[pt] As fibras ópticas são suscetíveis ao estresse mecânico e podem ser danificadas ou quebradas, portanto, a supervisão da camada física é essencial para identificar essas falhas e remediá-las o mais rápido possível. Com o objetivo de agilizar e simplificar o processo de agendamento de unidades de reparo em campo, foi desenvolvido um sistema automatizado de medição de fibras baseado em uma unidade de processamento digital de sinal (DSP) capaz de identificar as posições das falhas de forma autônoma. Combinando esta unidade de DSP com um OTDR de contagem de fótons, é possível criar tal dispositivo. Este trabalho apresenta o desenvolvimento dos blocos de construção para tal dispositivo. / [en] Optical fibers are susceptible to mechanical stress and may be damaged or broken, thus physical layer supervision is essential to identify these failures and remediate them as quickly as possible. In order to hasten and simplify the scheduling process of the in-field repairing units, an automated fiber measurement system based on a digital signal processing (DSP) unit capable of autonomously identifying fault positions was developed. By combining this DSP unit with a Tunable Photon-Counting OTDR, it is possible to create such a device. This work presents the development of the building blocks for such device.

This dissertation evaluates the possibility of wireless power transfer (WPT) systems for space applications, with an emphasis in launch vehicles (rockets). After performing literature review for WPT systems, it was identified that magnetic resonance provides the more suited set of characteristics for this application. Advanced analysis, simulation and testing were performed to magnetic resonance WPT systems to acquire system performance insight. This was accomplished by evaluating/varying coupling configuration, load effects and magnetic element physical characteristics (i.e. wire material, loop radius, etc.). It was identified by analysis, circuit simulation and testing that the best coupling configuration for this application was series-series and series-shunt with Litz wire loop inductors. The main concern identified for the implementation of these systems for space applications was radiated emissions that could potentially generate electromagnetic interference (EMI). To address this EMI concern, we developed the Electromagnetic Compatibility Radiated Emissions Compliance Design Evaluation Approach for WPT Space Systems. This approach systematically allocates key analyses, simulations and tests procedures to predict WPT EMC compliance to NASA’s EMC standard Mil-Std-461E/F. Three prototype/magnetic elements were successfully assessed by implementing the WPT EMC design approach. The electric fields intensity generated by the WPT prototypes/magnetic elements tested were: 30.02 dBµV/m, 28.90 dBµV/m and 82.13 dBµV/m (requirement limit: 140 dBµV/m). All three prototypes successfully transferred power wirelessly and successfully met the NASA EMC requirements.

Variable renewable energy sources typically connect to the power grid through power electronic interfaces. Increased use of such sources can cause issues for conventional distance protection. The purpose of distance protection is to detect transmission line faults and trip circuit breakers accordingly in order to maintain power system stability and power quality, and to ensure the safety of equipment and humans. Conventional distance protection solutions work satisfactorily in grids dominated by synchronous generators, but it has been recognized in industry and academia that new solutions may be needed in power grids dominated by power electronics interfaced generation due to the non-linear system impacts introduced by such sources. It was the aim of this thesis project to investigate the performance of alternative solutions used toward this end, specifically time domain distance protection solutions which are immune to the dynamics of power electronics interfaced sources. Short-circuit simulations for different fault scenarios have been performed in PSCAD, utilising models with a wind farm connected via a single overhead transmission line to a grid represented by a voltage source and impedance. The PSCAD line voltages and currents were processed in Matlab where both a more conventional phasor-based algorithm and a time domain differential equation based algorithm were implemented and simulated. A tripping logic based on detecting stable fault distance estimates within the primary protection zone was used. The implemented algorithms were compared for 96 scenarios in their ability to identify the faults and fault types, estimate the fault distances, and in their tripping speed. The results show an overall better performance for the differential equation algorithm compared to the conventional phasor-based algorithm, with more successful trips, faster tripping speed and superior distance estimate convergence on the correct fault distance. Some limitations have also been identified for the differential equation algorithm such as a fault impedance trajectory in the impedance plane which can lead to incorrect trips during external faults when using conventional tripping logic. It is suggested that more research be done regarding the differential equation algorithm with the next step being further algorithm development and testing when using fault impedance estimates and a tripping zone in the impedance plane. / Variabla förnybara energikällor använder vanligtvis kraftelektronik som ett gränssnitt för kopplingen till kraftnätet och ökningen av sådana källor kan skapa problem för konventionella distansskydd. Distansskydds syfte är att detektera jord- och fasfel på kraftledningar samt att skicka utlösningssignaler till strömbrytare för att isolera felet, vilket behövs för att upprätthålla kraftnätets stabilitet, effektkvalitet samt för att säkerställa säkerhet för komponenter och människor. Konventionella distansskydd fungerar bra i kraftnät dominerade av synkrongeneratorer men det har uppmärksammats av industrin samt den akademiska världen att nya lösningar kan behövas i kraftnät som är dominerade av energikällor med kraftelektronik-gränssnitt på grund av dess olinjära dynamik. Syftet med detta examensarbete är att undersöka prestandan av alternativa algoritmer för distansskydd som kan användas mot detta ändamål, specifikt tidsdomän algoritmer som är immuna mot dynamiken introducerad av kraftelektroniken. Kortslutningssimuleringar för olika scenarion har simulerats i PSCAD modeller med en vindkraftpark kopplad i änden på kraftledningen, där spänningarna och strömmarna sparas för vidare analys. Resultaten från PSCAD simuleringar bearbetades i Matlab där både en konventionell algoritm baserad på fasvektorer samt en tidsdomän algoritm baserad på differentialekvationer har implementerats och simulerats. Den implementerade utlösningslogiken baserades på att detektera stabila estimeringar för avståendet mellan skyddsreläet och felet på kraftledningen, där utlösningssignaler skickas för stabila estimeringar detekterade inom den primära skyddszonen för reläet. De implementerade algoritmerna jämfördes i 96 olika scenarion för deras förmåga att: identifiera fel och feltypen, estimera avståndet mellan skyddsreläet och felet samt för deras utlösningstider. Resultaten visar en i överlag bättre prestanda för differentialekvations-algoritmen jämfört med den konventionella fasvektor-baserade algoritmen med fler lyckade strömbrytarutlösningar, snabbare utlösningstider samt bättre konvergens och mer korrekt lokalisering för avståndsestimeringen mellan skyddsreläet och felet. Vissa limitationer har även identifierats för differentialekvations-algoritmen, exempelvis en felimpedans-kurva i impedansplanet vilket kan leda till inkorrekta utlösningar för externa fel om ett konventionellt impedansområden används för utlösningslogiken. Det föreslås att mer forskning bör utföras kring differentialekvations-algoritmen med nästa steg att vidare utveckla algoritmen samt utföra tester vid användande av felimpedansestimeringar och en utlösningslogik baserad på impedansområden.

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This work addresses the question of the efficient numerical solution of time-domain boundary integral equations with retarded potentials arising in the problems of acoustic and electromagnetic scattering. The convolutional form of the time-domain boundary operators allows to discretize them with the help of Runge-Kutta convolution quadrature. This method combines Laplace-transform and time-stepping approaches and requires the explicit form of the fundamental solution only in the Laplace domain to be known. Recent numerical and analytical studies revealed excellent properties of Runge-Kutta convolution quadrature, e.g. high convergence order, stability, low dissipation and dispersion. As a model problem, we consider the wave scattering in three dimensions. The convolution quadrature discretization of the indirect formulation for the three-dimensional wave equation leads to the lower triangular Toeplitz system of equations. Each entry of this system is a boundary integral operator with a kernel defined by convolution quadrature. In this work we develop an efficient method of almost linear complexity for the solution of this system based on the existing recursive algorithm. The latter requires the construction of many discretizations of the Helmholtz boundary single layer operator for a wide range of complex wavenumbers. This leads to two main problems: the need to construct many dense matrices and to evaluate many singular and near-singular integrals. The first problem is overcome by the use of data-sparse techniques, namely, the high-frequency fast multipole method (HF FMM) and H-matrices. The applicability of both techniques for the discretization of the Helmholtz boundary single-layer operators with complex wavenumbers is analyzed. It is shown that the presence of decay can favorably affect the length of the fast multipole expansions and thus reduce the matrix-vector multiplication times. The performance of H-matrices and the HF FMM is compared for a range of complex wavenumbers, and the strategy to choose between two techniques is suggested. The second problem, namely, the assembly of many singular and nearly-singular integrals, is solved by the use of the Huygens principle. In this work we prove that kernels of the boundary integral operators $w_n^h(d)$ ($h$ is the time step and $t_n=nh$ is the time) exhibit exponential decay outside of the neighborhood of $d=nh$ (this is the consequence of the Huygens principle). The size of the support of these kernels for fixed $h$ increases with $n$ as $n^a,a<1$, where $a$ depends on the order of the Runge-Kutta method and is (typically) smaller for Runge-Kutta methods of higher order. Numerical experiments demonstrate that theoretically predicted values of $a$ are quite close to optimal. In the work it is shown how this property can be used in the recursive algorithm to construct only a few matrices with the near-field, while for the rest of the matrices the far-field only is assembled. The resulting method allows to solve the three-dimensional wave scattering problem with asymptotically almost linear complexity. The efficiency of the approach is confirmed by extensive numerical experiments.

Osteoporose und gestörte Heilungsverläufe von Knochenbrüchen verursachen immer noch beachtliche klinische Komplikationen. Ein vielversprechender Ansatz für die nichtinvasive und nichtionisierende Abschätzung des Frakturrisikos und der Bildgebung von Frakturheilung ist quantitativer Ultraschall (QUS). Dennoch liegt die derzeitige Akzeptanz für die Knochenqualitätsabschätzung noch weit hinter herkömmlichen röntgenbasierten Anwendungen. Es wurden akustische Mikroskopie und Synchrotronstrahlen-Mikrotomographie für die Anatomie und altersabhängige Erfassung von strukturellen und elastischen Variationen auf der mikroskopischen Ebene von humanen Femora verwendet. Die gewonnenen Daten dienten als Grundlage für die Erstellung mikromechanischer Modelle von Knochen für numerische Simulationen der Schallausbreitung im humanen Femurhals. Dabei wurde der Aufbau eines US-basierten Femur-Scanners in transversaler Transmission (TT) nachempfunden. Im letzten Abschnitt der Arbeit wurde QUS in TT in in vitro Experimenten am Rattenfrakturmodell auf eine Anwendung für die Bildgebung der Frakturheilung getestet. Die Studien konnten zeigen, dass ein Großteil der adaptiven Fähigkeiten von Knochen auf mikroskopischer Ebene auf eine Kombination von extrazellulärer Matrixelastizität und Gewebeporosität zurückzuführen ist. Die Simulationen des zweiten Teils konnten die Existenz von geführten Wellen im humanen Femurhals bestätigen. Die sensitive Abhängigkeit von US-parametern von frakturrelevanten Knocheneigenschaften zeigt das hohe Potential von QUS für die Frakturrisikoabschätzung. Der zweite Teil der Arbeit konnte erfolgreich die Möglichkeit von QUS in TT zur Diskriminierung von zeitigen Heilungsstadien demonstrieren. Zusammenfassend bestätigt die Studie das hohe Potential von QUS für die Frakturrisikoabschätzung und die Bildgebung der Frakturheilung. / Osteoporosis and impaired bone healing are of high relevance. A promising non-invasive, non-ionizing candidate for fracture risk prediction and monitoring fracture healing is quantitative ultrasound (QUS). However, the acceptance of QUS for bone quality assessment is still not comparable to X-ray based methods. Scanning acoustic microscopy (SAM) and Synchrotron Radiation micro-computer tomography (SRµCT) has been used to investigate anatomical and age dependent variations of micro elastic, structural and mineralization parameters at the tissue level of human femoral bone. Femoral neck models were created based on these data for numerical sound propagation simulations emulating a transverse transmission (TT) setup of an in vivo QUS prototype. In the last part of the project the TT approach has been tested in ex vivo experiments in a rat healing model. The power of QUS, to discriminate two early healing stages has been compared to µCT measurements at the same specimens. It was found that the major contributor to bone adaptation is related to a combination of extracellular matrix elasticity and tissue porosity. It is hypothesized that these parameters are likely to have a considerable impact on the reliability of in silico models. The simulations of the second part confirmed the existence of guided wave propagation in the cortical shell and a high dependency of US parameters on fracture relevant bone properties. The results demonstrate the high potential for bone fracture risk prediction at the femoral neck using QUS. Finally, it was successfully demonstrated that early healing stage discrimination of QUS in TT was superior compared to µCT. In summary these investigations not only show the importance for a precise estimation of micro mechanical properties for numerical modelling but also demonstrate the feasibility and high potential of QUS for bone quality assessment and monitoring of fracture healing.

Elektrische und magnetische Emitter können zur Erforschung unterschiedlicher plasmonischer Nanostrukturen genutzt werden. Indem wir die Änderung der Abstrahldynamik und in der Lebensdauer bestimmen, detektieren wir die photonische lokale Zustandsdichte. Diese Zustandsdichte, die eine Eigenschaft der Umgebung ist, ermöglicht uns nicht nur Rückschlüsse auf die elektronischen und andere physikalische Eigenschaften dieser zu treffen sondern auch die allgemeinen Eigenschaften der plasmonischen Nanostruktur im Bezug auf Licht-Materie Kopplung zu bestimmen. Eine starke Licht-Materie-Kopplung ist für die zukünftige Anwendung im Bereich der Quantentechnologien wichtig. Wenn Emitter hierbei mit plasmonischen Nanostrukturen koppeln, fokussieren letztere nicht nur das emittierte Lichts an der Oberfläche im Subwellenlängenbereich sondern ermöglichen durch die Feldüberhöhung an der Oberfläche auch eine starke Licht-Materie-Kopplung. In der Arbeit konzentrieren wir uns auf zwei grundlegend unterschiedliche plasmonische Systeme: zunächst untersuchen wir analytisch den Einfluss von Graphen auf elektrische und magnetische Emitter und diskutieren dann die Lebensdaueränderungen und Strahlungsdynamiken in der Nähe von Silber- und Goldnanostrukturen. Im ersten Teil der Arbeit analysieren wir den Einfluss von Graphen mit einer Bandlücke auf den Emitter und zeigen Möglichkeiten zur experimentellen Bestimmung der Bandlücke auf. Im zweiten Teil modellieren wir die Propagation elektromagnetischer Felder im dreidimensionalen Raum mit Hilfe der Diskontinuierlichen Galerkin Zeitraum Methode mit erweiterten Funktionalitäten. Diese verwenden wir sowohl zur theoretischen Modellierung des ersten dreidimensionalen Fluoreszenlebensdauerabbildungsmikroskopie mit einem einzelnen Quantenemitter als auch zur selbstkonsistent Beschreibung von Emittern in der Nähe eines Goldpentamers. Die Kombination der Studien betont die Stärke von Emittern elektrische, optische und magnetische Eigenschaften zu detektieren. / Electric and magnetic emitters can be used to probe different plasmonic nanostructures. By determining the modification of the radiation dynamics and the lifetimes, we can measure the photonic local density of states. This, being a property of the enviroment, does not only allow us to draw conclusions regarding the electronic and other physical properties of the latter but also regarding the general light-matter coupling properties of the plasmonic nanostructure. A strong light-matter coupling is important for future applications in quantum technology. If emitters couple specifically to plasmonic nanostructure, the latter do not only focus the emitted light at the sub-wavelength scale at the surface of the structure but also allow for such a strong light-matter coupling due to the field enhancement at the surface. In this work, we focus on two different basic plasmonic systems: first, we study analytically the influence of graphene on electric and magnetic emitters, and second we discuss lifetime modifications and radiation dynamics close to silver and gold nanostructures. In the first part of this work, we specifically focus on the influence of graphene exhibiting a finite band gap on the emitter. In the second part, we model the propagation of electromagnetic fields in three-dimensional space making use of the discontinuous Galerkin time-domain method with extended functionalities. This framework we apply to model the first three-dimensional scanning-probe fluorescence-lifetime imaging microscopy by use of a single quantum-emitter as well as for a self-consistent description of emitters in the proximity of a gold pentamer. The combination of these studies stress that the strength of emitters lies in the detection of electronic, optical and magnetic properties.

In dieser Arbeit werden die nichtlokalen sowie nichtlinearen Eigenschaften plasmonischer Nanopartikel behandelt, wie sie im hydrodynamischen Modell enthalten sind. Das hydrodynamische Materialmodell stellt eine Erweiterung des Drude Modells dar, in der Korrekturen in der Beschreibung des Elektronenplasmas berücksichtigt werden. Einer ausführlichen Einführung des Materialmodells folgt eine analytische Diskussion der Auswirkungen der Nichtlokalität am Beispiel eines einzelnen Zylinders. Hierbei werden die durch die Nichtlokalität herbeigeführten Frequenzverschiebungen in den Streu- und Absorptionsspektren quantifiziert und asymptotisch behandelt. Des Weiteren wird mit Hilfe einer konformen Abbildung das Problem eines zylindrischen Dimers in der Elektrostatischen Näherung gelöst und die Moden der Struktur bestimmt. Diese Untersuchungen dienen als maßgebliche Grundlage für weiterführende numerische Studien die mit der diskontinuierlichen Galerkin Zeitraummethode durchgeführt werden. Die durch die analytischen Betrachtungen gewonnene Kenntnis der Moden ermöglicht es, im Zusammenhang mit gruppentheoretischen Betrachtungen und numerischen Untersuchungen, rigorose Auswahlregeln für die Anregung der Moden durch lineare und nichtlineare Prozesse aufzustellen. In weiterführenden numerischen Simulationen werden außerdem Strukturen niedrigerer Symmetrie, auf die sich die Auswahlregeln übertragen lassen, untersucht. Zudem werden numerische Studien präsentiert in denen der Einfluss der Nichtlokalität auf Feldüberhöhungen in Dimeren und doppel-resonantes Verhalten (es liegt sowohl bei der Frequenz des eingestrahlten Lichtes als auch bei der zweiten harmonischen eine Resonanz vor) untersucht werden. / This thesis deals with the nonlocal and nonlinear properties of plasmonic nanoparticles, as described by the hydrodynamic model. The hydrodynamic material model represents an extension of the Drude model that contains corrections to the descriptions of the electron plasma. After a thorough derivation of the material model, analytical discussions of nonlocality are presented for the example of a single cylinder. The frequency shifts in the scattering and absorption spectra are quantified and treated asymptotically. Furthermore, by applying a conformal map, the problem of a cylindrical dimer is solved in the electrostatic limit and the modes of the structure are determined. These investigations lay the foundations for numerical investigations which are performed employing the discontinuous Galerkin time domain method. The analytical knowledge of the modes, in conjunction with group theoretical considerations and numerical analysis, enables the formulation of rigorous selection rules for the excitation of modes by linear and nonlinear processes. In further numerical studies, the influence of nonlocality on the field enhancement in dimer structures and double-resonant behavior (a resonance is found at the frequency of the incoming light and at the second harmonic) are investigated.

A precisão e acurácia dos métodos mais utilizados atualmente de processamento de dados de espectroscopia por Ressonância Magnética (MRS), baseados na Transformada de Fourier (FT), requerem supressão apropriada (o que está longe de ser trivial) e aquisições longas para a obtenção de alta resolução espectral. Além disso, a FT tem dificuldades quando faltam dados no domínio de tempo, como, por exemplo, pela redução do tempo de aquisição, e consequente número de pontos adquiridos. Isto pode ocorrer, também, por artefatos na aquisição ou, ainda, seja pela exclusão intencional dos primeiros pontos do sinal para a eliminação de ressonâncias largas que estão distorcendo a linha de base no domínio da frequência. Neste estudo, propomos a utilização do Método de Diagonalização na Base de Krylov (KBDM) como uma alternativa a FT para algumas de suas limitações. O método ajusta sinais de experimentos de Free Induction Decay (FID) por uma soma de funções harmônicas complexas, amortecidas exponencialmente, permitindo uma fácil manipulação dos seus parâmetros de caracterização. O KBDM é numericamente mais efetivo para análise de sinais truncados e tem diversos recursos que possibilitam remover picos de forma mais eficiente, como por exemplo, o pico residual da água. Além disso, foi introduzida a possibilidade de quantificação de dados de MRS com o método. Para avaliar a sensibilidade, eficiência e reprodutibilidade do método para quantificar e analisar sinais truncados, foi proposto fazer simulações de espectros clínicos e experimentos em phantoms que representassem o ambiente metabólico do cérebro, para MRS de próton de diferentes níveis de ruídos e para pequenas variações do N-acetil aspartato (NAA). Com estes estudos pôde se comprovar a viabilidade do método para processar dados de MRS e verificar seu potencial na complementação das técnicas atualmente empregadas, especialmente quando uma resolução espectral e temporal maior que o limite imposto pela Relação de Incerteza do formalismo de Fourier é necessária. Além disso, uma desejável facilidade de manipulação de picos específicos (por exemplo, exclusão e quantificação) é proporcionada pelo método. Como perspectivas animadoras deste trabalho esperamos a introdução do KBDM como uma técnica eficiente e coadjuvante ao Imageamento de Ressonância Magnética funcional (fMRI), auxiliando estudos de funções cerebrais, em sequências de MRS para identificar uma rápida variação das linhas associadas as atividades metabólicas dos cérebros. / The precision and accuracy of the most widely used methods to perform Magnetic Resonance Spectroscopy (MRS) data processing based on the Fourier Transform (FT), require appropriate suppression (which is far from trivial) and long acquisitions to obtain high spectral resolution. Furthermore, FT poses difficulty when there are missing data in the time domain. This occurs because of reduction of the acquisition time and consequently also in the number of acquired points, or because of artifacts during acquisition, or even intentional exclusion of the first signal points for the elimination of broad resonances that are producing the distorted baseline in the frequency domain. In this study, we propose the use of the Krylov Basis Diagonalization Method (KBDM) formalism as an alternative to some of FT limitations. The method adjusts signals of Free Induction Decay (FID) experiments with a sum of complex harmonic functions, exponentially damped, allowing easy manipulation of its characterization parameters. The KBDM is numerically more effective for truncated signal analysis and has several features that make it possible to remove peaks more efficiently, such as the residual water peak. Moreover, we introduced the possibility of quantification of MRS data with the described method. To evaluate the sensitivity, efficiency and reproducibility of the method for quantifying and analyzing truncated signals, and through the clinical spectra simulations and experiments in phantoms that would represent the brain metabolic environment, we proposed to perform proton MRS at different noise levels and with small variations of N- acetyl aspartate (NAA) metabolite. These studies allowed to prove the feasibility of the method to process MRS data and verified its potential in complementing techniques currently employed, especially when a greater temporal and spectral resolution is required, more than the limit imposed by the Uncertainty Relation of FT formalism. Furthermore, it is also a desirable effortless tool of handling specific peaks (e.g., exclusion and quantification). Exciting prospects from this work include the introduction of KBDM as an efficient and adjuvant technique to functional Magnetic Resonance Imaging (fMRI), for studying the brain functions, in MRS sequence to identify rapid variation in spectroscopic lines associated to metabolic activities in the brain.