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dc.contributor.advisor Venakides, Stephanos en_US
dc.contributor.author Jackson, Aaron David en_US
dc.date.accessioned 2012-09-04T13:14:53Z
dc.date.available 2012-09-04T13:14:53Z
dc.date.issued 2012 en_US
dc.identifier.uri http://hdl.handle.net/10161/5774
dc.description Dissertation en_US
dc.description.abstract <p>We calculate electromagnetic transmission through periodic gratings using a mode-matching method for solving Maxwell's equations. We record the derivation of the equations involved for several variations of the problem, including one- and two- dimensionally periodic films, one-sided films, films with complicated periodicity, and a simpler formula for the case of a single contributing waveguide mode. We demonstrate the effects of the Rayleigh anomaly, which causes energy transmission to be very low compared to nearby frequencies, and the associated transmission maxima which may be as high as 100% for certain energy frequencies. Finally we present further variations of the model to account for the effects of conductivity, finite hole arrays, and collimation. We find that assuming the film is perfectly conducting with infinite periodicity does not change the transmission sufficiently to explain the difference between experimental and theoretical results. However, removing the assumption that the incident radiation is in the form of a plane wave brings the transmission much more in agreement with experimental results.</p> en_US
dc.subject Mathematics en_US
dc.subject Applied mathematics en_US
dc.subject Optics en_US
dc.subject Anomaly en_US
dc.subject Extraordinary en_US
dc.subject Gratings en_US
dc.subject Periodic en_US
dc.subject Transmission en_US
dc.subject Wood en_US
dc.title EM Scattering from Perforated Films: Transmission and Resonance en_US
dc.type Dissertation en_US
dc.department Mathematics en_US

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