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Filtering by: Alternative title ssim Polynomial Chaos for Dispersive Electromagnetics Remove constraint Alternative title ssim: Polynomial Chaos for Dispersive Electromagnetics Degree Name Master of Science (M.S.) Remove constraint Degree Name: Master of Science (M.S.)

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  • Polynomial Chaos Expansions for Random Ordinary Differential Equations

    Creator:
    McKenzie, Brian
    Abstract:
    We consider numerical methods for finding approximate solutions to Ordinary Differential Equations (ODEs) with parameters distributed with some probability by the Generalized Polynomial Chaos (GPC) approach. In particular, we consider those with forcing functions that have a random parameter in both the scalar and vector case. We then consider linear...
    Resource Type:
    Capstone Project
    Full Text:
    Polynomial Chaos Expansions for Random Ordinary

  • 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

  • Electromagnetic Inverse Problem for Relaxation Time Distribution in the Time-Domain

    Creator:
    Armentrout, Megan
    Abstract:
    We consider wide bandwidth electromagnetic pulse interrogation problems for the determination of dielectric response parameters in complex dispersive materials. We couple Maxwell’s equations with an auxiliary ODE modeling dielectric polarization. A problem of particular interest is to identify parameters in a standard polarization model (e.g., Debye or Lorentz) using time-domain...
    Resource Type:
    Capstone Project
    Full Text:
    generalized Polynomial Chaos in the forward problem. 1 Introduction Electromagnetic (EM) waves are a part of

  • Analysis and modeling of microstrip on-chip interconnects on silicon substrate

    Creator:
    Lan, Hai
    Abstract:
    The electrical performance of on-chip interconnects has become a limiting factor to the performance of modern integrated circuits including RFICs, mixed-signal circuits, as well as high-speed VLSI circuits due to increasing operating frequencies, chip areas, and integration densities. It is advantageous to have fast and accurate closed-form expressions for the...
    Resource Type:
    Masters Thesis
    Full Text:
    Redacted for Privacy in good agreement with full-wave and quasi-static electromagnetic solutions. Based