Search Constraints

Start Over
Filtering by: Alternative title ssim Polynomial Chaos for Dispersive Electromagnetics Remove constraint Alternative title ssim: Polynomial Chaos for Dispersive Electromagnetics Rights Statement In Copyright Remove constraint Rights Statement: In Copyright

Search Results

  • 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

  • Water content and electrical conductivity profile measurements for dispersive media using enhanced time domain and frequency domain models

    Creator:
    Flugstad, Benjamin A.
    Abstract:
    Water conservation and water quality are rapidly increasing in importance in all areas of the world. The ability to accurately measure soil water content and salinity, over a wide variety of conditions, is key to meeting this need. A set of forward prediction models and waveform interpretation algorithms to extract...
    Resource Type:
    Dissertation
    Full Text:
    for Dispersive Media using Enhanced Time Domain and Frequency Domain Models AN

  • 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

  • Virtual Element Methods for Magnetohydrodynamics on General Polygonal and Polyhedral Meshes

    Creator:
    Naranjo, Sebastián
    Abstract:
    The aim of this dissertation is to construct a virtual element method (VEM) for models in magneto-hydrodynamics (MHD), an area that studies the behavior and properties of electrically conducting fluids such as a plasma. MHD models are a coupling of the Maxwell’s equations for electromagnetics and models for fluid flow....
    Resource Type:
    Dissertation
    Full Text:
    electromagnetics and models for fluid flow. First we consider a simplified resistive MHD sub- model where we

  • Enabling metal-fill-aware design of integrated circuits

    Creator:
    Shilimkar, Vikas S.
    Abstract:
    In advanced integrated circuit (IC) processes, the metal fill inserted to meet foundry imposed density requirements degrades the performance of interconnects and passive components which ultimately affects the overall circuit performance. Accounting for this degradation through electromagnetic and equivalent circuit modeling is becoming a critical aspect of IC design. However,...
    Resource Type:
    Dissertation
    Full Text:
    Vikas S. Shilimkar for the degree of Doctor of Philosophy in Electrical and Computer Engineering