Index Catalog // ScholarsArchive@OSU

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

The implicit derivative matching technique for Maxwell's equations in complex heterogeneous media

Creator:: Kirk, Anna Rae
Abstract:: We construct an implicit derivative matching (IDM) technique for restoring the accuracy of the Yee scheme for Maxwell's equations in dispersive media with material interfaces in one dimension. We consider media exhibiting orientational polarization, which are represented using a Debye dispersive model, examples of which are water and living tissue....
Resource Type:: Masters Thesis
Full Text:: Technique for Maxwell’s Equations in Complex Heterogeneous Media Abstract approved: Vrushali A. Bokil We

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

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:: for Maxwell’s Equations in Dispersive Media Abstract approved: Vrushali A. Bokil Accurate modeling

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:: Abstract approved: Vrushali A. Bokil In this dissertation, we introduce a family of fully discrete finite

Non-spatial and spatial models for multi-host pathogen spread in competing species : applications to barley yellow dwarf virus and rinderpest

Creator:: Manore, Carrie Anna
Abstract:: Modeling and analyzing the combined effects of disease and population dynamics is important in understanding the effects of mechanisms such as pathogen transmission and direct competition between host species on the distribution and abundance of different species in an ecological community. Mathematical analysis of such models in a spatially explicit...
Resource Type:: Dissertation
Full Text:: : Vrushali A. Bokil Modeling and analyzing the combined effects of disease and population dynamics is

An Analysis of the Coexistence of Three Competing Species with a Shared Pathogen

Creator:: Bokil, Vrushali A. and Leung, Margaret-Rose
Abstract:: We consider an SI model of three competing species that are all affected by a single pathogen which is transmitted directly via mass action. The total population sizes of the three species satisfy a three-dimensional Lotka-Volterra competition model. We address the interaction between competition and disease dynamics, and show that...
Resource Type:: Technical Report
Full Text:: Pathogen M.-R. Leung∗ and V. A. Bokil† Department of Mathematics Oregon State University Corvallis, OR

ScholarsArchive@OSU

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

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

Qualitative Analysis of Maxwell-Duffing Models in Nonlinear Optics

The implicit derivative matching technique for Maxwell's equations in complex heterogeneous media

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

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

Operator splitting methods for Maxwell's equations in dispersive media

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

Non-spatial and spatial models for multi-host pathogen spread in competing species : applications to barley yellow dwarf virus and rinderpest

An Analysis of the Coexistence of Three Competing Species with a Shared Pathogen

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