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I examine two methods for modeling the temporal dynamics of optical communication networks that rapidly and accurately simulate the statistics of unlikely but physically significant system configurations. First, I implement a fiber emulator based upon a random uniform walk over the Poincaré sphere that reproduces the expected polarization temporal autocorrelation statistics with a small number of emulator sections. While easy to implement numerically, the increased computational efficiency afforded by this approach allow simulations of the PMD temporal dynamics to be preferentially biased towards regions of low probability using standard multicanonical methods for the first time. Then, in a subsequent study, I present a general transition matrix formalism that additionally applies to other time-dependent communication systems. I compare the numerical accuracy of several transition matrix sampling techniques and show that straightforward modifications of the acceptance rule can significantly increase computational efficiency if the numerical parameters are chosen to ensure a small self-transition probability within each discretized histogram bin. The general applicability of the transition matrix method is then demonstrated by calculating the outage dynamics associated with the hinge model of polarization evolution and, separately, fading in wireless communication channels. Further, I develop a Magnus expansion formalism for the rapid and accurate estimation of the frequency dynamics of optical polarization that extends the work of Ref.[94] to systems with PMD and PDL. My approach reproduces the power-series expansion and differential equation solution techniques of previous authors while also preserving the required symmetries of the exact solution in every expansion order. This significantly improves the bandwidth of high estimation accuracy, making this method well-suited to the stochastic analysis of PMD and PDL induced system penalty while also yielding physically realizable operator expansions applicable to the joint compensation of PMD and PDL. Finally, I employ high-speed polarimetery to demonstrate experimentally that low-amplitude mechanical excitations of commercially available dispersion compensation modules can excite high-frequency, > 75,000 rotations/s, polarization transients that are nearly invariant between successive measurements. I extend this procedure to measurements of the transient evolution of PMD.

I examine two methods for modeling the temporal dynamics of optical communication networks that rapidly and accurately simulate the statistics of unlikely but physically significant system configurations. First, I implement a fiber emulator based upon a random uniform walk over the Poincaré sphere that reproduces the expected polarization temporal autocorrelation statistics with a small number of emulator sections. While easy to implement numerically, the increased computational efficiency afforded by this approach allow simulations of the PMD temporal dynamics to be preferentially biased towards regions of low probability using standard multicanonical methods for the first time. Then, in a subsequent study, I present a general transition matrix formalism that additionally applies to other time-dependent communication systems. I compare the numerical accuracy of several transition matrix sampling techniques and show that straightforward modifications of the acceptance rule can significantly increase computational efficiency if the numerical parameters are chosen to ensure a small self-transition probability within each discretized histogram bin. The general applicability of the transition matrix method is then demonstrated by calculating the outage dynamics associated with the hinge model of polarization evolution and, separately, fading in wireless communication channels. Further, I develop a Magnus expansion formalism for the rapid and accurate estimation of the frequency dynamics of optical polarization that extends the work of Ref.[94] to systems with PMD and PDL. My approach reproduces the power-series expansion and differential equation solution techniques of previous authors while also preserving the required symmetries of the exact solution in every expansion order. This significantly improves the bandwidth of high estimation accuracy, making this method well-suited to the stochastic analysis of PMD and PDL induced system penalty while also yielding physically realizable operator expansions applicable to the joint compensation of PMD and PDL. Finally, I employ high-speed polarimetery to demonstrate experimentally that low-amplitude mechanical excitations of commercially available dispersion compensation modules can excite high-frequency, > 75,000 rotations/s, polarization transients that are nearly invariant between successive measurements. I extend this procedure to measurements of the transient evolution of PMD.

No description available.

[pt] Este trabalho apresenta em sua etapa inicial os conceitos básicos de polarização da luz descritos através da Esfera de Poincaré, Vetores de Jones, Parâmetros de Stokes, Matrizes de Mueller e Fórmula da Rotação de Rodrigues. Em seguida, as diversas técnicas utilizadas para as transformações dos SOPs (States of Polarization) são introduzidas. A partir destas etapas, é apresentada a seleção, o desenvolvimento e a realização prática de um sistema capaz de ativar o controle de polarização de sinais ópticos em uma fibra monomodo. Um segundo sistema capaz de controlar sinais ópticos multiplexados em frequencia é também realizado e apresentado. Ambos os sistemas são ativados através de uma ferramenta computacional dedicada baseada na linguagem de programação gráfica LabVIEW. / [en] This work presents initially a set of light polarization concepts using the Poincaré Sphere, Jone’s Vectors, Stoke’s Parameters, Mueller Matrices, Rodrigues’ Rotation Formula, and several SOPs (States of Polarization) transformations. Through these concepts and after a careful components selection, a SOP control system in monomode optical fiber is realized and presented. A second system able to implement the SOP control when multiplexed optical signals are employed is also realized and described. A dedicated computer tool using the software LabVIEW is developed to both systems.

L’imagerie de filtrage en polarisation est une technique populaire largement utilisée en optique pour le biomédical pour le sondage des tissus superficiels, pour le sondage de volumes plus profonds, mais aussi pour l’examen sélectif de volumes sub-surfaciques. Du fait de l’effet de ’mémoire de polarisation’ de la lumière polarisée, l’imagerie de filtrage en polarisation elliptique est sensible á des épaisseurs de tissus différentes, depuis la surface, accessible avec la polarisation linéaire, jusqu’á une épaisseur critique accessible par la polarisation circulaire. Nous nous concentrons sur des méthodes utilisant des combinaisons de polarisations elliptiques afin de sélectionner la portion de lumière ayant maintenu son état de polarisation et éliminer le fond pour un meilleur contraste avec de plus une information sur la profondeur. Avec ce type de filtrage, il est possible d’accéder á des profondeurs de tissus biologiques bien définies selon l’ellipticité de polarisation. De plus, ces travaux ont permis d’étendre la méthode á la spectroscopie pour quantifier la concentration en chromophores á une profondeur spécifique. Les méthodes développées ont été validées in vivo á l’aide d’expériences réalisées sur des anomalies de la peau et aussi sur le cortex exposé d’un rat anesthésié. Enfin, une étude préliminaire a été réalisée pour examiner la possibilité d’étendre la méthode á l’imagerie de 'speckle'. Des tests préliminaires réalises sur fantômes montrent l’influence de l’ellipticité de polarisation sur la formation et le comportement du speckle, ce qui offre la possibilité d’accéder á des informations sur le flux sanguin á des profondeurs spécifiques dans les tissus. / Polarization gating imaging is a popular and widely used imaging technique in biomedical optics to sense tissues, deeper volumes, and also selectively probe sub-superficial volumes. Due to the ‘polarization memory’ effect of polarized light, elliptical polarization gating allows access to tissue layers between those of accessible by linear or circular polarizations. As opposed to the conventional linearly polarized illumination, we focus on polarization gating methods that combine the use of elliptically polarized light to select polarization-maintaining photons and eliminate the background while providing superior contrast and depth information. With gating, it has also become possible to access user-defined depths (dependent on optical properties) in biological tissues with the use of images at different ellipticities. Furthermore, this investigation allowed the application of polarization gating in spectroscopy to selectively quantify the concentration of tissue chromophores at user-desired depths. Polarization gating methods have been validated and demonstrated with in vivo experiments on abnormalities of human skin (nevus, burn scar) and also on the exposed cortex of an anaesthetized rat. Finally, as a first step towards the use of coherent illumination, adding the concept of polarimetry to laser-speckle imaging was demonstrated. Preliminary tests on phantoms (solid and liquid) suggested evidence of the influence of polarization ellipticity on the formation and behaviour of speckles, which could pave the way for more insight in the study of blood flow in tissues.

International Telemetering Conference Proceedings / October 23-26, 2000 / Town & Country Hotel and Conference Center, San Diego, California / Telemetry receiving sites at missile test ranges almost always use polarization diversity to maximize the quality of the telemetry signals collected from missiles during developmental tests. If the sites are operating optimally, their sensitivity should be independent of received polarization. In this paper a technique to test the sensitivity of each receiving site is presented that involves radiating from a central location with selectable polarization and precise power level. Results of testing five telemetry sites are presented and compared with performance predicted through link analysis using site G/T and location information.

published_or_final_version / Physics / Doctoral / Doctor of Philosophy

This paper will address the trends of employment in correlation with technological progress. It will consider generally accepted economic theory as well as classical analysis, mathematical modeling and recent data. It is demonstrated that short-run impacts of technological advancements can cause temporary unemployment due to increased aggregate productivity. Long-run adjustments however can result in job polarization, which in turn results in income inequality. The possible negative impacts on the US economy as a whole are addressed and short-term fixes that could mitigate the undesirable side effects that come from these changes.