Development of the Finite Difference Time Domain Method on a Lebedev Grid for Anisotropic Materials

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atmire.migration.oldid490
dc.contributor.advisorPotter, Mike
dc.contributor.advisorOkoniewski, Michal
dc.contributor.authorNauta, Marcel
dc.date.accessioned2012-12-14T16:43:05Z
dc.date.available2013-06-15T07:01:39Z
dc.date.issued2012-12-14
dc.date.submitted2012en
dc.description.abstractThe finite-difference time-domain (FDTD) method is derived on a Lebedev grid, instead of the standard Yee grid, to better represent the constitutive relations in anisotropic materials. The Lebedev grid extends the Yee grid by approximating Maxwell's equations with tensor constitutive relations using only central differences. A dispersion relation with stability criteria is derived and it is proven that the Lebedev grid has a consistent calculus. An integral derivation of the update equations illustrates how to appropriately excite the grid. This approach is also used to derive the update equations at planar material interfaces and domain edge PEC. Lebedev grid results are compared with analytical and Yee grid solutions using an equal memory comparison. Numerical results show that the Lebedev grid suffers greater dispersion error but better represents material interfaces. Focus is given to generalizing the concepts that make the Yee grid robust for isotropic materials.en_US
dc.identifier.citationNauta, M. (2012). Development of the Finite Difference Time Domain Method on a Lebedev Grid for Anisotropic Materials (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/25689en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/25689
dc.identifier.urihttp://hdl.handle.net/11023/355
dc.language.isoeng
dc.publisher.facultyGraduate Studies
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.subjectEngineering--Electricity and Magnetism
dc.subjectComputer Science
dc.subjectEngineering--Electronics and Electrical
dc.subject.classificationFDTDen_US
dc.subject.classificationAnisotropic Materialsen_US
dc.subject.classificationComputational Electromagneticsen_US
dc.titleDevelopment of the Finite Difference Time Domain Method on a Lebedev Grid for Anisotropic Materials
dc.typemaster thesis
thesis.degree.disciplineElectrical and Computer Engineering
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameMaster of Science (MSc)
ucalgary.item.requestcopytrue
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