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

Undergraduate Thesis Or Project

Public Deposited

Citeable URL: https://ir.library.oregonstate.edu/concern/undergraduate_thesis_or_projects/cv43nx33b

Descriptions

Attribute Name	Values
Alternative Title	ORST-MATH-11-03
Creator	Bokil, Vrushali A. Leung, Aubrey C.-Y.
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 unconditionally stable. We also conduct a truncation error analysis to show that the scheme is rst order accurate in time and second order accurate in space. We compare the operator splitting method to the Yee scheme for discretizing the Maxwell-Debye system via stability, dispersion, and dissipation analyses. Numerical simulations validate the unconditional stability of the scheme. Keywords: Debye Media, FDTD (Yee) Scheme, Maxwell's Equations, Operator Splitting, Energy Decay, Dispersion, Stability
Resource Type	Undergraduate Thesis
Date Available	2011-09-08T12:37:10+00:00
Date Issued	2011-09-08
Degree Level	Bachelor's
Degree Name	Bachelor of Arts (B.A.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2011
Academic Affiliation	Mathematics
Rights Statement	In Copyright
Funding Statement (additional comments about funding)	National Science Foundation, REU Supplement to NSF:DMS-0811223
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/23059

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