title: General properties of two-dimensional conformal transformations in electrostatics.
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.
authors: Department of Electrical Engineering, The Pennsylvania State University,University Park, PA 16802, USA. yongz@lanl.gov
authors: Yong
authors: Y
authors: Zeng
authors: Jinjie
authors: J
authors: Liu
authors: Douglas H
authors: DH
authors: Werner
mesh_terms: D000465:Algorithms; D008422:Materials Testing; D015233:Models, Statistical; D008962:Models, Theoretical; D053758:Nanoparticles / Q000737:chemistry*; D055095:Optics and Photonics / Q000379:methods*; D010825:Physics / Q000379:methods*; D055672:Static Electricity; D020349:Surface Plasmon Resonance