Zeng Yong, Liu Jinjie, Werner Douglas H
Department of Electrical Engineering, The Pennsylvania State University,University Park, PA 16802, USA.
Opt Express. 2011 Oct 10;19(21):20035-47. doi: 10.1364/OE.19.020035.
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.
