Este trabalho tem por objetivo a modelagem numérica das fibras microestruturadas e a proposição de dispositivos inovadores com base nos modelos numéricos construídos. Primeiramente, são implementados dois formalismos distintos: o FDTD (do inglês Finite Diference Time Domain) para a geração dos diagramas de bandas dos cristais fotônicos e o SOR (do inglês Successive Over Relaxation) para a análise modal das fibras. A partir destes modelos, são propostas três aplicações distintas que utilizam as propriedades inovadoras das fibras microestruturadas, a saber: compensador de dispersão a fibra com capacidade de compensar um enlace óptico com cerca de vinte vezes seu comprimento, amplificador Raman com alto ganho óptico e isolador óptico a fibra microestruturada. / The goal of this work is the numerical modeling of microstructured optical fibers and the proposition of novel applications using the model developed. First, two distinct formalisms are implemented, the Finite Difference Time Domain Method (FDTD) to generate the photonic crystal band diagrams and the Successive Over Relaxation method (SOR) to carry out modal analysis on the microstructured optical fibers. By means of these models, three applications are investigated: high performance dispersion compensation fiber, high gain Raman amplifier and microstructured optical fiber isolator.

Este trabalho tem por objetivo o estudo de dispersão de pulsos ultracurtos em estruturas metamateriais para a faixa de micro-ondas. Como é bem sabido, os metamateriais são estruturas altamente dispersivas em qualquer faixa de frequências. Essas características dispersivas são normalmente tratadas como deletérias para a propagação de pulsos. Entretanto, nesta dissertação é demonstrado que essas mesmas características podem produzir efeitos benéficos em certas aplicações. Para isso é realizada uma análise teórica detalhada das características de dispersão de células metamateriais de diferentes geometrias. Adicionalmente, é investigada a propagação de um pulso gaussiano em meios metamateriais infinitos com o objetivo de melhor compreender fenomenologia por trás dos efeitos de dispersão nesses materiais. É também apresentado um novo procedimento de homogeneização de metamateriais que permite descrever estes meios de maneira mais precisa e com menor custo computacional que métodos encontrados na literatura. Esse método é baseado em modelos materiais conhecidos, como os de Lorentz e Drude. Este trabalho também apresenta uma nova abordagem para compressão de pulsos e compensação de dispersão por meio da propagação de pulsos de micro-ondas chirpados em metamateriais no regime de refração negativa. Para conseguir esse efeito, são investigadas placas de metamateriais com espessuras de 1, 3, 5 e 7 células metamateriais utilizando o método das diferenças finitas no domínio do tempo (FDTD) juntamente com técnicas de extração de parâmetros. É demonstrado que com o controle do chirp inicial do pulso, em associação com a densidade/geometria das células metamateriais e de sua resposta em frequência, é possível não só compensar o alargamento temporal desses pulsos devido à dispersão cromática como também realizar a compressão temporal por um fator de 2. / The goal of this work is to study the dispersion of ultra-short microwave pulses in metamaterials structures. It is well known that metamaterials are highly dispersive structures in any frequency range. These dispersive characteristics are normally treated as deleterious to pulse propagation. However, in this dissertation it is demonstrated that these characteristics can produce beneficial effects in certain applications. This assertion is addressed through a theoretical analysis of the dispersion of metamaterials cells of different geometries. In addition, it is investigated the propagation of a gaussian pulse through an infinite homogeneous metamaterial structure aiming at improving our understanding of the phenomenology behind dispersion effects in such media. It is also presented a new homogenization procedure for metamaterials that allows these media to be described in a more realistic manner and with computational cost lower than those currently found in the literature. This procedure is based on well known material models, such as Drude and Lorentz models. This work also introduces an efficient technique for pulse compression and dispersion compensation via propagation of chirped microwave pulses through metamaterials in the negative refraction regime. To accomplish this, it is investigated infinitely wide metamaterial slabs with thicknesses of 1, 3, 5, and 7 cells with a finite difference in time domain method together with a parameter extraction technique. It is demonstrated that by controlling the chirp of the initial pulse, in association with the metamaterial cell density/geometry and frequency response, it is possible not only to compress the pulse (by a factor of 2), but also to compensate pulse broadening due to chromatic dispersion.

This dissertation develops an unclocked receiver analog decision-feedback equalizer (ADFE) circuit architecture and topology and implements the circuit in 0.18-um CMOS to enable 10-Gb/sec serial baseband data transmission over FR-4 backplane and optical fibre. The ADFE overcomes the first feedback-loop latency challenge of traditional digital and mixed-signal DFEs by separating data re-timing from equalization and also eliminates the need for clock-recovery prior to decision-feedback equalization. The ADFE enables 10-Gb/sec decision-feedback equalization using a 0.18-um CMOS process, the first to do so to the author s knowledge. A tuneable current-mode-logic (CML) feedback-loop is designed to enable first post-cursor cancellation for a range of data-rates and to have external control over loop latency over variations in process, voltage and temperature. CML design techniques are used to minimize current consumption and achieve the required voltage swing for decision-feedback to take place. The all-analog equalizer consumes less power and area than comparable state-of-the art DFEs. The ADFE is used to compensate inter-symbol interference (ISI) for 20 inches of FR-4 backplane and 300 m of multi-mode fibre at 10-Gb/sec. The ADFE also extends the reach of single-mode fibre at 10-Gb/sec to 120 km. The work described in this dissertation advances the state-of-the-art in equalization solutions for multi-Gb/sec serial data transmission and can find applications in several of the 10-Gb/sec Ethernet standards that have been approved recently. The contributions of this work toward future research are also discussed.

Este trabalho tem por objetivo a modelagem numérica das fibras microestruturadas e a proposição de dispositivos inovadores com base nos modelos numéricos construídos. Primeiramente, são implementados dois formalismos distintos: o FDTD (do inglês Finite Diference Time Domain) para a geração dos diagramas de bandas dos cristais fotônicos e o SOR (do inglês Successive Over Relaxation) para a análise modal das fibras. A partir destes modelos, são propostas três aplicações distintas que utilizam as propriedades inovadoras das fibras microestruturadas, a saber: compensador de dispersão a fibra com capacidade de compensar um enlace óptico com cerca de vinte vezes seu comprimento, amplificador Raman com alto ganho óptico e isolador óptico a fibra microestruturada. / The goal of this work is the numerical modeling of microstructured optical fibers and the proposition of novel applications using the model developed. First, two distinct formalisms are implemented, the Finite Difference Time Domain Method (FDTD) to generate the photonic crystal band diagrams and the Successive Over Relaxation method (SOR) to carry out modal analysis on the microstructured optical fibers. By means of these models, three applications are investigated: high performance dispersion compensation fiber, high gain Raman amplifier and microstructured optical fiber isolator.

Este trabalho tem por objetivo o estudo de dispersão de pulsos ultracurtos em estruturas metamateriais para a faixa de micro-ondas. Como é bem sabido, os metamateriais são estruturas altamente dispersivas em qualquer faixa de frequências. Essas características dispersivas são normalmente tratadas como deletérias para a propagação de pulsos. Entretanto, nesta dissertação é demonstrado que essas mesmas características podem produzir efeitos benéficos em certas aplicações. Para isso é realizada uma análise teórica detalhada das características de dispersão de células metamateriais de diferentes geometrias. Adicionalmente, é investigada a propagação de um pulso gaussiano em meios metamateriais infinitos com o objetivo de melhor compreender fenomenologia por trás dos efeitos de dispersão nesses materiais. É também apresentado um novo procedimento de homogeneização de metamateriais que permite descrever estes meios de maneira mais precisa e com menor custo computacional que métodos encontrados na literatura. Esse método é baseado em modelos materiais conhecidos, como os de Lorentz e Drude. Este trabalho também apresenta uma nova abordagem para compressão de pulsos e compensação de dispersão por meio da propagação de pulsos de micro-ondas chirpados em metamateriais no regime de refração negativa. Para conseguir esse efeito, são investigadas placas de metamateriais com espessuras de 1, 3, 5 e 7 células metamateriais utilizando o método das diferenças finitas no domínio do tempo (FDTD) juntamente com técnicas de extração de parâmetros. É demonstrado que com o controle do chirp inicial do pulso, em associação com a densidade/geometria das células metamateriais e de sua resposta em frequência, é possível não só compensar o alargamento temporal desses pulsos devido à dispersão cromática como também realizar a compressão temporal por um fator de 2. / The goal of this work is to study the dispersion of ultra-short microwave pulses in metamaterials structures. It is well known that metamaterials are highly dispersive structures in any frequency range. These dispersive characteristics are normally treated as deleterious to pulse propagation. However, in this dissertation it is demonstrated that these characteristics can produce beneficial effects in certain applications. This assertion is addressed through a theoretical analysis of the dispersion of metamaterials cells of different geometries. In addition, it is investigated the propagation of a gaussian pulse through an infinite homogeneous metamaterial structure aiming at improving our understanding of the phenomenology behind dispersion effects in such media. It is also presented a new homogenization procedure for metamaterials that allows these media to be described in a more realistic manner and with computational cost lower than those currently found in the literature. This procedure is based on well known material models, such as Drude and Lorentz models. This work also introduces an efficient technique for pulse compression and dispersion compensation via propagation of chirped microwave pulses through metamaterials in the negative refraction regime. To accomplish this, it is investigated infinitely wide metamaterial slabs with thicknesses of 1, 3, 5, and 7 cells with a finite difference in time domain method together with a parameter extraction technique. It is demonstrated that by controlling the chirp of the initial pulse, in association with the metamaterial cell density/geometry and frequency response, it is possible not only to compress the pulse (by a factor of 2), but also to compensate pulse broadening due to chromatic dispersion.

Amplitude and phase modulated optical OFDM (Orthogonal Frequency Division Multiplexing) are analyzed in a 50GBit/s single channel and 40GBit/s 5 channel 512 subcarrier non-ideal dispersion-compensated fiber optic communication systems. PM-OFDM is investigated as an alternative to AM-OFDM to alleviate the problem associated with amplitude-modulated signals in a nonlinear medium. The inherent dispersion compensation capability in OFDM (using a cyclic prefix) allows transmission over a link whose dispersion map is not exactly known. OFDM also mitigates the effects of dispersion slope in wavelength-division multiplexed (WDM) systems. Moreover, the overall dispersion throughout the transmission link may vary due to environmental effects and aging. OFDM is inherently tolerant to over- or under-compensation and dispersion slope mismatch. OFDM transmission over dispersive, non-dispersion managed fiber links using OFDM requires an overhead in excess of the maximum accumulated dispersion. Existing WDM systems usually employ periodic dispersion management. OFDM in these systems requires a smaller overhead. It is, however, more susceptible to nonlinearity due to the coherent beating of subcarriers after each dispersion-compensated span. The large variation in intensity associated with amplitude-modulated OFDM makes this modulation format more susceptible to nonlinear effects in fiber compared to phase-modulated signals. This holds true unless dispersion and EDFA noise lead to amplitude variations strong enough for PM-OFDM to be degraded by nonlinear effects as well. In conclusion OFDM is beneficial for non-ideal dispersion managed systems. PM-OFDM can further improve the performance.

Este trabalho de doutoramento propôs investigar novas configurações geométricas para as fibras ópticas microestruturadas a base de sílica. Aproveitando-se da flexibilidade que sua geometria proporciona, diferentes das fibras ópticas convencionais, foram propostas fibras ópticas microestruturadas com perfil tipo D atuando, especificamente, em duas aplicações distintas: fibras compensadoras de dispersão ou fibras altamente birrefringentes. Para o estudo teórico das fibras ópticas microestruturadas foram utilizados dois métodos numéricos: o método da Sobre-Relaxação Sucessiva (SOR) e o método de Arnoldi Implicitamente Reiniciado (IRAM). Foi necessário implementar o método IRAM para determinar os modos de mais alta ordem presentes em guias de onda multimodos, uma vez que o método SOR fornece apenas a solução para o modo fundamental. Neste contexto, as fibras ópticas microestruturadas com perfil D, propostas e investigadas neste trabalho, demonstraram ser extremamente promissoras para atuar na compensação da dispersão cromática ou no aumento do efeito da birrefringência. Foram projetadas fibras capazes de compensar a dispersão em banda larga, cobrindo as bandas de telecomunicações S, C e L, ou, ainda, fibras com um alto coeficiente de dispersão negativo em torno do comprimento de onda de 1550nm. Adicionalmente, verificou-se também que com as novas configurações propostas foi possível projetar fibras com elevado grau de birrefringência, sendo atrativas no projeto de fibras mantedoras do estado de polarização. / This work proposed to investigate new geometric configurations for the silica microstructured optical fibers. Based on their design flexibility, not usually found in conventional silica fibers, D-shape microstructured optical fibers were designed, specifically, for two different applications: dispersion compensation or high birefringence. For the theoretical analysis two numerical methods were used: the finite difference Successive Over Relaxation (SOR) method, and the Implicitly Restarted Arnoldi Method (IRAM). It was necessary to develop the IRAM method to determine the higher order modes inside the multimodo optical waveguide, since the SOR method is able to yield only the fundamental mode. In this framework, the D-shape microstructured optical fibers, which have been proposed and investigated in this work, proved to be extremely efficient for chromatic dispersion compensation and increasing the birefringent effect. Fibers have been designed in order to compensate the wideband dispersion, covering three entire telecommunication bands, namely: S-, C- and L- bands, simultaneously. Additionally, with these new proposed configurations it is possible to design high birefringent fibers, which are very attractive in polarization maintaining applications.

Besides attenuation, dispersion is the major limiting factor in high data rate fiber optical transmission systems. Dispersion compensation techniques have to be deployed in order to increase the data bandwidth or the reach of fiber optical links. Typically fixed value dispersion compensators are used. However at channel bit rates of 40 GBit/s and beyond adjustable residual dispersion compensator modules (DCM) are needed to guarantee an error free transmission under changing environmental conditions. In this thesis dispersion techniques were investigated which exploit the special propagation properties of higher order modes in custom-designed optical fibers. After a short introduction of state-of-the-art dispersion techniques and their parameters (chapter 2) the modeling and calculation of propagation properties of a particular mode in an optical fiber with an arbitrary, rotation-symmetric refractive index profile is shown (chapter 3). A converter from the fundamental mode and back is needed in order to exploit the propagation properties of a higher order mode (HOM). In this work long-period gratings (LPG) were considered as mode converters (chapter 4) as they can excite selective and nearly lossless a higher order mode. The modeling und calculation of these gratings, based on the fiber calculation of chapter 3, is presented in the first part of chapter 4. Afterwards the manufacturing methods developed during this work are introduced. The spectral properties of realized long-period gratings are discussed and the influence of such factors as strain and temperature on tuning the mode conversion is shown. A dispersion compensator type utilizing only the waveguide dispersion of a certain mode in a custom few mode fiber (FMF) is the subject of chapter 5. The working principle, the fiber design process and first measurements of a realized HOM-DCM with almost completely coupling FMF-LPG are presented. Subsequently the principle of a novel dispersion compensator with an arbitrary dispersion function for a higher or the fundamental mode is explained. In chapter 6 another type of dispersion compensator is investigated consisting of equally distributed long-period gratings along an optical fiber. The fiber pieces between the gratings create a certain time delay between the fundamental mode and the considered higher order mode. It is shown in simulations and in an experiment, that by tuning the mode conversion of each grating and the optical phase relation between the two signal paths in each fiber piece this finite impulse filter structure is so adjusted to function as a tunable residual dispersion compensator.

Este trabalho de doutoramento propôs investigar novas configurações geométricas para as fibras ópticas microestruturadas a base de sílica. Aproveitando-se da flexibilidade que sua geometria proporciona, diferentes das fibras ópticas convencionais, foram propostas fibras ópticas microestruturadas com perfil tipo D atuando, especificamente, em duas aplicações distintas: fibras compensadoras de dispersão ou fibras altamente birrefringentes. Para o estudo teórico das fibras ópticas microestruturadas foram utilizados dois métodos numéricos: o método da Sobre-Relaxação Sucessiva (SOR) e o método de Arnoldi Implicitamente Reiniciado (IRAM). Foi necessário implementar o método IRAM para determinar os modos de mais alta ordem presentes em guias de onda multimodos, uma vez que o método SOR fornece apenas a solução para o modo fundamental. Neste contexto, as fibras ópticas microestruturadas com perfil D, propostas e investigadas neste trabalho, demonstraram ser extremamente promissoras para atuar na compensação da dispersão cromática ou no aumento do efeito da birrefringência. Foram projetadas fibras capazes de compensar a dispersão em banda larga, cobrindo as bandas de telecomunicações S, C e L, ou, ainda, fibras com um alto coeficiente de dispersão negativo em torno do comprimento de onda de 1550nm. Adicionalmente, verificou-se também que com as novas configurações propostas foi possível projetar fibras com elevado grau de birrefringência, sendo atrativas no projeto de fibras mantedoras do estado de polarização. / This work proposed to investigate new geometric configurations for the silica microstructured optical fibers. Based on their design flexibility, not usually found in conventional silica fibers, D-shape microstructured optical fibers were designed, specifically, for two different applications: dispersion compensation or high birefringence. For the theoretical analysis two numerical methods were used: the finite difference Successive Over Relaxation (SOR) method, and the Implicitly Restarted Arnoldi Method (IRAM). It was necessary to develop the IRAM method to determine the higher order modes inside the multimodo optical waveguide, since the SOR method is able to yield only the fundamental mode. In this framework, the D-shape microstructured optical fibers, which have been proposed and investigated in this work, proved to be extremely efficient for chromatic dispersion compensation and increasing the birefringent effect. Fibers have been designed in order to compensate the wideband dispersion, covering three entire telecommunication bands, namely: S-, C- and L- bands, simultaneously. Additionally, with these new proposed configurations it is possible to design high birefringent fibers, which are very attractive in polarization maintaining applications.

Besides attenuation, dispersion is the major limiting factor in high data rate fiber optical transmission systems. Dispersion compensation techniques have to be deployed in order to increase the data bandwidth or the reach of fiber optical links. Typically fixed value dispersion compensators are used. However at channel bit rates of 40 GBit/s and beyond adjustable residual dispersion compensator modules (DCM) are needed to guarantee an error free transmission under changing environmental conditions. In this thesis dispersion techniques were investigated which exploit the special propagation properties of higher order modes in custom-designed optical fibers. After a short introduction of state-of-the-art dispersion techniques and their parameters (chapter 2) the modeling and calculation of propagation properties of a particular mode in an optical fiber with an arbitrary, rotation-symmetric refractive index profile is shown (chapter 3). A converter from the fundamental mode and back is needed in order to exploit the propagation properties of a higher order mode (HOM). In this work long-period gratings (LPG) were considered as mode converters (chapter 4) as they can excite selective and nearly lossless a higher order mode. The modeling und calculation of these gratings, based on the fiber calculation of chapter 3, is presented in the first part of chapter 4. Afterwards the manufacturing methods developed during this work are introduced. The spectral properties of realized long-period gratings are discussed and the influence of such factors as strain and temperature on tuning the mode conversion is shown. A dispersion compensator type utilizing only the waveguide dispersion of a certain mode in a custom few mode fiber (FMF) is the subject of chapter 5. The working principle, the fiber design process and first measurements of a realized HOM-DCM with almost completely coupling FMF-LPG are presented. Subsequently the principle of a novel dispersion compensator with an arbitrary dispersion function for a higher or the fundamental mode is explained. In chapter 6 another type of dispersion compensator is investigated consisting of equally distributed long-period gratings along an optical fiber. The fiber pieces between the gratings create a certain time delay between the fundamental mode and the considered higher order mode. It is shown in simulations and in an experiment, that by tuning the mode conversion of each grating and the optical phase relation between the two signal paths in each fiber piece this finite impulse filter structure is so adjusted to function as a tunable residual dispersion compensator.