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

Honors College Thesis

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Citeable URL: https://ir.library.oregonstate.edu/concern/honors_college_theses/x059cd51j

Descriptions

Attribute Name	Values
Alternative Title	FEM and FDM 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 Drude models. Finally, we construct a finite element method for Maxwell's Equations in a Lorentz metamaterial. An exact solution of the model system, involving both partial differential equations of the Maxwell system and ordinary differential equations describing the response of the Lorentz metamaterial, is constructed. Finite element simulations are then performed and tested against this exact solution to demonstrate the accuracy of the method.
License	All rights reserved
Resource Type	Honors College Thesis
Fecha de Emisión	2018-03-16
Degree Level	Bachelor's
Degree Name	Honors Bachelor of Science (H.B.S.)
Degree Field	Computer Science Mathematics
Degree Grantor	Oregon State University
Commencement Year	2018
Advisor	Bokil, Vrushali A.
Committee Member	Cozzi, Elaine Gibson, Nathan
Non-Academic Affiliation	Oregon State University. Honors College
Declaración de derechos	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]

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Miniatura	Título	Fecha de subida	Visibilidad	Acciones
	StallcupIsaacA2018.pdf	2018-03-16	Público	Descargar