the thesis presents comparisons between each section simulations and the data obtained from different acoustic experiments. The validation of the complete simulator was carried out by evaluation tests on the copper and aluminium plates by use of a real hardware prototype of a Lamb wave based NDE system with aircoupled concave arrays.The negative impact on the performance of the real air-coupled NDE systembased on concave arrays was effectively confirmed by the programme. This was produced by the inherent directivity of the individual sensors as well as their concave arrangement. To emulate this behaviour the thesis introduces a simple two-dimensional geometric model for the inclusion of the spatial filtering effect of the sensors plus a group of simulations for a new proposed air-coupled plane array transducer.The software also verified the spatial coherent nature of the Lamb wave fields emitted by a plate in air. This was demonstrated by the implementation of a delay and sum beamformer to constitute an initial signal processing stage in the reception section.