General properties of two-dimensional conformal transformations in electrostatics

Yong Zeng, Jinjie Liu, Douglas H. Werner

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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.

Original languageEnglish (US)
Pages (from-to)20035-20047
Number of pages13
JournalOptics Express
Volume19
Issue number21
DOIs
Publication statusPublished - Oct 10 2011

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All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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