No description available.

No description available.

Attenuation of low frequency turbofan engine noise has been a challenging task in an industry that requires low weight and tightly-packed solutions. Without innovative advancements, the technology currently used will not be able to keep up with the increasingly stringent requirements on aircraft noise reduction. A need exists for novel technologies that will pave the way for the future of quiet aircraft. This thesis investigates acoustic metamaterials and their ability to achieve superior transmission loss characteristics not found in traditional honeycomb liners. The acoustic metamaterials investigated are an array of Helmholtz resonators with and without coupled cavities periodically-spaced along a duct wall. Analytical, numerical, and experimental developments of these acoustic metamaterial systems are used herein to study the effects of this technology on the transmission loss. Particularly focusing on analytical modeling will aid in understanding the underlying physics that governs their interesting transmission loss behavior. A deeper understanding of the physics will be used to aid in future acoustic metamaterial liner design. A parameter study is performed to understand the effects of the geometry, spacing, and number of resonators, as well as resonator cavity coupling on performance. Increased broadband transmission loss, particularly in low frequencies, is achieved through intelligent manipulation of these parameters. Acoustic metamaterials are shown to have appealing noise cancellation characteristics that prove to be effective for aircraft engine liner applications. / Master of Science / Aircraft noise reduction is an ongoing challenge for the aerospace industry. Without innovative advancements, the next generation of aircraft will not be able to keep up with increasingly stringent noise regulations; novel acoustic technology is needed to pave the way for a future of quieter aircraft. This thesis investigates acoustic metamaterials and their ability to achieve superior noise reduction over traditional methods. Modeling techniques were developed, and experimental tests were conducted to quantitatively evaluate the effectiveness of a new acoustic metamaterial system. The acoustic metamaterial design explored herein was proven to reduce noise effectively and shows promise for a world of quieter aircraft.

When creating a muffler to be installed on a noise generating machine, the design parameters as well as the placements of sound attenuating elements has to be optimized in order to minimize the sound coming out of the equipage. This is exemplified in a small project task for students of a basic course in optimization at KTH. The task is however flawed, since both the way in which the optimization problem is formed is overly simplistic and the algorithm used to solve the problem, fmincon, does not cope well with the mathematical complexity of the model, meaning it gets stuck in a local optimum that is not a global optimum. This thesis is about investigating how to solve both of these problems. The model is modified to combine several frequencies and adjusting them to the sensitivity to different frequencies in the human ear. By doing this, the objective is changed from the previous way of maximizing Dynamic Insertion Loss Dilfor a specific frequency to minimize the total perceived sound level LA.  The model is based on the modular design of TMM from four-pole theory. This divides the muffler into separate parts, with the sound attenuating elements being mathematically defined only by what T matrix it has. The element types to choose from are the Expansion Chamber, the Quarter Wave Resonator and the Helmholtz Resonator. The global optimization methods to choose from are Global Search, MultiStart, Genetic Algorithm, Pattern Search and Simulated Annealing. By combining the different types of sound attenuating elements in every way and solving each case with every global optimization method, the best combination to implement to the model is chosen. The choice is two Quarter Wave Resonators being solved by MultiStart, which provides satisfactory results. Further analysis is done to ensure the robustness of chosen implementation, which does not reveal any significant flaws. The purpose of this thesis is fulfilled. / När man skapar en ljuddämpare som ska installeras på en ljud-genererande maskin bör designparametrarna samt placeringarna av ljuddämpande element optimeras för att minimera ljudet som kommer ut ur ekipaget. Detta exemplifieras i en liten projektuppgift för studenter till en grundkurs i optimering på KTH. Uppgiften är dock bristfällig, eftersom både det sätt som optimeringsproblemet är utformat är alltför förenklat och den algoritm som används för att lösa problemet, fmincon, inte klarar av modellens matematiska komplexitet bra, vilket menas med att den fastnar i ett lokalt optimum som inte är ett globalt optimum. Detta examensarbete handlar om att undersöka hur man kan lösa båda dessa problem. Modellen är modifierad för att kombinera flera frekvenser och anpassa dem till känsligheten för olika frekvenser i det mänskliga örat. Genom att göra detta är målet ändrat från det tidigare sättet att maximera den dynamiska insatsisoleringen DIL för en specifik frekvens till att minimera den totala upplevda ljudnivån LA. Modellen bygger på den modulära designen av TMM från 4-polsteori. Detta delar upp ljuddämparen i separata delar, med ljuddämpande element som matematiskt endast definieras av vilken T matris de har. De elementtyper att välja mellan är expansionskammare, kvartsvågsresonator och Helmholtzresonator. De globala optimeringsmetoder att välja mellan är Global Search, MultiStart, Genetic Algorithm, Pattern Search och Simulated Annealing. Genom att kombinera de olika typerna av ljuddämpande element på alla sätt och lösa varje fall med varje global optimeringsmetod, blir den bästa kombinationen vald och implementerad i modellen. Valet är två kvartsvågsresonatorer som löses genom MultiStart, vilket ger tillfredsställande resultat. Ytterligare analyser görs för att säkerställa robustheten av den valda implementationen, som inte avslöjar några väsentliga brister. Syftet med detta examensarbete är uppfyllt.

No description available.

By studying self-avoiding polygons (SAPs) in (L, M )-tubes (a tubular sublattice of the simple cubic lattice) as a sequence of 2-spans, transfer matrices can be used to obtain theoretical and numerical results for these SAPs. As a result, asymptotic properties of these SAPs, such as pattern densities in a random SAP and the expected span of a random SAP, can be calculated directly from these transfer matrices. These same results can also be obtained for compact polygons, as well as SAPs under the influence of an external force (called compressed or stretched polygons). These results can act as tools for examining the entanglement complexity of SAPs in (L, M )-tubes. In this thesis, it is examined how transfer matrices can be used to develop these tools. The transfer matrix method is reviewed, and previous transfer matrix results for SAPs in (L, M )-tubes, as well as SAPs subjected to an external force, are presented. The transfer matrix method is then similarly applied to compact polygons, where new results regarding compact polygons are obtained, including proofs for a compact concatenation theorem and for a compact pattern theorem. Also in this thesis, transfer matrices are actually generated (via the computer) for relatively small tube sizes. This is done for the general case of SAPs in (L, M )-tubes, as well as for the compact and external force cases. New numerical results are obtained directly from these transfer matrices, and a new algorithm for generating polygons is also developed from these transfer matrices. Compact polygons are actually generated (via the computer) for relatively small tube sizes and spans by using the developed polygon generation algorithm, and new numerical results for pattern densities and limiting free energies are obtained for stretched and compressed polygons.

David Wagenknecht: Abstract of a diploma thesis Optical response of magnetic materials, 2014 Magnetooptical properties of anisotropic semiconductors are studied to describe asymmetry of Ga1−xMnxAs, because theoretical calculations predict extraordinary behaviour of reflectivity. Analytical formulae to describe materials with non-diagonal permittivity are derived and they are used for the numerical calculations to describe the optical response of the samples available for the measurement. The transversal Kerr effect is calculated and it exhibits asymmetry in both rotation of the plane of polarization and ellipticity of circularly polarized light due to asymmetry in reflectivity. Moreover, longitudinal and polar magnetization are studied because of the influence on the observability of the phenomena. Results are not only used to discuss conditions, which must be satisfied to prove the asymmetry, but also the actual experimental setup is designed to prepare the measurement. 1

Os processos envolvidos em condução eletrônica de polímeros condutores são muito complicados devido à intricada morfologia estrutural de tais materiais. Realizamos medidas de condutividade alternada em filmes de polianilina em uma grande faixa de freqüência, variando o grau de dopagem dos filmes e temperatura. Ao mesmo tempo, desenvolvemos um modelo estatístico de rede de resistores para descrever a estrutura polimérica e para simular as componentes real e imaginária de sua resistividade alternada. Leva-se em conta a polidispersividade do material, assim como os mecanismos de transportes de carga intracadeia e intercadeia. Pela aplicação de uma técnica de matriz de transferência, o modelo reproduz medidas de resistividade alternada realizadas em filmes de polianilina em diferentes graus de dopagem e em diferentes temperaturas. Nossos resultados indicam que os mecanismos intercadeias governam o comportamento da resistividade em regiões de baixa freqüência enquanto que, para altas freqüências, mecanismos intracadeia são dominantes. Essa simulação foi desenvolvida para redes bi e tridimensional. Aplicamos, também, esse método para estudar sistemas isoenergéticos de estrutura desordenada (poliacetileno estirado), sistemas isoenergéticos de estrutura desordenada (poliacetileno não-estirado) e sistemas não-isoenergéticos de estrutura desordenada (polianilina). Finalmente, uma comparação entre esses três materiais, permitiu-se discutir, em detalhes, a distribuição de barreiras de energia potencial e a diferença dos níveis de energia que controlam o mecanismo de salto dos portadores eletrônicos. / The processes involved in electronic conduction of conducting polymers are very complicated due to the intricate morphological structure of such materials. We carried out alternating conductivity measurements in polyaniline films in a large frequency range, varying the doping degree of the films and temperature. At the same time, we developed a statistical model of resistor networks to describe a polymer structure and to simulate the real and imaginary components of their ac resistivities. This model takes into account the polydispersiveness of the material as well as intrachain and interchain charge transport mechanisms. By the application of a transfer-matrix technique, it reproduces ac resistivity measurements carried out with polyaniline films in different doping degrees and temperatures. Our results indicate the interchain mechanisms govern the resistivity behavior in the low frequency region while, for higher frequencies, intrachain mechanisms are dominated. These simulations were developed in bi and tridimensional lattice. We also applied this method to study ordered structure in isoenergetic systems (stretched polyacetylene), disordered structure in isoenergetic systems (normal polyacetylene), and disordered structure in non-isoenergetic systems (polyaniline). Finally, a comparison between these three materials, allowed us to discuss in detail the energy barriers distribution and the difference in energy levels, which control the hopping mechanisms of the electronic carriers.

Orientador: Alexys Bruno Alfonso / Banca: Ernesto Reyes Gómez / Banca: Fabio de Jesus Ribeiro / O programa de Pós graduação em Ciência e Tecnologia de Materiais, PosMat, tem carater institucional e integra as atividades de pesquisa em materiais de diversos campi da UNESP / Resumo: Os cristais fotônicos são novos materiais em que a permissividade dielétrica e a permeabilidade magnética apresentam a periodicidade de uma rede de Bravais. No caso dos sólidos cristalinos, é a energia potencial de cada elétron que apresenta esse tipo de periodicidade. Por conta das semelhanças que existem entre as equações que descrevem os sintomas eletrônicos e fotônicos, muitos dos conceitos e métodos da teoria de estados eletrônicos vêm sendo aplicados na investigação de cristais fotônicos. Dentre esses conceitos, as funções de Wannier apresentam vantagens para o tratamento de estados eletrônicos e modos fotônicos localizados. Este trabalho aborda o caso de cristais fotônicos unidimensionais com simetria de inversão. Primeiramente são calculados e analisadas funções de Wannier bem localizadas. Em seguida são investigados os modos eletromagnéticos localizados produzidos por defeitos em cristais fotônicos, utilizando o método de matriz de transferência e o método da combinação linear das funções de Wannier. Finalmente, é feita a comparação dos resultados obtidos mediante esses métodos e são discutidas as vantagens do uso de funções de Wannier / Abstract: Photonic crystal are new materials where both the dielectric permittivity and the magnetic permeability present the periodicity of a Bravais lattice. In the case of electronic states, this property is shown by the mono-eletronic potential energy. Due to the similarities between the eletronic and photonic problems, many concepts and methods of theory of electronic states are being applied to investigate photonic crystals. Among such concepts, the Wannier functions are advantageous to deal with either localized photonic modes. This work addresses the case of one-dimensional photonic crystals with inversion symmetry. First, well-localized Wannier functions are calculated and analyzed. Then, the localized modes produced by defects in photonic crystals are investigated by using either transfer matrices or linear combination Wannier functions. Finally, the results obtained by the two methods are compared and the advantages of using Wannier functions are discussed / Mestre

Os processos envolvidos em condução eletrônica de polímeros condutores são muito complicados devido à intricada morfologia estrutural de tais materiais. Realizamos medidas de condutividade alternada em filmes de polianilina em uma grande faixa de freqüência, variando o grau de dopagem dos filmes e temperatura. Ao mesmo tempo, desenvolvemos um modelo estatístico de rede de resistores para descrever a estrutura polimérica e para simular as componentes real e imaginária de sua resistividade alternada. Leva-se em conta a polidispersividade do material, assim como os mecanismos de transportes de carga intracadeia e intercadeia. Pela aplicação de uma técnica de matriz de transferência, o modelo reproduz medidas de resistividade alternada realizadas em filmes de polianilina em diferentes graus de dopagem e em diferentes temperaturas. Nossos resultados indicam que os mecanismos intercadeias governam o comportamento da resistividade em regiões de baixa freqüência enquanto que, para altas freqüências, mecanismos intracadeia são dominantes. Essa simulação foi desenvolvida para redes bi e tridimensional. Aplicamos, também, esse método para estudar sistemas isoenergéticos de estrutura desordenada (poliacetileno estirado), sistemas isoenergéticos de estrutura desordenada (poliacetileno não-estirado) e sistemas não-isoenergéticos de estrutura desordenada (polianilina). Finalmente, uma comparação entre esses três materiais, permitiu-se discutir, em detalhes, a distribuição de barreiras de energia potencial e a diferença dos níveis de energia que controlam o mecanismo de salto dos portadores eletrônicos. / The processes involved in electronic conduction of conducting polymers are very complicated due to the intricate morphological structure of such materials. We carried out alternating conductivity measurements in polyaniline films in a large frequency range, varying the doping degree of the films and temperature. At the same time, we developed a statistical model of resistor networks to describe a polymer structure and to simulate the real and imaginary components of their ac resistivities. This model takes into account the polydispersiveness of the material as well as intrachain and interchain charge transport mechanisms. By the application of a transfer-matrix technique, it reproduces ac resistivity measurements carried out with polyaniline films in different doping degrees and temperatures. Our results indicate the interchain mechanisms govern the resistivity behavior in the low frequency region while, for higher frequencies, intrachain mechanisms are dominated. These simulations were developed in bi and tridimensional lattice. We also applied this method to study ordered structure in isoenergetic systems (stretched polyacetylene), disordered structure in isoenergetic systems (normal polyacetylene), and disordered structure in non-isoenergetic systems (polyaniline). Finally, a comparison between these three materials, allowed us to discuss in detail the energy barriers distribution and the difference in energy levels, which control the hopping mechanisms of the electronic carriers.