Observational data are analyzed and decomposed to reveal internal ocean waves and their interactions with one another. Particularly, the interaction of small-scale internal waves with a large inertia wave packet is examined. Using the governing internal wave equations, an analysis is made of the energy propagation of a small scale internal wave with a large-scale inertia wave. With that, an assessment is made of the frequency of occurrence of various encounter types. Next, the possibility of energy transfer during an interaction is explored. The relative energy of the small wave before interacting with the large-scale inertia wave is calculated and compared to the relative energy during and after the interaction. Performing this analysis on multiple wave-wave interactions seen within the observational data set provides a look into the behavior of these wave types. Additionally, the dissipation within each of the corresponding time-space regions is calculated, giving an alternative explanation other than energy transfer among waves for the disparity in energy. Dissipation estimates and energy results are extrapolated to create a general energy transfer and dissipation estimate in the ocean resultant from these interaction types. A two dimensional non-linear method presents a comparison between the observational data findings and the expected computed result. From there, conclusions are drawn synthesizing the results from the observational and numerical analyses. It was concluded that for observational small waves propagating in the same direction as the background shear, a loss was seen in the wave's energy. For interactions wherein the small wave propagated in the opposite direction, the observational small wave energy increased through the interaction. Within the numerical findings, the small wave energy in same direction interactions was partially lost while the small wave energy in opposite direction interactions was both lost and gained depending on the encounter type which encounter types could be confirmed in observations. The dissipation analysis showed the greatest dissipation during the interaction between a small wave and background shear so the gains seen occurred when the types of encounters expecting a gain were present.

Quantum coherence and interference (QCI) is a phenomenon that takes place in all multi-level atomic systems interacting with multiple lasers. In this work QCI is used to create several interesting effects like lasing without inversion (LWI), controlling group velocity of light to extreme values, controlling the direction of propagation through non-linear phase matching condition and for controlling the correlations in field fluctuations. Controlling group velocity of light is very interesting because of many novel applications it can offer. One of the unsolved problems in this area is to achieve a slow and fast light which can be tuned continuously as a function of frequency. We describe a method for creation of tunable slow and fast light by controlling intensity of incident laser fields using QCI effects. Lasers are not new to the modern world but an extreme ultra-violet laser or a x-ray laser is definitely one of the most desirable technologies today. Using QCI, we describe a method to realize lasing at high frequencies by creating lasing without inversion. Role of QCI in creating correlations and anti-correlations, which are generated by vacuum fluctuations, in a three level lambda system coupled to two strong fields is discussed.

Properties of coherent media in the regime of electromagnetically induced transparency (EIT) are studied. A study of the shape and width of the EIT resonance is presented for coherent media with buffer gas. Observation of an absorption-like resonance for large one-photon detunings in a medium with buffer gas and its properties are shown. The regime of ``slow'' and ``fast'' group velocities are studied. Observation of narrow resonances with a phase broadened probe field is presented, and possible application of this regime are outlined.

A fotônica em silício é um campo de pesquisas emergente com grande potencial para contribuir com a resolução de alguns dos problemas tecnológicos da atualidade. O gargalo imposto por interconexões metálicas na expansão da taxa de transmissão de dados em sistemas de comunicação como os de computadores de alto desempenho talvez seja um dos maiores desafios a serem superados. A propagação de luz em baixas velocidades de grupo e com controle de dispersão é uma das linhas de pesquisa atuais nas quais se busca explorar de forma mais eficiente as propriedades ópticas do silício, e assim, aumentar a compatibilidade entre componentes fotônicos e a tecnologia CMOS (Complementary Metal- Oxide-Semiconductor) por meio da diminuição das dimensões e do consumo de energia de componentes ópticos ativos. Dessa forma, espera-se diminuir os custos de fabricação e viabilizar a produção em larga escala de dispositivos integrados optoeletrônicos, que poderiam ser utilizados em sistemas de comunicação de curtas distâncias e assim ampliar a largura de banda disponível. Investigações recentes têm demonstrado que a fabricação de dispositivos baseados em cristais fotônicos planares possui grande potencial para controlar simultaneamente a velocidade de grupo e a dispersão, além de permitir a redução do tamanho de elementos como curvas, divisores de potência e cavidades ressonantes devido ao efeito do confinamento dos campos através do bandgap fotônico. Dessa forma, esse trabalho aborda um estudo sobre a integração monolítica entre guias de onda, curvas de 60º e junções em Y que operam em baixas velocidades de grupo e com reduzida dispersão, construídos em cristais fotônicos planares formados por uma matriz periódica de furos em uma membrana de silício suspensa em ar. Essa investigação englobou atividades bastante intensivas, tanto de simulações por métodos numéricos, como de processos de fabricação dedicados à nanofotônica, assim como de caracterizações ópticas. Ao longo das discussões são identificados e analisados os mecanismos que afetaram de forma mais crítica a eficiência dos dispositivos propostos. Também foram avaliados os maiores problemas enfrentados nos processos de fabricação, e suas possíveis soluções foram apontadas. Os resultados demonstraram a possibilidade teórica de realizar tal integração de forma eficiente. O melhor entendimento sobre a relação entre a dispersão e os parâmetros geométricos dos guias de onda permitiram modelar curvas e divisores de potência que exibiram, respectivamente, larguras de banda em torno de 56 e 40 nm, cobrindo regiões do espectro com elevados índices de grupo. Foi possível fabricar cristais fotônicos com uma qualidade próxima das já reportadas na literatura sobre o tema e assim foram estabelecidas bases bastante sólidas para a fabricação de tais dispositivos localmente, sem a necessidade expressa de acessar centros de fabricação no exterior. / Silicon photonics is an emerging research field that has great potential to contribute to solving some of the technological problems nowadays. Maybe, one of the greatest challenges to be overcome is the bottleneck imposed by electrical interconnections in the expansion of the bandwidth of communication systems such as those of high performance computers. Slow light propagation in dispersionless media is a hot topic in the current research fields that seek to more efficiently explore the silicon optical properties, and thus, increase the compatibility between photonic components and CMOS technology by decreasing the footprint and power consumption of active optical components. This way, the manufacturing costs it is expected to be reduced by making the large-scale production of integrated optoelectronic devices feasible, and so, they could be used in short distance communication systems to expand the available bandwidth. Recent researches has also shown that photonic crystal slab waveguides are very promising to simultaneously control group velocity and devices dispersion, as well as in the reduction of the size of elements such as bends, power splitters and nanocavities due to the fields confinement through the photonic bandgap effect. Thus, this work addresses a study of the monolithic integration of slow light and dispersionless waveguides, 60º bends, and Y-junctions fabricated in air-bridge photonic crystal slabs formed by the drilling of a periodic array of air holes in a silicon membrane. The research was accomplished with intensive activities in numerical simulations, as well as in nanophotonic manufacturing processes, and optical characterizations. Throughout the discussions were identified and analyzed the mechanisms that more critically affected the devices efficiency. The major problems faced in the manufacturing processes were also evaluated, and their possible solutions were pointed out. The results demonstrated a theoretical possibility of performing such integration more efficiently. Having a better understandment about the relation between the photonic crystal waveguides geometrical parameters and their dispersion allowed the modeling of bends and power splitters which exhibited 3 dB bandwidths that covered, respectively, ranges around 56 and 40 nm, along spectral regions with very high group indices. It was possible to fabricate photonic crystals with a quality close to those already reported in the literature on this subject and thus, very solid bases were established for the manufacture of such devices locally, without the necessity of accessing manufacturing centers abroad.

This research will investigate the problem on the propagation of electromagnetic wave through a specific nanomaterial. The nanomaterial analyzed is a material consisting of a field of Pt nanorods. This field of Pt nanorods are deposited on a substrate which consists of a RuO2 nano structure. When the nanorod is exposed to an electron beam emitted by a TEM (Transmission electron microscopy). A wave disturbance has been observed. A video taken within the chamber shows a wave with a speed in the scale of um/s (Á?10Á?^(-6) m/s), which is 14 orders of magnitude lower than speed of light in free space (approximate 3ÁÁ?10Á?^8 m/s ). A physical and mathematical model is developed to explain this phenomenon. Due to the process of fabrication, the geometry of the decorated Pt nanorod field is assumed to be approximately periodic. The nanomaterials possess properties similar to a photonic crystal. Pt, as a noble metal, shows dispersive behaviours that is different from those ones of a perfect or good conductors. A FDTD algorithm is implemented to calculate the band diagram of the nanomaterials. To explore the dispersive properties of the Pt nanorod field, the FDTD algorithm is corrected with a Drude Model. The analysis of the corrected band diagram illustrates that the group velocity of the wave packet propagating through the nanomaterial can be positive, negative or zero. The possible zero-group velocity is therefore used to explain the extremely low velocity of wave (wave envelope) detected in the TEM.

Techniques to control dispersion in a medium have attracted much attention due to potential applications to devices such as ring laser gyroscopes, interferometric gravitational wave detectors, data buffers, phased array radars and quantum information processors. Of particular interest is an optical resonator containing a medium with an anomalous dispersion corresponding to fast-light, which behaves as a White Light Cavity (WLC). A WLC can be tailored to improve the sensitivity of sensing devices as well as to realize an optical data buffering system that overcomes the delay-bandwidth product of a conventional cavity. This dissertation describes techniques to tailor the dispersion for fast-light in intracavity media. We present first a demonstration of fast-light in a photorefractive crystal. When placed inside a cavity, such a medium could be used to enhance the bandwidth of a gravitational wave detector. We then describe how a superluminal laser can be realized by adding anomalously dispersive medium inside a ring laser. We identify theoretical conditions under which the sensitivity of the resonance frequency to a change in the cavity length is enhanced by as much as seven orders of magnitude. This paves the way for realizing a fast-light enhanced ring laser gyroscope, for example. This is followed by the development of a novel data buffering system which employs two WLC systems in series. In this system, a data pulse can be delayed an arbitrary amount of time, without significant distortion. The delay time is independent of the data bandwidth, and is limited only by the attenuation experienced by the data pulse as it bounces between two high-reflectivity mirrors. Such a device would represent a significant breakthrough in overcoming the delay-time bandwidth product limitation inherent in conventional data buffers. We then describe our experimental effort to create a fiber-based WLC by using stimulated Brillouin scattering (SBS). Experimental results, in agreement with our theoretical model presented here, show that the WLC effect is small under the conditions supported by current fiber optic technology. We conclude that future efforts to induce a large WLC effect would require fibers with high Brillouin coefficient and low transmission loss, as well as optical elements with very low insertion loss and high power damage thresholds.

<p>All-optical devices have attracted many research interests due to their ultimately low heat dissipation compared to conventional devices based on electric-optical conversion. With recent advances in nonlinear optics, it is now possible to design the optical properties of a medium via all-optical nonlinear effects in a table-top device or even on a chip.</p><p>In this thesis, I realize all-optical control of the optical group velocity using the nonlinear process of stimulated Brillouin scattering (SBS) in optical fibers. The SBS-based techniques generally require very low pump power and offer a wide transparent window and a large tunable range. Moreover, my invention of the arbitrary SBS resonance tailoring technique enables engineering of the optical properties to optimize desired function performance,</p><p>which has made the SBS techniques particularly widely adapted for</p><p>various applications.</p><p>I demonstrate theoretically and experimentally how the all-optical</p><p>control of group velocity is achieved using SBS in optical fibers.</p><p>Particularly, I demonstrate that the frequency dependence of the</p><p>wavevector experienced by the signal beam can be tailored using</p><p>multi-line and broadband pump beams in the SBS process. Based on the theoretical framework, I engineer the spectral profile</p><p> to achieve two different application goals: a uniform low group velocity (slow light) within a broadband spectrum, and a group velocity with a linear dependence on the frequency detuning (group velocity dispersion or GVD).</p><p>In the broadband SBS slow light experiment, I develop a novel noise current modulation method that arbitrarily tailors the spectrum of a diode laser. Applying this method, I obtain a 5-GHz broadband SBS gain with optimized flat-topped profile, in comparison to the ~40 MHz natural linewidth of the SBS resonance. Based on the broadband SBS resonance, I build a 5-GHz optical buffer and use this optical buffer to delay a return-to-zero data sequence of rate 2.5 GHz (pulse width 200 ps). The fast noise modulation method significantly stabilizes the SBS gain and improves the signal fidelity. I obtain a tunable delay up to one pulse-width with a peak signal-to-noise ratio of 7. I also find that SBS slow light performance can be improved by avoiding competing nonlinear effects. A gain-bandwidth product of 344 dB.GHz is obtained in our system with a highly-nonlinear optical fiber.</p><p>Besides the slow light applications, I realize that group velocity dispersion is also optically controlled via the SBS process. In the very recent GVD experiment, I use a dual-line SBS resonance and obtain a tunable GVD parameter of 7.5 ns$^2$/m, which is 10$^9$ times larger than the value found in a single-mode fiber. The large GVD system is used to disperse an optical pulse with a pulse width of 28 ns, which is beyond the capability for current dispersion techniques working in the picosecond and sub picosecond region. The SBS-based all-optical control of GVD is also widely tunable and can</p><p>be applied to any wavelength within the transparent window of the</p><p>optical fiber. I expect many future extensions following this work</p><p>on the SBS-based all-optical GVD control using the readily developed SBS tailoring techniques.</p><p>Finally, I extend the basic theory of backwards SBS to describe the forward SBS observed in a highly nonlinear fiber, where asymmetric forward SBS resonances are observed at the gigahertz range. An especially large gain coefficient of 34.7 W$^{-1}$ is observed at the resonance frequency of 933.8 MHz. This is due to good overlap between the optical wave and the high order guided radial acoustic wave. The interplay from the competing process known as the Kerr effect is also accounted for in the theory.</p> / Dissertation

A fotônica em silício é um campo de pesquisas emergente com grande potencial para contribuir com a resolução de alguns dos problemas tecnológicos da atualidade. O gargalo imposto por interconexões metálicas na expansão da taxa de transmissão de dados em sistemas de comunicação como os de computadores de alto desempenho talvez seja um dos maiores desafios a serem superados. A propagação de luz em baixas velocidades de grupo e com controle de dispersão é uma das linhas de pesquisa atuais nas quais se busca explorar de forma mais eficiente as propriedades ópticas do silício, e assim, aumentar a compatibilidade entre componentes fotônicos e a tecnologia CMOS (Complementary Metal- Oxide-Semiconductor) por meio da diminuição das dimensões e do consumo de energia de componentes ópticos ativos. Dessa forma, espera-se diminuir os custos de fabricação e viabilizar a produção em larga escala de dispositivos integrados optoeletrônicos, que poderiam ser utilizados em sistemas de comunicação de curtas distâncias e assim ampliar a largura de banda disponível. Investigações recentes têm demonstrado que a fabricação de dispositivos baseados em cristais fotônicos planares possui grande potencial para controlar simultaneamente a velocidade de grupo e a dispersão, além de permitir a redução do tamanho de elementos como curvas, divisores de potência e cavidades ressonantes devido ao efeito do confinamento dos campos através do bandgap fotônico. Dessa forma, esse trabalho aborda um estudo sobre a integração monolítica entre guias de onda, curvas de 60º e junções em Y que operam em baixas velocidades de grupo e com reduzida dispersão, construídos em cristais fotônicos planares formados por uma matriz periódica de furos em uma membrana de silício suspensa em ar. Essa investigação englobou atividades bastante intensivas, tanto de simulações por métodos numéricos, como de processos de fabricação dedicados à nanofotônica, assim como de caracterizações ópticas. Ao longo das discussões são identificados e analisados os mecanismos que afetaram de forma mais crítica a eficiência dos dispositivos propostos. Também foram avaliados os maiores problemas enfrentados nos processos de fabricação, e suas possíveis soluções foram apontadas. Os resultados demonstraram a possibilidade teórica de realizar tal integração de forma eficiente. O melhor entendimento sobre a relação entre a dispersão e os parâmetros geométricos dos guias de onda permitiram modelar curvas e divisores de potência que exibiram, respectivamente, larguras de banda em torno de 56 e 40 nm, cobrindo regiões do espectro com elevados índices de grupo. Foi possível fabricar cristais fotônicos com uma qualidade próxima das já reportadas na literatura sobre o tema e assim foram estabelecidas bases bastante sólidas para a fabricação de tais dispositivos localmente, sem a necessidade expressa de acessar centros de fabricação no exterior. / Silicon photonics is an emerging research field that has great potential to contribute to solving some of the technological problems nowadays. Maybe, one of the greatest challenges to be overcome is the bottleneck imposed by electrical interconnections in the expansion of the bandwidth of communication systems such as those of high performance computers. Slow light propagation in dispersionless media is a hot topic in the current research fields that seek to more efficiently explore the silicon optical properties, and thus, increase the compatibility between photonic components and CMOS technology by decreasing the footprint and power consumption of active optical components. This way, the manufacturing costs it is expected to be reduced by making the large-scale production of integrated optoelectronic devices feasible, and so, they could be used in short distance communication systems to expand the available bandwidth. Recent researches has also shown that photonic crystal slab waveguides are very promising to simultaneously control group velocity and devices dispersion, as well as in the reduction of the size of elements such as bends, power splitters and nanocavities due to the fields confinement through the photonic bandgap effect. Thus, this work addresses a study of the monolithic integration of slow light and dispersionless waveguides, 60º bends, and Y-junctions fabricated in air-bridge photonic crystal slabs formed by the drilling of a periodic array of air holes in a silicon membrane. The research was accomplished with intensive activities in numerical simulations, as well as in nanophotonic manufacturing processes, and optical characterizations. Throughout the discussions were identified and analyzed the mechanisms that more critically affected the devices efficiency. The major problems faced in the manufacturing processes were also evaluated, and their possible solutions were pointed out. The results demonstrated a theoretical possibility of performing such integration more efficiently. Having a better understandment about the relation between the photonic crystal waveguides geometrical parameters and their dispersion allowed the modeling of bends and power splitters which exhibited 3 dB bandwidths that covered, respectively, ranges around 56 and 40 nm, along spectral regions with very high group indices. It was possible to fabricate photonic crystals with a quality close to those already reported in the literature on this subject and thus, very solid bases were established for the manufacture of such devices locally, without the necessity of accessing manufacturing centers abroad.

Although it has been well established that abnormal group delay is a real physical phenomenon and is not in violation of Einstein causality, there has been little investigation into whether or not such abnormal behaviour can be used to reduce signal latency in practical communication systems in the presence of noise. In this thesis, we use time-varying probability of error to determine if abnormal group delay “channels” can offer reduced signal latency. Since the detection system plays a critical role in the analysis, three important detection systems are considered: the correlation, matched filter and envelope detection systems. Our analysis shows that for both spatially negligible microelectronic systems and spatially extended microwave systems, negative group delay “channels” offer reduced signal latency as compared to conventional “channels”. The results presented in the thesis can be used to design a new generation of electronic and microwave interconnects with reduced or eliminated signal latency.

Although it has been well established that abnormal group delay is a real physical phenomenon and is not in violation of Einstein causality, there has been little investigation into whether or not such abnormal behaviour can be used to reduce signal latency in practical communication systems in the presence of noise. In this thesis, we use time-varying probability of error to determine if abnormal group delay “channels” can offer reduced signal latency. Since the detection system plays a critical role in the analysis, three important detection systems are considered: the correlation, matched filter and envelope detection systems. Our analysis shows that for both spatially negligible microelectronic systems and spatially extended microwave systems, negative group delay “channels” offer reduced signal latency as compared to conventional “channels”. The results presented in the thesis can be used to design a new generation of electronic and microwave interconnects with reduced or eliminated signal latency.