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

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...

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Bibliographic Details
Published inOptics express Vol. 17; no. 8; pp. 6747 - 6752
Main Authors Dalarsson, Mariana, Tassin, Philippe
Format Journal Article
LanguageEnglish
Published United States 13.04.2009
Subjects
analytical solution
Computer Simulation
continuous media
Electrical engineering, electronics and photonics
electrodynamics
Elektroteknik, elektronik och fotonik
graded index
Light
Manufactured Materials
metamaterials
Models, Theoretical
Refractometry - methods
Scattering, Radiation
TECHNOLOGY
TEKNIKVETENSKAP
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1094-4087
1094-4087
DOI:10.1364/OE.17.006747