Going beyond Axisymmetry: 2.5D Vector Electromagnetics
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.
Type
Journal articlePermalink
https://hdl.handle.net/10161/7569Published Version (Please cite this version)
www.comsol.com/papers/13921/download/urzhumov_abstract.pdf
Collections
More Info
Show full item recordScholars@Duke
Yaroslav A. Urzhumov
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

Articles written by Duke faculty are made available through the campus open access policy. For more information see: Duke Open Access Policy
Rights for Collection: Scholarly Articles
Works are deposited here by their authors, and represent their research and opinions, not that of Duke University. Some materials and descriptions may include offensive content. More info