Convergence Analysis of Yee Schemes for Maxwell's Equations in Debye and Lorentz Dispersive Media

Technical Report

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Citeable URL: https://ir.library.oregonstate.edu/concern/technical_reports/zg64tm36b

Descriptions

Attribute Name	Values
Creator	Bokil, V. A. Gibson, N. L.
Abstract	We present discrete energy decay results for the Yee scheme applied to Maxwell's equations in Debye and Lorentz dispersive media. These estimates provide stability conditions for the Yee scheme in the corresponding media. In particular, we show that the stability conditions are the same as those for the Yee scheme in a nondispersive dielectric. However, energy decay for the Maxwell-Debye and Maxwell-Lorentz models indicate that the Yee schemes are dissipative. The energy decay results are then used to prove the convergence of the Yee schemes for the dispersive models. We also show that the Yee schemes preserve the Gauss divergence laws on its discrete mesh. Numerical simulations are provided to justify the theoretical results.
Resource Type	Technical Report
Date Available	2013-05-06T23:22:14+00:00
Date Issued	2013-05-06
Academic Affiliation	Mathematics
Palavra-chave	Maxwell's Equations convergence analysis Debye, Lorentz dispersive materials Yee, FDTD Method energy decay
Declaração de direitos	In Copyright
Funding Statement (additional comments about funding)	The research presented here was partially funded by the NSF grant DMS \# 0811223.
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/38475

Miniatura	Título	Data de carga	Acesso	Ações
	ConvAnalYeeDisp_TR.pdf	2017-07-07	Público	Baixar