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  • 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:
    Propagation in Dispersive Media V. A. Bokil†and A. C-Y. Leung∗ Department of Mathematics Oregon State

  • Travelling Wave Analysis of Nonlinear Maxwell Models with Applications to Nonlinear Optics

    Creator:
    Langlie, Noah
    Abstract:
    In 1877 John Kerr described an experiment that demonstrated a quadratic change in refractive index in a plate glass placed in a strong external electric field. This results in a nonlinear relationship between the average electric polarization within the materials and the intensity of the applied electric field. This opened...
    Resource Type:
    Undergraduate Thesis
    Full Text:
    APPLICATIONS TO NONLINEAR OPTICS by Noah Langlie An undergraduate thesis advised by Vrushali A. Bokil

  • 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:
    : Qualitative Analysis of Maxwell-Duffing Models in Nonlinear Optics Abstract approved: Vrushali A. Bokil In

  • A Vector–Host Model for Coinfection by Barley/Cereal Yellow Dwarf Viruses

    Creator:
    Leung, Margaret-Rose W.
    Abstract:
    Barley and cereal yellow dwarf viruses (B/CYDV) are a suite of aphid-vectored pathogens that affect diverse host communities, including economically important crops. Coinfection of a single host by multiple strains of B/CYDV can result in elevated virulence, incidence, and transmission rates. We develop a model for a single host, two...
    Resource Type:
    Honors College Thesis
    Full Text:
    was senior year. Special thanks to my advisor and mentor, Vrushali Bokil, for her assistance

  • Finite Element and Finite Difference Methods for Maxwell’s Equations in Metamaterials

    Creator:
    Stallcup, Isaac A.
    Abstract:
    In this thesis, we consider Maxwell's Equations and their numerical discretization using finite difference and finite element methods. We first describe Maxwell's equations in linear dielectrics and then present finite difference and finite element methods for this case. We then describe Maxwell's equations in linear metamaterials using the Lorentz and...
    Resource Type:
    Honors College Thesis
    Full Text:
    approved: Vrushali Bokil In this thesis, we consider Maxwell’s Equations and their numerical

  • The Effect of Temperature on the Survival of Chinook Eggs and Fry

    Creator:
    Teose, Maarika
    Abstract:
    Temperature data from above and below the Cougar Dam collected by the U.S. Geological Survey prior to the construction of the temperature control structure was analyzed to determine how the di®ering temperature regimes a®ect the growth and survival of threatened spring- run Chinook salmon. An ARIMA time-series model was used...
    Resource Type:
    Honors College Thesis
    Full Text:
    Survival of Chinook Eggs and Fry. Abstract Approved: Edward Waymire Vrushali Bokil ABSTRACT

  • Numerical Simulation of a Thouless Pump

    Creator:
    Wall, Bryce
    Abstract:
    At the macroscopic scale, we have pumps that use the classical laws of physics to move liquids at a well defined rate. In the microscopic world, physicists are exploring pumps that make use of quantum mechanical behavior to build analogous pumps for quantum particles. The importance of such “quantum pumps”...
    Resource Type:
    Honors College Thesis
    Full Text:
    , representing Physics Vrushali Bokil, Committee Member, representing Mathematics Elizabeth Gire, Committee

  • Music Generation and Evaluation Using R

    Creator:
    Lanz, Andrea L.
    Abstract:
    The main goal of this project is to implement an algorithmic music composition procedure and present all procedures and results in a reproducible fashion by creating a web application produced by R. To approach the implementation of the algorithmic composition of music, we start by exploring various models, but ultimately...
    Resource Type:
    Honors College Thesis
    Full Text:
    APPROVED: Charlotte Wickham, Mentor, representing Statistics Vrushali Bokil, Committee Member

  • Modeling of Power Efficiency in a Magnetohydrodynamic Generator

    Creator:
    Redle, Michael T.
    Abstract:
    The introduction of an Magnetohydrodynamic (MHD) generator in coal or natural gas energy plants could significantly increase the efficiency by converting kinetic and thermal energy of the combustion exhaust to electrical energy by the generation of a Faraday and Hall current. The traditional MHD system was transformed into a simplified...
    Resource Type:
    Honors College Thesis
    Full Text:
    , Mentor, representing the Department of Mathematics Vrushali A. Bokil, Committee Member, representing the