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Silicon photonics has been widely recognized as a key technology that enables guiding, modulating, detecting, and computing of light in silicon chips. Photonic chips can be fabricated in a similar fashion as microelectronic chips, leveraging the mature CMOS fabrication and metrology infrastructure. Extending this technology, this dissertation focuses on two different areas : silicon microresonator-based mid-infrared light sources, and efficient strain engineering of the bandgap of two-dimensional materials. First, we review the basic theory of waveguides and ring resonators, laying the groundwork for the rest of the dissertation. Second, nonlinear optics is introduced with an emphasis on third order nonlinear phenomena including four wave mixing, the basis for Kerr frequency comb generation. Third, starting with the basic theory of lasers, we present the basic principles of quantum well lasers, leading to the discussion of quantum and interband cascade lasers. Fourth, we demonstrate a simple approach to generate mid-infrared frequency comb using a passive high-Q microresonator as well as an over one million quality factor silicon microresonator at 4.5 ?m. The novel suspended inverse taper with sub-3dB coupling loss is reported. Fifth, we demonstrate a compact narrow-linewidth widely-tunable mid-infrared laser using a high-Q external on-chip cavity. Lastly, we demonstrate highly efficient modulation of transition metal dichalcogenide monolayers (TMD) monolayers as well as TMD monolayer integrated on a silicon nitride waveguide. Additionally, we present a heterogeneous integration platform based on a thin polymer, which allows bonding as well as in principle, evanescent coupling between the two substrates.

In this thesis a numerical technique is developed determining the propagation constant in waveguides and transmission lines. The technique accounts for both dielectric and conductor losses in a guide having an arbitrary cross section and uses a full-wave solution process. A set of coupled, vector integral equations which characterize the system are derived. The equations enforce the necessary boundary conditions on the tangential electric and magnetic fields at the boundaries separating the conductors and dielectrics. The method of moments (MOM) technique is used to cast the equations into a numerically solvable form. Computed results for various waveguide structures are compared to known or perturbed results for three well-known structures. However, the program is more general and may be applied to other cross-sections. Finally, possible future extensions of the work is presented. / Master of Science

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CNPq, Capes e FINEP / Este trabalho descreve a produção e caracterização de guias de onda óticos em cristal de fluoreto de lítio (LiF) produzidos expondo o cristal a um feixe focalizado de um laser de femtosegundo, com o deslocamento do cristal na direção perpendicular ao eixo de propagação do feixe. A medida da emissão, sob iluminação específica, demonstra a presença de centros de cor dos tipos F2 e F3+ nas regiões do cristal expostas ao feixe focalizado do laser. As estruturas produzidas possuem incremento do índice de refração em relação ao índice de refração do cristal. Tais estruturas são caracterizadas em termos da sua morfologia usando microscopia convencional e confocal. A capacidade de guiamento de luz é investigada acoplando fontes laser com diferentes comprimentos de ondas. Os modos suportados são também analisados, bem como as perdas na propagação. A produção de guias de ondas de Bragg é testada acoplando uma fonte de luz branca e comparando seu espectro com o espectro que passa somente pelo cristal. A capacidade de guiamento das estruturas produzidas é confirmada pela análise dos perfis de campo próximo. Os guias suportam poucos modos e os incrementos de índices obtidos são da ordem de 10^-4. / This work describes the production and characterization of optical waveguides in lithium fluoride crystal (LiF) produced by exposing the crystal to a focused femtosecond laser beam, with the crystal displacement perpendicular to the beam. The measured emissions, with specific illumination, demonstrate the presence of color centers of types F2 and F+3 at the crystal regions exposed to the focused laser beam. The produced structures have increased refractive index relative to the crystal refraction index. Such structures are characterized in terms of their morphology using conventional and confocal microscopy. Their ability to guide light is investigated through coupling different laser light. The propagation modes supported by the guides are also estimated, as well as the propagation losses. The production of a Bragg grating waveguide is locked for by coupling a white light in the guides and comparing its spectrum with that passing only through the crystal. The guiding capacity of the structural changes produced is confirmed by the near-field profile analysis. The guides support few propagation modes and the obtained changes in the refractive index are in the order of 10^-4.

Today's information and communication industry is confronted with a serious bottleneck due to the prohibitive energy consumption and limited transmission bandwidth of electrical interconnects. Silicon photonics offers an alternative by transferring data optically and thereby eliminating the restriction of electrical interconnects over distance and bandwidth. Due to the inherent advantage of using the same material as that used for the electronic circuitry, silicon photonics also promises high volume and low cost production plus the possibility of integration with electronics. In this thesis, I introduce an all-silicon optical interconnect architecture that promises very high integration density along with very low energy consumption. The basic building block of this architecture is a vertically coupled photonic crystal cavity-waveguide system. This vertically coupled system acts as a highly wavelength selective filter. By suitably designing the waveguide and the cavity, at resonance wavelength of the cavity, large drop in transmission can be achieved. By locally modulating the material index of the cavity electrically, the resonance wavelength of the cavity can be tuned to achieve modulation in the transmission of the waveguide. The detection scheme also utilizes the same vertically coupled system. By creating crystal defects in silicon in the cavity region, wavelength selective photodetection can be achieved. This unique vertical coupling scheme also allows us to cascade multiple modulators and detectors coupled to a single waveguide, thus offering huge channel scalability and design and fabrication simplicity. During this project, I have implemented this vertical coupling scheme to demonstrate modulation with extremely low operating energy (0.6 fJ/bit). Furthermore, I have demonstrated cascadeability and multichannel operation by using a comb laser as the source that simultaneously drives five channels. For photodetection, I have realized one of the smallest wavelength selective detector with responsivity of 0.108 A/W at 10 V reverse bias with a dark current of 9.4 nA. By cascading such detectors I have also demonstrated a two-channel demultiplexer.

The propagation of light beams in inhomogeneous dielectric media is considered. The derivation begins with first principles and remains general enough to include off-axis asymmetric multimode input beams in tapered lenslike media with spatial variations of gain or loss. The tapering of lenslike media leads to a number of important applications. A parabolic taper is proposed as a model for a heated axially stretched fiber taper, and beams in such media are fully characterized. Other models are proposed by the concatenation of a parabola with other taper functions.

The rapid expansion of major cities in the west Europeancountries has accentuated the need to exploit every potentialsite for new establishments, e.g. areas over train tunnels andnear railway tracks in general. A significant impediment toexploit such areas is the structure-borne noise generated bythe train traffic, which is transmitted into buildings via theground. Reliable prediction methods and cost-effective noisecontrol measures are therefore needed and are also the objectof the present work. In this thesis, the studied buildings areconsidered as wave-guides for the sound transmitted from theground. The work is restricted to the case of hard ground suchas granite. The chosen technique permits comparison betweendifferent potential measures to reduce the transmission ofstructure-borne sound upward in buildings. It is shown that thedesign of the load-bearing structures is important in thiscontext, and a design with relocated columns has givenpromising results. It is also shown that the stiffness of theground plays an important role in the transmission process.This leads to the idea that a sand layer between the foundationof the building and the bedrock may reduce the transmission.New methods have thus been developed in the course of this workto evaluate the stiffness of the layer using approximate andexact techniques. Results are presented and a comparison ismade with previous results for a "normal" building and it isshown that the insertion of sand layer has a potential toconsiderably reduce the sound level in the building. <b>Keywords:</b>Ground-borne noise, railway noise, in-planewaves, wave-guides, scattering, propagation constant, inputmobility, elastic stratum, dual integral equations.