A rigorous analysis based upon the extinction theorem is presented to study anomalous resonance effects from single- and multilayer-overcoated, low-efficiency diffraction gratings. Anomalously high diffraction efficiency at resonance results from the coupling of the incident beam into guided waves that can be propagated within the composite structure. Both the traditional characteristic matrix technique and a recursive or R-matrix propagation technique are presented. The R-matrix propagation algorithm was found to be stable numerically, and computational results agree favorably with both experimental and other theoretical work. Numerical results are presented in order to investigate the influence of certain parameters (i.e., groove depth and shape and the number of high- and low-index overlayers) on the diffraction efficiency at resonance. In this analysis, a wavelength of 0.6328 μm and grating period of 0.7 μm were chosen so that only a -1 diffracted order other than the specular is reflected from the gratings. Perfect transfer of the grating relief to the film boundaries does not occur in all instances; it depends on the grating and film characteristics together with the conditions during deposition. Investigated in this work is the effect of nonreplication of the grating profile at film interfaces on anomalous diffraction; a transition from trapezoidal profile at the grating substrate to a rounded relief at the top surface of the multilayer structure is assumed. For the cases studied, it was found that nonreplication has the effect of reducing the strength of the resonance outcoupling. Finally, experimental results on anomalous resonance effects for multilayer-coated gratings are presented. Good agreement with computational results was attained.

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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

Orientador: Marcio José Menon / Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Física Gleb Wataghin / Made available in DSpace on 2018-09-03T06:43:58Z (GMT). No. of bitstreams: 1 Silva_PauloVictorRecchiaGomesDa_D.pdf: 2099457 bytes, checksum: 1ee131514df28d70491b1009310811be (MD5) Previous issue date: 2017 / Resumo: A Cromodinâmica Quântica (QCD) constitui a teoria quântica de campos da interação forte. Apesar do seu sucesso na descrição de diversos processos envolvendo hádrons, o espalhamento elástico ainda é um desafio para a teoria. Este processo é caracterizado por pequeno momento transferido e, nessa escala, não é possível utilizar a abordagem perturbativa. Embora resultados não-perturbativos tenham sido obtidos recentemente, ainda não possuímos uma descrição completa (para qualquer energia e momento transferido) no âmbito da QCD para grandezas físicas associadas ao espalhamento elástico, por exemplo, a seção de choque total ($\sigmatot$), o parâmetro $\rho$, a seção de choque elástica ($\sigmael$) e a seção de choque diferencial. As descrições dos dados experimentais associados baseiam-se em abordagens empíricas e fenomenológicas tais como o Formalismo de Regge-Gribov e modelos inspirados em QCD. Desde o início das operações do LHC, nós tivemos a oportunidade de estudar essas grandezas nas energias mais altas disponíveis em experimentos de aceleradores, especificamente 7 e 8 TeV para o espalhamento próton-próton ($pp$). Nesta tese, o interesse principal é a dependência com a energia de três grandezas, especificamente a razão $X=\sigmael/\sigmatot$, $\sigmatot$ e o parâmetro $\rho$, ou seja, o comportamento destas grandezas em energias altas e assintóticas, bem como a influência de contribuições sub-dominantes para $\sigmatot$. Estes tópicos estão divididos em três estudos independentes, mas complementares, envolvendo aspectos empíricos, fenomenológicos e teóricos. No primeiro tópico, desenvolvemos uma análise empírica da razão $\sigmael/\sigmatot$, a qual está relacionada com a função perfil com parâmetro de impacto nulo (opacidade hadrônica central). Através de parametrizações apropriadas, com um número pequeno de parâmetros livres, obtivemos boas descrições dos dados experimentais dos espalhamentos $pp$ e antipróton-próton ($\ppbar$). A partir dos ajustes aos dados utilizando quatro variantes, concluímos que o cenário assintótico de disco negro não é a única solução e, além disso, os resultados favorecem um cenário de disco cinza. No segundo tópico, estudamos o crescimento de $\sigmatot$ em função da energia através de parametrizações baseadas no formalismo de Regge-Gribov e testamos dois termos dominantes, um logaritmo ao quadrado e um logaritmo elevado a um número real $\gamma$, onde $\gamma$ é um parâmetro livre de ajuste. Adicionalmente, discutimos dois métodos analíticos para conectar as partes real e imaginária da amplitude de espalhamento elástico, especificamente Relações de Dispersão Derivativas (RDD) e Unicidade Assintótica (UA), os quais resultam em diferentes parametrizações para $\sigmatot$ e parâmetro $\rho$. Por sua vez, essas diferenças são também discutidas. Os resultados favorecem a método RDD tanto no contexto formal, quanto no contexto prático. A recente tensão entre os dados das Colaborações TOTEM e ATLAS em 7 e 8 TeV também é discutida e considerada nas reduções de dados. No terceiro e último tópico, dois termos subdominantes de $\sigmatot$ obtidos em uma abordagem não-perturbativa da QCD para o espalhamento elástico são considerados em ajustes aos dados de $pp$ e $\ppbar$, bem como em ajustes aos dados de outras reações bárion-bárion e méson-bárion. Nesta análise, com um parâmetro extra e com informações teóricas adicionais, também obtemos um cenário assintótico de disco cinza / Abstract: Quantum Chromodynamics (QCD) constitutes the quantum field theory of the strong interaction. Despite the success of this theory in the description of several processes involving hadrons, the elastic scattering is still a theoretical challenge. This process is characterized by a small transferred momentum and, in this range, the perturbative techniques are not applicable. Although nonperturbative results have been obtained in recent years, we still do not have a full description within QCD of the quantities related to the elastic scattering, valid for all the energies and transferred momentum, for example, the total cross section ($\sigmatot$), the $\rho$ parameter, the elastic cross section ($\sigmael$) and the differential cross section. The attempts to describe experimental data rely on empirical and phenomenological approaches such as Regge-Gribov Formalism and QCD inspired models. Since the start of Run 1 at the LHC, we have the opportunity to study the quantities above in the largest energies available in accelerator experiments, namely 7 and 8 TeV for proton-proton ($pp$) scattering. In this thesis, the main interest is in the energy dependence of three quantities, the ratio $X=\sigmael/\sigmatot$, the $\sigmatot$ and the $\rho$ parameter, namely the behaviour at high and asymptotic energies, as well as the influence of sub-leading contributions to $\sigmatot$. These topics are divided into three different, but complementary studies, involving empirical, phenomenological and theoretical aspects. In the first topic, we develop an empirical analysis on the ratio $\sigmael/\sigmatot$, a quantity related to the profile function at impact parameter zero (the hadronic central opacity). By means of suitable parameterizations, with a small number of free parameters, we have obtained good descriptions of the experimental data on $pp$ and antiproton-proton ($\ppbar$) data. From the fits with four variants, we conclude that the asymptotic black-disk scenario is not a unique solution and, moreover, the results favour a grey-disk scenario. In the second topic, we study the rise of $\sigmatot$ with the energy through parameterizations based on the Regge-Gribov formalism and we consider two options for the leading terms: a log-square and a log-raised-to-$\gamma$, with $\gamma$ a free fit parameter. In addition, we discuss two analytic methods to connect the real and imaginary parts of the elastic scattering amplitude, namely Derivative Dispersion Relations (DDR) and Asymptotic Uniqueness (AU), which lead to different parameterizations for $\sigmatot$ and the $\rho$ parameter; these differences are critically discussed. The results favour the DDR method in both formal and practical contexts. The recent tension between the TOTEM and ATLAS data at 7 and 8 TeV is discussed and considered in the data reductions. In the third topic, two sub-leading terms for $\sigmatot$, obtained in a nonperturbative QCD approach to the elastic scattering, are considered in fits to $pp$ and $\ppbar$ data and also in fits to data from meson-baryon and other baryon-baryon scattering. In this analysis, with an extra parameter, and with theoretical inputs, we also obtain an asymptotic grey-disk scenario for the colliding particles / Doutorado / Física / Doutor em Ciências / 152985/2013-1 / 2013/27060-3, 2015/21855-0 / CNPQ / FAPESP

In this thesis, two studies of the diffractive phenomena in the electron proton collisions with the H1 detector at HERA are presented.<p>The first is the study of the inclusive elastic diffractive events $ep \ / Doctorat en Sciences / info:eu-repo/semantics/nonPublished