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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 21 — Oct. 10, 2011
  • pp: 20035–20047

General properties of two-dimensional conformal transformations in electrostatics

Yong Zeng, Jinjie Liu, and Douglas H. Werner  »View Author Affiliations


Optics Express, Vol. 19, Issue 21, pp. 20035-20047 (2011)
http://dx.doi.org/10.1364/OE.19.020035


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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.

© 2011 OSA

OCIS Codes
(000.3860) General : Mathematical methods in physics
(250.5403) Optoelectronics : Plasmonics

ToC Category:
Physical Optics

History
Original Manuscript: May 27, 2011
Revised Manuscript: July 13, 2011
Manuscript Accepted: September 17, 2011
Published: September 29, 2011

Citation
Yong Zeng, Jinjie Liu, and Douglas H. Werner, "General properties of two-dimensional conformal transformations in electrostatics," Opt. Express 19, 20035-20047 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-21-20035


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