Atualmente o potencial vetor é geralmente tratado no eletromagnetismo clássico como um artifício para o cálculo dos campos elétricos e magnéticos sem um significado claro. No entanto, quando foi proposto na metade do século XIX, ele possuía um significado físico claro e desempenhava um papel central para Faraday, Maxwell e outros físicos britânicos. Um dos objetivos deste trabalho é entender como se deu esta mudança na interpretação do conceito de potencial vetor. Para isto foi realizado um estudo histórico analisando as diferentes interpretações para este conceito partindo dos trabalhos de Faraday sobre indução eletromagnética, onde propôs o conceito de estado eletrotônico. Analisamos as contribuições de William Thomson que fortemente inspiraram Maxwell a sugerir diferentes interpretações para o conceito em trabalhos publicados ao longo de cerca de duas décadas até a publicação do Treatise on Electricity and Magnestism em 1873. No final do século XIX a interpretação dada por Maxwell ao conceito de potencial vetor começou a ser questionada por vários físicos. Uma das questões envolvidas neste processo foi a realidade das grandezas físicas. Nomes como Heaviside, Hertz e outros defendiam que as grandezas dotadas de realidade física na teoria eletromagnética eram os campos elétrico e magnético e não o potencial vetor. Com essa nova visão desenvolveram uma nova teoria eletromagnética próxima da que conhecemos atualmente. No entanto, este processo não foi linear e aceito acriticamente. Ao longo do século XX foram publicados trabalhos propondo uma interpretação física para o potencial vetor, ainda no contexto clássico. O estudo histórico aqui desenvolvido priorizou a abordagem desenvolvida na Grã-Bretanha / Currently the vector potential generally is considered in the classical electromagnetic theory as an artifice for the calculation of the electric and magnetic fields and without a clear physical meaning. However, when it was proposed in the mid-nineteenth century, it used to have a clear physical meaning and played a central role for Faraday, Maxwell and other British physicists. One of the goals of this dissertation is to understand how the meanings attributed to the vector potential changed along years. In order to answer to this question, we developed a historical study analyzing the different interpretations for this concept starting with the works of Faraday on electromagnetic induction, where he introduced the concept of electrotonic state. We analyzed the contributions of William Thomson that inspired strongly Maxwell to suggest different interpretations for the concept in works published along the next two decades until the publication of the Treatise on Electricity and Magnestism in 1873. In the end of the nineteenth century Maxwells interpretations for the vector potential began to be questioned by several physicists. One of the issues involved in this questioning was the reality of the physical quantities. People as Heaviside, Hertz and others defended that electric and magnetic fields, not the vector potential, were quantities endowed with physical reality. With this new approach they developed a new electromagnetic theory closer to the currently accepted. Nevertheless, this process was not linear and uncritically accepted. Throughout the twentieth century papers and books were published defending a physical interpretation for the vector potential considering a classical context for the electromagnetic theory. The historical study developed here focused the developments in Great-Britain although some mentions to Continental physics are made

The first contribution of this thesis is a new regularity theorem for time harmonic Maxwell's equations with less than Lipschitz complex anisotropic coefficients. By using the L^p theory for elliptic equations, it is possible to prove H¹ and Hölder regularity results, provided that the coefficients are W^1,p for some p = 3. This improves previous regularity results, where the assumption W^1,∞ for the coefficients was believed to be optimal. The method can be easily extended to the case of bi-anisotropic materials, for which a separate approach turns out to be unnecessary. The second focus of this work is the boundary control of the Helmholtz and Maxwell equations to enforce local constraints inside the domain. More precisely, we look for suitable boundary conditions such that the corresponding solutions and their derivatives satisfy certain local non-zero constraints. Complex geometric optics solutions can be used to construct such illuminations, but are impractical for several reasons. We propose a constructive approach to this problem based on the use of multiple frequencies. The suitable boundary conditions are explicitly constructed and give the desired constraints, provided that a finite number of frequencies, given a priori, are chosen in a fixed range. This method is based on the holomorphicity of the solutions with respect to the frequency and on the regularity theory for the PDE under consideration. This theory finds applications to several hybrid imaging inverse problems, where the unknown coefficients have to be imaged from internal measurements. In order to perform the reconstruction, we often need to find suitable boundary conditions such that the corresponding solutions satisfy certain non-zero constraints, depending on the particular problem under consideration. The multiple frequency approach introduced in this thesis represents a valid alternative to the use of complex geometric optics solutions to construct such boundary conditions. Several examples are discussed.

In this dissertation, a novel approach to modeling the scattered field of a periodic corrugated cylinder, from an oblique incident planewave, is presented. The approach utilizes radial waveguide approximations for fields within the corrugations, which are point matched to approximated scattered fields outside of the corrugation to solve for the expansion coefficients. The point matching is done with TMz and TEz modes simultaneously, allowing for hybrid modes to exist. The derivation of the fields and boundary conditions used are discussed in detail. Axial and radial propagating modes for the scattered fields are derived and discussed. Close treatment is given to field equations summation truncation and conversion to matrix form, for numerical computing. A detailed account of the modeling approach using Mathematica® and NCAlgebra for the noncommutative algebra, involved in solving for the expansion coefficients, are also given. The modeling techniques offered provide a full description and prediction of the scattered field of a periodic corrugated cylinder. The model is configured to approximate a smooth cylinder, which is then compared against that of a textbook standard smooth cylinder. The methodology and analysis applied in this research provide a solution for computational electromagnetics, RF communications, Radar systems and the like, for the design, development, and analysis of such systems. Through the rapid modeling techniques developed in this research, early knowledge discovery can be made allowing for better more effective decision making to be made early in the design and investigation process of an RF project. / Includes bibliography. / Dissertation (Ph.D.)--Florida Atlantic University, 2017. / FAU Electronic Theses and Dissertations Collection

In this dissertation, a novel approach to modeling the scattered field of a periodic corrugated cylinder, from an oblique incident planewave, is presented. The approach utilizes radial waveguide approximations for fields within the corrugations, which are point matched to approximated scattered fields outside of the corrugation to solve for the expansion coefficients. The point matching is done with TMz and TEz modes simultaneously, allowing for hybrid modes to exist. The derivation of the fields and boundary conditions used are discussed in detail. Axial and radial propagating modes for the scattered fields are derived and discussed. Close treatment is given to field equations summation truncation and conversion to matrix form, for numerical computing. A detailed account of the modeling approach using Mathematica® and NCAlgebra for the noncommutative algebra, involved in solving for the expansion coefficients, are also given. The modeling techniques offered provide a full description and prediction of the scattered field of a periodic corrugated cylinder. The model is configured to approximate a smooth cylinder, which is then compared against that of a textbook standard smooth cylinder. The methodology and analysis applied in this research provide a solution for computational electromagnetics, RF communications, Radar systems and the like, for the design, development, and analysis of such systems. Through the rapid modeling techniques developed in this research, early knowledge discovery can be made allowing for better more effective decision making to be made early in the design and investigation process of an RF project. / Includes bibliography. / Dissertation (Ph.D.)--Florida Atlantic University, 2017. / FAU Electronic Theses and Dissertations Collection

In recent years a new class of materials, the metamaterials, has emerged in the scientific community. The use of these materials makes possible to achieve unique electromagnetic properties, such as the negative refractive index. Today there exist several applications that take advantage of these special properties, such as sensors, antennas and invisibility cloaks, aiming at improving their intrinsic characteristics. Based on these considerations, this project aims at developing metamaterials structures to control the radiation properties of antennas in the microwave range, such as gain and directivity. More specifically, it was also chosen chiral metamaterials, mainly due to the phenomenon of electromagnetic field rotation which opens the possibility to control efficiently the radiation properties of antennas. In addition, chiral metamaterials, which have proved to be a more attractive alternative to obtain negative or zero refractive index, enable a greater degree of freedom in the design of different structures. This work encompasses all different phases of the structure design, namely: project, computational modeling, fabrication, and characterization of the proposed structures. We show improvements for the gain that in some cases reaches more than the double of the conventional monopole antenna gain and for the return loss parameter, which reaches minimum values. We also could maintain good efficiency and improve the input impedance matching. Finally, it is worth mentioning that this new technology also has the great potential to be applied in the telecommunication devices, particularly to improve communications based on antennas. / Nos últimos anos uma nova classe de materiais, os metamateriais, emergiu na comunidade científica. O uso desses materiais torna possível alcançar propriedades eletromagnéticas singulares, como o índice de refração negativo. Hoje existem vastas aplicações que usufruem destas propriedades especiais, como os sensores, mantas de invisibilidade e antenas, onde se procura o aperfeiçoamento de suas características intrínsecas. Com base nestas considerações, este projeto buscou desenvolver estruturas metamateriais para controle das propriedades de radiação de antenas na faixa de micro-ondas, tais como diretividade e ganho. Mais especificamente, foram utilizados os metamateriais quirais, principalmente devido ao fenômeno de rotação do campo eletromagnético que abre a possibilidade de controle mais eficiente das propriedades de radiação de antenas. Além disso, os metamateriais quirais, por se mostrarem uma alternativa mais atraente para se obter meios com índice de refração zero ou negativo, possibilitam um maior grau de liberdade no projeto de diferentes estruturas. Este trabalho contempla, ainda, todas as etapas de projeto de tais estruturas, quais sejam: projeto, modelagem computacional, fabricação, e caracterização das estruturas. Mostramos melhorias para o ganho que, em alguns casos, chega a mais do que o dobro do ganho da antena monopolo convencional e para o parâmetro de perda de retorno, que atinge valores mínimos. Nós também mantivemos uma boa eficiência e melhoramos o casamento de impedância de entrada. Finalmente, vale salientar que essa nova tecnologia também apresenta grande potencial de ser aplicada em dispositivos de telecomunicações, com o intuito de aprimorar a comunicação baseada em antenas.

Made available in DSpace on 2016-04-28T14:16:29Z (GMT). No. of bitstreams: 1 HCS - Joao Batista Alves dos Reis.pdf: 4748552 bytes, checksum: b98b1c23a854d24150e6e670ba053214 (MD5) Previous issue date: 2006-11-01 / The present research aimed to show the construction of Michael Faraday s (1791- 1867) electromagnetic theory, from an architectural methodological perspective. Thus, the starting point were the supporting pillars: the notion of the unity of the forces of nature and the goal of improving the mind. Next, it was sought to identify the constitutive elements, the dialogue between which would result in a harmonious building: observation, experiment and mental images, which would lead to the studies on the relationship between electromagnetism and light. Finally, Faraday s activity in the divulgation of science was approached, which showed a coherence with his lifelong principles. The main source for analysis was Faraday s diary, Faraday s Diary: Being the Various Philosophical Notes of Experimental Investigation. Other sources included Experimental Researches in Electricity and personal letters / Nesta pesquisa procurou-se mostrar a construção da teoria eletromagnética de Faraday, guiada por um projeto arquitetônico metodológico. Para isso, partiu-se de seus pilares de sustentação: a idéia de unidade das forças da Natureza e a proposta de aperfeiçoamento da mente. Em seguida, procurou-se identificar a seleção dos elementos constituintes desse harmônico edifício construído pelo diálogo entre observações, experimentos e imagens mentais, o que conduziria aos estudos sobre as relações entre eletromagnetismo e luz. Por último, foram abordadas as atividades de Faraday na divulgação da ciência em sua época, verificando-se a coerência com os princípios seguidos em todo o curso de sua vida. Para isso foram analisados os escritos de Michael Faraday (1791-1867) em seu diário, intitulado Faraday s Diary: Being the Various Philosophical Notes of Experimental Investigation. Além disso, analisou-se o Experimental Researches in Electricity. Consultamos, ainda, trechos de sua correspondência, além de outras obras

An X band dual polarized slotted waveguide antenna array is designed with very high polarization purity for both horizontal and vertical polarizations. Horizontally polarized radiators are designed using a novel non-inclined edge wall slots whereas the vertically polarized slots are implemented using broad wall slots opened on baffled single ridge rectangular waveguides. Electromagnetic model based on an infinite array unit cell approach is introduced to characterize the slots used in the array. 20 by 10 element planar array of these slots is manufactured and radiation fields are measured. The measurement results of this array are in very good accordance with the simulation results. The dual polarized antenna possesses a low sidelobe level of -35 dB and is able to scan a sector of &plusmn / 35 degrees in elevation. It also has a usable bandwidth of 600 MHz.

The existence and -if exists- the nature of the solutions of the scalar wave equation in spacetimes with closed timelike curves are investigated. The general properties of the solutions on some class of spacetimes are obtained. Global monochromatic solutions of the scalar wave equation are obtained in flat wormholes of dimensions 2+1 and 3+1. The solutions are in the form of infinite series involving cylindirical and spherical wave functions and they are elucidated by the multiple scattering method. Explicit solutions for some limiting cases are illustrated as well. The results of 2+1 dimensions are verified by using numerical methods.

In recent years a new class of materials, the metamaterials, has emerged in the scientific community. The use of these materials makes possible to achieve unique electromagnetic properties, such as the negative refractive index. Today there exist several applications that take advantage of these special properties, such as sensors, antennas and invisibility cloaks, aiming at improving their intrinsic characteristics. Based on these considerations, this project aims at developing metamaterials structures to control the radiation properties of antennas in the microwave range, such as gain and directivity. More specifically, it was also chosen chiral metamaterials, mainly due to the phenomenon of electromagnetic field rotation which opens the possibility to control efficiently the radiation properties of antennas. In addition, chiral metamaterials, which have proved to be a more attractive alternative to obtain negative or zero refractive index, enable a greater degree of freedom in the design of different structures. This work encompasses all different phases of the structure design, namely: project, computational modeling, fabrication, and characterization of the proposed structures. We show improvements for the gain that in some cases reaches more than the double of the conventional monopole antenna gain and for the return loss parameter, which reaches minimum values. We also could maintain good efficiency and improve the input impedance matching. Finally, it is worth mentioning that this new technology also has the great potential to be applied in the telecommunication devices, particularly to improve communications based on antennas. / Nos últimos anos uma nova classe de materiais, os metamateriais, emergiu na comunidade científica. O uso desses materiais torna possível alcançar propriedades eletromagnéticas singulares, como o índice de refração negativo. Hoje existem vastas aplicações que usufruem destas propriedades especiais, como os sensores, mantas de invisibilidade e antenas, onde se procura o aperfeiçoamento de suas características intrínsecas. Com base nestas considerações, este projeto buscou desenvolver estruturas metamateriais para controle das propriedades de radiação de antenas na faixa de micro-ondas, tais como diretividade e ganho. Mais especificamente, foram utilizados os metamateriais quirais, principalmente devido ao fenômeno de rotação do campo eletromagnético que abre a possibilidade de controle mais eficiente das propriedades de radiação de antenas. Além disso, os metamateriais quirais, por se mostrarem uma alternativa mais atraente para se obter meios com índice de refração zero ou negativo, possibilitam um maior grau de liberdade no projeto de diferentes estruturas. Este trabalho contempla, ainda, todas as etapas de projeto de tais estruturas, quais sejam: projeto, modelagem computacional, fabricação, e caracterização das estruturas. Mostramos melhorias para o ganho que, em alguns casos, chega a mais do que o dobro do ganho da antena monopolo convencional e para o parâmetro de perda de retorno, que atinge valores mínimos. Nós também mantivemos uma boa eficiência e melhoramos o casamento de impedância de entrada. Finalmente, vale salientar que essa nova tecnologia também apresenta grande potencial de ser aplicada em dispositivos de telecomunicações, com o intuito de aprimorar a comunicação baseada em antenas.

[pt] Neste trabalho, um - software - foi desenvolvido para prover predições do sinal em ambientes exteriores e interiores. O programa inclui dois diferentes modelos de propagação. Para situações urbanas com antenas baixas (Microcélulas) e para situações urbanas onde o receptor pode ser posicionado numa área - indoor - e o transmissor numa área urbana ( - outdoor -). O procedimento automatizado combina técnicas de várias diferentes disciplinas, incluindo computação gráfica e teoria eletromagnética assintótica, para reduzir o tempo de computação sem comprometer a precisão. Usando técnicas de computação gráfica, o tempo necessário para o lançamento de raios através da geometria urbana é grandemente reduzido. Os dados teóricos foram testados e validados por comparação com dados experimentais. Para modelar os diferentes mecanismos de propagação, a aproximação eletromagnética usada foi a OG/UTD. / [en] In this work, a software tool has been developed that provides accurate, sitespecific radio signal predictions for outdoor to indoor/outdoor locations. The program includes two different propagation models. For urban calculations with low antennas (Microcells) and for urban situations where receiver can be located at indoor area and transmitter antennas can be located at Urban area (outdoor). The software combines techniques from several different disciplines, including computer graphics and asymptotic electromagnetic theory, to reduce the calculation time without compromising accuracy. Using computer graphics techniques, the time necessary for shooting the rays through the urban geometry is greatly reduced. The calculation engine used has been tested and validated by comparison with measured data. In order to model the diferent propagation mechanisms, the eletromagnetic approach considered has been the GO/UTD combination.