Doctor of Philosophy (PhD) / In this thesis we consider several novel photonic crystal structures that derive their properties from optical resonances and mode coupling effects. We present first a theoretical analysis of a new class of photonic crystal device based on the combination of mode coupling and Fabry-Perot resonance effects. These structures exhibit characteristics that make them promising candidates as compact, integrated photonic components. The second aspect we consider is highly-efficient coupling into uniform photonic crystals. The results of this study identify inherent advantages of rod-type photonic crystals over the more common hole-type structures for in-band applications. The third contribution of this thesis is the demonstration of an efficient and powerful theoretical approach to studying photonic crystal devices. Throughout this work, we combine general numerical methods with simple physical models to develop physical insight into the behaviour of photonic crystal structures. We show that this can lead to novel device geometries with highly attractive properties.

A 2-D photonic crystal cavity device is investigated in this thesis. A simplified flexible local approximation method (FLAME) is used to analyze the electromagnetic characteristics of the cavity. / FLAME is a computational technique that is well suited to problems involving a large number of repeated structures. It has been used before to analyze photonic crystal cavities. In this thesis, an improved FLAME is developed, leading to a standard eigenproblem, which allows the use of sparse-matrix solution methods. Consequently, much larger problems can be solved. In addition, a graded perfectly matched layer (PML) is applied to absorb more effectively the out-going waves. / The new method is applied to cavities based on NxN arrays of rods, from N=3 to 9. Good accuracy is achieved compared with the finite-element method (FEM), with an error of less than 0.001% in the resonant frequency for a density of 42.6 nodes per wavelength (when N=5), which shows better consistency than the previous FLAME. Further, the new method converges more quickly than the FEM with linear elements, as the node density is increased, though it is less accurate than the FEM with quadratic elements.

Doctor of Philosophy (PhD) / In this thesis we consider several novel photonic crystal structures that derive their properties from optical resonances and mode coupling effects. We present first a theoretical analysis of a new class of photonic crystal device based on the combination of mode coupling and Fabry-Perot resonance effects. These structures exhibit characteristics that make them promising candidates as compact, integrated photonic components. The second aspect we consider is highly-efficient coupling into uniform photonic crystals. The results of this study identify inherent advantages of rod-type photonic crystals over the more common hole-type structures for in-band applications. The third contribution of this thesis is the demonstration of an efficient and powerful theoretical approach to studying photonic crystal devices. Throughout this work, we combine general numerical methods with simple physical models to develop physical insight into the behaviour of photonic crystal structures. We show that this can lead to novel device geometries with highly attractive properties.

Thesis (M. S.)--Electrical and Computer Engineering, Georgia Institute of Technology, 2009. / Committee Chair: Klein, Benjamin; Committee Member: Alavi, Kambiz; Committee Member: Allen, Janet K.; Committee Member: Buck, John; Committee Member: Gaylord, Tom; Committee Member: Yoder, Douglas.

No description available.

Dans le monde moderne de l'information numérique, les volumes de transfert de données augmentent constamment et créent une demande correspondante pour des vitesses de transfert plus élevées et un traitement des données plus rapide.De nos jours, le transfert d'information sur la puce au moyen de signaux électriques commence à atteindre ses limites en raison des restrictions physiques des effets quantiques, rendant le transfert de données au moyen de signaux optiques attrayant pour le transfert d'information rapide sur les puces informatiques. Il en résulte que la photonique au silicium, qui utilise du silicium (à motifs) en tant que milieu optique (par exemple des cristaux photoniques), a un grand potentiel pour remplacer les parties des interconnexions métalliques actuelles par celles optiques.Il existe déjà une gamme de composants photoniques créés de manière monolithique sur des plaquettes de silicium sur isolant, mais il manque encore des sources compactes de lumière pulsée sur puce. Dans cette thèse, nous travaillons sur la création de telles sources de lumière pulsée, tout en étudiant l'interaction des lasers à cristaux photoniques avec l'absorbant saturable de graphène. Bien que n'atteignant pas réellement le but ambitieux et à long terme associé à la réalisation d'un laser à verrouillage de mode intégré, cette thèse a fait quelques progrès dans cette direction. Nous avons franchi quelques étapes, telles que l'intégration du graphène et des structures actives des cristaux photoniques, l'étude de l'interaction du graphène avec les lasers compacts, le développement d'un modèle théorique permettant d'étudier cette interaction et enfin la conception de multimodes et de cavités compactes à base de cristaux photoniques pour la miniaturisation de lasers à verrouillage de mode. Ces étapes seront importantes pour le développement de dispositifs compacts capables de générer un train d'impulsions optiques sub-picosecondes dans des plates-formes à puce. / In the modern world of digital information, data transfer volumes are constantly increasing and create a corresponding demand for higher transfer speeds and faster data processing.Nowadays, the information transfer on-chip by means of electrical signals begin to reach its limitations due to physical restrictions of quantum effects, making data transfer by the means of optical signals to become an attractive prospect for high-speed information transfer on computer chips. As a result, silicon photonics, which uses (patterned) silicon as an optical medium (e.g. photonic crystals), has a great potential to replace parts of the current metallic interconnects by the optical ones.There is already a range of photonic components created monolithically on silicon-on-insulator wafers, however, compact sources of pulsed light are still missing on-chip. In this thesis, we are working on creation of such sources of pulsed light, while investigating the interaction of photonic crystal compact lasers with graphene saturable absorber. Although not actually achieving the long-term and ambitious goal associated with the realization of an integrated mode-locked laser, this thesis made some progress in that direction. We have achieved a few milestones, such as the integration of graphene and active photonic crystal structures, the study of the interaction of graphene with compact lasers, the development of a theoretical model providing a basis for studying this interaction and finally the design of multimode and compact photonic crystal based cavities for the miniaturization of mode-locked lasers. These steps will be of importance for the development of compact devices capable of generating a train of sub-picosecond optical pulses in chip-based platforms.

No description available.

Thesis (Ph. D.)--University of Texas at Dallas, 2006. / Includes vita. Includes bibliographical references (leaves 138-149).

Thesis (Ph.D.)--University of Delaware, 2007. / Principal faculty advisor: Dennis W. Prather, Dept. of Electrical and Computer Engineering. Includes bibliographical references.

Thesis (Ph.D.)--University of Delaware, 2006. / Principal faculty advisor: Dennis Prather, Dept. of Electrical and Computer Engineering. Includes bibliographical references.