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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 8 — Apr. 13, 2009
  • pp: 6747–6752

Analytical solution for wave propagation through a graded index interface between a right-handed and a left-handed material

Mariana Dalarsson and Philippe Tassin  »View Author Affiliations


Optics Express, Vol. 17, Issue 8, pp. 6747-6752 (2009)
http://dx.doi.org/10.1364/OE.17.006747


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Abstract

We have investigated the transmission and reflection properties of structures incorporating left-handed materials with graded index of refraction. We present an exact analytical solution to Helmholtz’ equation for a graded index profile changing according to a hyperbolic tangent function along the propagation direction. We derive expressions for the field intensity along the graded index structure, and we show excellent agreement between the analytical solution and the corresponding results obtained by accurate numerical simulations. Our model straightforwardly allows for arbitrary spectral dispersion.

© 2009 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(160.3918) Materials : Metamaterials

ToC Category:
Physical Optics

History
Original Manuscript: February 27, 2009
Revised Manuscript: April 6, 2009
Manuscript Accepted: April 6, 2009
Published: April 8, 2009

Citation
Mariana Dalarsson and Philippe Tassin, "Analytical solution for wave propagation through a graded index interface between a right-handed and a left-handed material," Opt. Express 17, 6747-6752 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-8-6747


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