General properties of two-dimensional conformal transformations in electrostatics.
作者信息
Zeng Yong, Liu Jinjie, Werner Douglas H
机构信息
Department of Electrical Engineering, The Pennsylvania State University,University Park, PA 16802, USA.
出版信息
Opt Express. 2011 Oct 10;19(21):20035-47. doi: 10.1364/OE.19.020035.
PMID:21997014
Abstract
Electrostatic properties of two-dimensional nanosystems can be completely described by their non-trivial geometry modes. In this paper we prove that these modes as well as the corresponding eigenvalues are invariant under any conformal transformation. This invariance suggests a new way to study electrostatic conformal transformations, while also providing an in-depth interpretation of the behavior exhibited by singular plasmonic nanoparticles.
摘要
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