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Theoretical Tailoring Of Perforated Thin Silver Films For Surface Plasmon Resonance Affinity, Renan Gongora Dec 2013

Theoretical Tailoring Of Perforated Thin Silver Films For Surface Plasmon Resonance Affinity, Renan Gongora

HIM 1990-2015

Metallic films, in conjunction with biochemical-targeted probes, are expected to provide early diagnosis, targeted therapy and non-invasive monitoring for epidemiology applications [1-4]. The resonance wavelength peaks, both plasmonic and Wood-Rayleigh Anomalies (WRAs), in the scattering spectra are affected by the metallic architecture. As of today, much research has been devoted to extinction efficiency in the plasmonic region. However, Wood Rayleigh Anomalies (WRAs) typically occur at wavelengths associated with the periodic distance of the structures. A significant number of papers have already focused on the plasmonic region of the visible spectrum, but a less explored area of research was presented here; …


On Well-Quasi-Orderings, Forrest Thurman May 2013

On Well-Quasi-Orderings, Forrest Thurman

HIM 1990-2015

A quasi-order is a relation on a set which is both reflexive and transitive, while a well-quasi-order has the additional property that there exist no infinite strictly descending chains nor infinite antichains. Well-quasi-orderings have many interesting applications to a variety of areas which includes the strength of certain logical systems, the termination of algorithms, and the classification of sets of graphs in terms of excluded minors. My thesis explores how well-quasi-orderings are related to these topics through examples of four known well-quasi-orderings which are given by Dickson's Lemma, Higmans's Lemma, Kruskal's Tree Theorem, and the Robertson-Seymour Theorem. The well-quasi-ordering conjecture …


Squaraine Dyes For Two-Photon Fluorescence Bioimaging Applications, Maria Colon Gomez May 2013

Squaraine Dyes For Two-Photon Fluorescence Bioimaging Applications, Maria Colon Gomez

HIM 1990-2015

No abstract provided.


Modification To Einstein's Field Equations Imposed By String Theory And Consequences For The Classical Tests Of General Relativity, Christopher Frye May 2013

Modification To Einstein's Field Equations Imposed By String Theory And Consequences For The Classical Tests Of General Relativity, Christopher Frye

HIM 1990-2015

String theory imposes slight modifications to Einstein's equations of general relativity (GR). In (4), the authors claim that the gravitational field equations in empty space, which in GR are just R [subscript greek letters mu nu ] = 0, should hold one extra term which is first order in the string constant [alpha'] and proportional to the Riemann curvature tensor squared. They do admit, however, that this simple modification is just schematic. In (1) the authors use modified equations which are coupled to the dilation field. We show that equations given in (4) do not admit an isotropic solution; justification …