Error-Controlled Boundary Element Modeling of 3D Plasmonic Nano-Structures via Higher- Order Locally Corrected Nyström Method

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Work by: Mohammad Shafieipour and Vladimir Okhmatovski

Published in: 2015 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting

Abstract: Traditional low order numerical method of computational electromagnetics produce notably higher error when applied to analysis of plasmonic nano-structures compared to the structures with conventional values of permittivity and permeability. The high error levels are typically observed at the junctions of the low-order elements on the surface of such structures. It is caused by the artificial geometrical discontinuities resulted from flat panelled approximation of the physically smooth surface. Increase of the low-order discretization density typically does not reduce such error effectively. In this work we describe higher-order boundary element modelling approach which eliminates such errors and provides error-controlled approximation of the fields in arbitrary smooth 3D structures down to machine precision if necessary. The approach is based on higher-order Locally Corrected Nystrom discretization of the traditional surface Electric Field and Magnetic Field integral equations formulated for multi-region penetrable objects.

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Below is a practice session that I recorded one day prior to the presentation. So, it is very similar to what I actually presented.

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