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dc.contributor.advisor Halas, Naomi J.
dc.creatorSarkar, Dipankar
dc.date.accessioned 2009-06-04T08:05:55Z
dc.date.available 2009-06-04T08:05:55Z
dc.date.issued 1997
dc.identifier.urihttp://hdl.handle.net/1911/19204
dc.description.abstract A 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.
dc.format.extent 174 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectMathematics
Physics
Electromagnetics
Optics
dc.title Vector basis function solution of Maxwell's equations
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Physics
thesis.degree.discipline Natural Sciences
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation Sarkar, Dipankar. "Vector basis function solution of Maxwell's equations." (1997) PhD diss., Rice University. http://hdl.handle.net/1911/19204.


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