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dc.contributor.advisorChen, Ray T.en
dc.creatorMohandas, Prakashen
dc.date.accessioned2015-12-08T21:44:31Zen
dc.date.available2015-12-08T21:44:31Zen
dc.date.issued2006-12en
dc.identifierdoi:10.15781/T2WH09en
dc.identifier.urihttp://hdl.handle.net/2152/32706en
dc.descriptiontexten
dc.description.abstractA simulation study of the modes of propagation through a 3D photonic crystal using a C++ eigen value solver is presented in this work. The valid modes of propagation through a photonic crystal can be obtained by equating the field equations across the crystal boundary, which when rearranged gives rise to a complex eigen value problem. A 2D photonic crystal would yield a comparatively simple solution but the work in this thesis looks at a 3D photonic crystal which introduces a multifold of solutions. The enormity of the solution space of this problem demands that the simulation be run on a larger environment than a PC. C++ being the most compatible coding language for advanced multi processor computing systems became the obvious choice as the simulation platform. The problem of conventional computational engines such as MATLAB not having the memory capability or the speed on a PC is the primary motivation for the development of a C++ computational model. This thesis approaches the problem in multiple steps such as generating a fourier coefficient matrix for the boundary equation, solving for all the eigen values inside the crystal. The eigen values solver in this work is setup for a symmetric 3D photonic crystal. The code allows enough room for extension of the work to ultimately obtaining the valid modes in the nonsymmetric crystal.en
dc.format.mediumelectronicen
dc.language.isoengen
dc.relation.ispartofUT Electronic Theses and Dissertationsen
dc.rightsCopyright © is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subjectPhotonic crystalen
dc.subjectC++en
dc.subjectEigen value solveren
dc.titleEigen value solver in C++ for a 3D photonic crystalen
dc.typeThesisen
dc.description.departmentElectrical and Computer Engineeringen
dc.type.genreThesisen
thesis.degree.departmentElectrical and Computer Engineeringen
thesis.degree.disciplineElectrical and Computer Engineeringen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelMastersen
thesis.degree.nameMaster of Scienceen
dc.rights.restrictionRestricteden


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