Search Constraints

Start Over
Filtering by: Alternative title ssim Polynomial Chaos for Dispersive Electromagnetics Remove constraint Alternative title ssim: Polynomial Chaos for Dispersive Electromagnetics Advisor Bokil, Vrushali A. Remove constraint Advisor: Bokil, Vrushali A.

Search Results

  • 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:
    Numerical Methods for the Simulation of Electromagnetic Waves in Dispersive Media Abstract approved

  • 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:
    be considered in this thesis for modeling electromagnetic wave propagation in polar dispersive

  • Qualitative Analysis of Maxwell-Duffing Models in Nonlinear Optics

    Creator:
    Tro, Sara K.
    Abstract:
    In this thesis we analyze a model for Kerr optical materials consisting of Maxwell's equations along with the dispersive Duffing model. We consider Duffing models with cubic and quintic polynomial nonlinearities. We assume a traveling wave solution to this nonlinear electromagnetic system and analyze it using the theory of dynamical...
    Resource Type:
    Honors College Thesis
    Full Text:
    the dispersive Duffing model. We consider Duffing models with cubic and quintic polynomial

  • Multiscale Methods and Energy Stable Discretizations for Maxwell’s Equations in Linearand Nonlinear Materials

    Creator:
    Sakkaplangkul, Puttha
    Abstract:
    In this dissertation, we introduce a family of fully discrete finite difference time-domain (FDTD) methods for Maxwell’s equations in linear and nonlinear materials. Onecategory of methods is constructed using multiscale techniques involving operator splittings. We present the sequential splitting scheme, the Strang Marchuk splitting scheme,the weighted sequential splitting scheme including...
    Resource Type:
    Dissertation
    Full Text:
    operator splitting schemes based on energy techniques for Maxwell’s equations in linear non-dispersive and

  • Compatible Discretizations for Maxwell's Equations with General Constitutive Laws

    Creator:
    McGregor, D. A.
    Abstract:
    In this thesis we construct compatible discretizations of Maxwell's equations. We use the term compatible to describe numerical methods for Maxwell's equations which obey many properties of vector Calculus in a discrete setting. Compatible discretizations preserve the exterior Calculus ensuring that the divergence of the curl and the curl of...
    Resource Type:
    Dissertation
    Full Text:
    essence, these laws will relate various electromagnetic variables to one another. We consider for the