Search Constraints

Start Over
Filtering by: Alternative title ssim Polynomial Chaos for Dispersive Electromagnetics Remove constraint Alternative title ssim: Polynomial Chaos for Dispersive Electromagnetics Decade 2010-2019 Remove constraint Decade: 2010-2019

Search Results

  • A Polynomial Chaos Method for Dispersive Electromagnetics

    Creator:
    Gibson, Nathan L.
    Abstract:
    Electromagnetic wave propagation in complex dispersive media is governed by the time dependent Maxwell’s equations coupled to equations that describe the evolution of the induced macroscopic polarization. We consider “polydispersive” materials represented by distributions of dielectric parameters in a polarization model. The work focuses on a novel computational framework for...
    Resource Type:
    Article
    Full Text:
    polynomial chaos model (34) for an electromagnetic field propagating through a dispersive dielectric media

  • 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

  • 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

  • A Sequential Operator Splitting Method for Electromagnetic Wave Propagation in Dispersive Media

    Creator:
    Bokil, Vrushali and Leung, Aubrey
    Abstract:
    In this report we consider the Debye model along with Maxwell's equations (Maxwell-Debye) to model electromagnetic wave propagation in dispersive media that exhibit orientational polarization. We construct and analyze a sequential operator splitting method for the discretization of the Maxwell-Debye system. Energy analysis indicates that the operator splitting scheme is...
    Resource Type:
    Undergraduate Thesis
    Full Text:
    A Sequential Operator Splitting Method for Electromagnetic Wave

  • High-Order Staggered Finite Difference Methods for Maxwell's Equations in Dispersive Media

    Creator:
    Bokil, Vrushali A. and Gibson, Nathan L.
    Abstract:
    We study the stability properties of, and the phase error present in, several higher order (in space) staggered finite difference schemes for Maxwell's equations coupled with a Debye or Lorentz polarization model. We present a novel expansion of the symbol of finite difference approximations, of arbitrary (even) order, of the...
    Resource Type:
    Technical Report
    Full Text:
    . 1 Introduction The computational simulation of electromagnetic interrogation problems, for the

  • 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