This dissertation develops a theoretical framework for guided mode resonance filters (GMRFs) with surface relief gratings based on a physical optics approach. A GMRF is a unique optical device that utilizes the resonance due to the coupling of a diffraction order of a grating with a waveguide mode. This coupling process leads to rapid fluctuations in the reflected and transmitted fields from the GMRF. The reflected output can change from 0% to 100% over extremely small wavelength (or angular) regions with a Lorentzian lineshape. It is shown that the surface relief gratings can be effectively modeled using effective medium theory (EMT). Combining the EMT modeled surface relief grating and thin film theory provides an approximation of the sidelobe levels around a resonance peak and can be used to design a grating that acts as an anti-reflection coating. In addition, EMT can be combined with multilayer waveguide relationships to provide an improved method for determining the wavelength of a resonance. The effect of a finite aperture grating upon the reflected and transmitted output from a GMRF is analyzed. The resonance peak width is found to be inversely proportional to the grating length and the peak efficiency of the GMRF is shown to decrease with reduced grating length. Finally, the design and analysis of a GMRF with a nonlinear waveguide is presented and shown to be capable of providing all-optical switching with low input intensities.
| Identifer | oai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/284141 |
| Date | January 2000 |
| Creators | Boye, Robert Russell |
| Contributors | Kostuk, Raymond K. |
| Publisher | The University of Arizona. |
| Source Sets | University of Arizona |
| Language | en_US |
| Detected Language | English |
| Type | text, Dissertation-Reproduction (electronic) |
| Rights | Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author. |
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