General properties of two-dimensional conformal transformations in electrostatics

Yong Zeng, Jinjie Liu, Douglas H. Werner

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)20035-20047
Number of pages13
JournalOptics Express
Issue number21
StatePublished - Oct 10 2011

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics


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