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Mathematical and numerical modeling of electromagnetism in heterogeneous media using homogenization of Maxwell's equations
2000 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

The homogenization method is a good tool for modeling heterogeneous materials. Here we examine electromagnetics in linear, heterogeneous media by further investigating previous homogenization results for Maxwell's equations. These results seem to imply that the effective permittivity and conductivity of a composite material could be frequency dependent, regardless of the frequency dependence of the composite's individual components. We derive a new homogenization theorem which shows that the effective electromagnetic properties (permittivity, conductivity and permeability) are all constant. We also use the new theorem to calculate the effective permittivity and conductivity of certain composites, and we compare these results to experimental measurements carried out at the Swedish Defence Research Establishment.

Place, publisher, year, edition, pages
Keyword [en]
Technology, homogenization, Maxwell's equations, homogenisation, composites materials, permittivity, conductivity, permeability, heterogenous media
Keyword [sv]
URN: urn:nbn:se:ltu:diva-46696ISRN: LTU-EX--00/302--SELocal ID: 44ff7f4f-cc88-45f7-b677-c27f7b61444fOAI: diva2:1020011
Subject / course
Student thesis, at least 30 credits
Educational program
Engineering Physics, master's level
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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