Vector basis function solution of Maxwell's equations

dc.contributor.advisorHalas, Naomi J.en_US
dc.creatorSarkar, Dipankaren_US
dc.date.accessioned2009-06-04T08:05:55Zen_US
dc.date.available2009-06-04T08:05:55Zen_US
dc.date.issued1997en_US
dc.description.abstractA general technique for solving Maxwell's equations exactly, based on expansion of the solution in a complete set of vector basis functions has been developed. These vector eigenfunctions are derived from the complete set of separable solutions to the scalar Helmholtz equation in a particular coordinate system and are shown to form a complete set. The method is applicable to a variety of problems including the study of near and far field electromagnetic scattering from particles with arbitrary shapes, plasmon resonances in spherical nanoparticles with spherically concentric 'shells' and the calculation of plasmon resonances in the sphere-plane geometry. An exact method for solving the inhomogenous Maxwell's equation (i.e., in the presence of charges and currents) is also outlined.en_US
dc.format.extent174 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS E.E. 1997 SARKARen_US
dc.identifier.citationSarkar, Dipankar. "Vector basis function solution of Maxwell's equations." (1997) Diss., Rice University. <a href="https://hdl.handle.net/1911/19204">https://hdl.handle.net/1911/19204</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/19204en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectMathematicsen_US
dc.subjectPhysicsen_US
dc.subjectElectromagneticsen_US
dc.subjectOpticsen_US
dc.titleVector basis function solution of Maxwell's equationsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentElectrical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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