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Going beyond Axisymmetry: 2.5D Vector Electromagnetics

dc.contributor.author Ciracì, Dr Cristian
dc.contributor.author Landy, Nathan I
dc.contributor.author Smith, David R
dc.contributor.author Urzhumov, Yaroslav A
dc.date.accessioned 2013-07-11T22:10:01Z
dc.date.available 2013-07-11T22:10:01Z
dc.date.issued 2012-10
dc.identifier.uri https://hdl.handle.net/10161/7569
dc.description.abstract Linear wave propagation through inhomogeneous structures of size R≫λ (Fig.1) is a computationally challenging problem, in particular when using finite element methods, due to the steep increase of the number of degrees of freedom as a function of R/λ. Fortunately, when the geometry of the problem possesses symmetries, one may choose an appropriate basis in which the stiffness matrix of the discretized problem is block-diagonal. A particular scenario is the case of a cylindrically-symmetric geometry, where an appropriate basis is the set of cylindrical waves with all possible azimuthal numbers (m). Each of the excited cylindrical harmonics propagate through the structure independently of all other harmonics, and therefore the fields associated with that harmonic can be found by solving an essentially two-dimensional PDE problem in the ρ-z (half)-plane. The cylindrical waves have a prescribed dependence on the azimuthal angle variable (φ), hence the name – 2.5D electromagnetics. This novel approach is applied to the problem of cloaking and wave scattering off a spherical nanoparticle on metallic and/or dielectric substrates.
dc.description.sponsorship COMSOL, Inc.
dc.language.iso en_US
dc.publisher COMSOL, Inc.
dc.relation.isversionof www.comsol.com/papers/13921/download/urzhumov_abstract.pdf
dc.subject Vector Electromagnetics
dc.subject FEM
dc.subject 2.5D
dc.subject Axisymmetry
dc.title Going beyond Axisymmetry: 2.5D Vector Electromagnetics
dc.type Journal article
dc.relation.journal Proceedings of COMSOL Conference Boston 2012


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