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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 15 — Jul. 19, 2010
  • pp: 15876–15886

Surface integral equation formulation for the analysis of left-handed metamaterials

J. Rivero, J. M. Taboada, L. Landesa, F. Obelleiro, and I. García-Tuñón  »View Author Affiliations


Optics Express, Vol. 18, Issue 15, pp. 15876-15886 (2010)
http://dx.doi.org/10.1364/OE.18.015876


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Abstract

A surface integral equation (SIE) formulation is applied to the analysis of electromagnetic problems involving three-dimensional (3D) piecewise homogenized left-handed metamaterials (LHM). The resulting integral equations are discretized by the well-known method of moments (MoM) and solved via an iterative process. The unknowns are defined only on the interfaces between different media, avoiding the discretization of volumes and surrounding space, which entails a drastic reduction in the number of unknowns arising in the numerical discretization of the equations. Besides, the SIE-MoM formulation inherently includes the radiation condition at infinity, so it is not necessary to artificially include termination absorbing boundary conditions. Some 3D numerical examples are presented to confirm the validity and versatility of this approach on dealing with LHM, also providing some intuitive verifications of the singular properties of these amazing materials.

© 2010 OSA

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(350.3618) Other areas of optics : Left-handed materials
(160.3918) Materials : Metamaterials

ToC Category:
Physical Optics

History
Original Manuscript: May 25, 2010
Revised Manuscript: June 21, 2010
Manuscript Accepted: June 24, 2010
Published: July 12, 2010

Citation
J. Rivero, J. M. Taboada, L. Landesa, F. Obelleiro, and I. García-Tuñón, "Surface integral equation formulation for the analysis of left-handed metamaterials," Opt. Express 18, 15876-15886 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-15-15876


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