General Properties of Two-dimensional Conformal Transformation in Electrostatics
Classical Physics
2015-05-20 v2
Abstract
Electrostatic properties of two-dimensional nanosystems can be described by their geometry resonances. In this paper we prove that these modes as well as the corresponding eigenvalues are invariant under any conformal transformation. This invariance further leads to a new way to studying the transformed structures. Namely, transforming a geometry is equivalent to modifying the strengths of these invariant eigenmodes excited by the external excitations.
Cite
@article{arxiv.1012.3217,
title = {General Properties of Two-dimensional Conformal Transformation in Electrostatics},
author = {Yong Zeng and Jinjie Liu and Douglas H. Werner},
journal= {arXiv preprint arXiv:1012.3217},
year = {2015}
}