Going beyond Axisymmetry: 2.5D Vector Electromagnetics
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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.
Published Version (Please cite this version)www.comsol.com/papers/13921/download/urzhumov_abstract.pdf
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James B. Duke Distinguished Professor of Electrical and Computer Engineering
Dr. David R. Smith is currently the James B. Duke Professor of Electrical and Computer Engineering Department at Duke University. He is also Director of the Center for Metamaterials and Integrated Plasmonics at Duke and holds the positions of Adjunct Associate Professor in the Physics Department at the University of California, San Diego, and Visiting Professor of Physics at Imperial College, London. Dr. Smith received his Ph.D. in 1994 in Physics from the University of California, San Dieg
Adjunct Assistant Professor in the Department of Electrical and Computer Engineering
<!--[if gte mso 9]> <![endif]--> <!--[if gte mso 9]> <![endif]-->Dr. Urzhumov is Adjunct Assistant Professor of ECE at Duke University, and also a Technologist at the Metamaterials Commercialization Center of Intellectual Ventures. Previously a research faculty at Duke, he works on applied and theoretical aspects of metama
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