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Filtering by: Committee Member Gibson, Nathan L. Remove constraint Committee Member: Gibson, Nathan L. Subject Numerical analysis Remove constraint Subject: Numerical analysis

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  • Operator splitting methods for Maxwell's equations in dispersive media

    Creator:
    Keefer, Olivia A.
    Abstract:
    Accurate modeling and simulation of wave propagation in dispersive dielectrics such as water, human tissue and sand, among others, has a variety of applications. For example in medical imaging, electromagnetic waves are used to interrogate human tissue in a non-invasive manner to detect anomalies that could be cancerous. In non-destructive...
    Resource Type:
    Masters Thesis
    Full Text:
    like to thank Dr. Ted Brekken, Dr. Nathan Gibson, and Dr. Robert Higdon for dedicating their time to

  • Analysis of fourth order numerical methods for the simulation of electromagnetic waves in dispersive media

    Creator:
    Henderson, Scott Edward
    Abstract:
    In this thesis, we investigate the problem of simulating Maxwell's equations in dispersive dielectric media. We begin by explaining the relevance of Maxwell's equations to 21st century problems. We also discuss the previous work on the numerical simulations of Maxwell's equations. Introductions to Maxwell's equations and the Yee finite difference...
    Resource Type:
    Masters Thesis
    Full Text:
    her guidance, this thesis would not be possible. I would also like to thank Dr. Nathan Gibson for his