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Physical Sciences and Mathematics Commons

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Physics

Western Michigan University

Dissertations

Difference equation waveguide

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Modeling Transmission Of Photonic Crystal Waveguide Modes Enhanced By Kerr Nonlinearity, Buddhi M. Rai Aug 2012

Modeling Transmission Of Photonic Crystal Waveguide Modes Enhanced By Kerr Nonlinearity, Buddhi M. Rai

Dissertations

Nonlinear modes of electromagnetic fields propagating in photonic crystal systems have been studied by implementing various computer simulation techniques using electromagnetic theory. The fundamentals of simulation of photonic crystals are analyzed using general purpose methodologies such as the FDTD or PWE methods. Information derived from the underlying physical insights into the systems could be utilized to describe the control mechanisms over the propagation of the modes around impurities in the photonic crystal lattice. The impurities trap the resonantly localized electromagnetic modes having a frequency in a stop band of the photonic crystal, suggesting novel optical controls in the photonic crystal …