Analytical approach to lossy wave propagation through a graded interface containing negative index material

Author

Dalarsson, M. ; Norgren, M. ; Dalarsson, N. ; Jaksic, Z.

Author_Institution

R. Inst. of Technol., Stockholm, Sweden

Volume

1

fYear

2011

fDate

5-8 Oct. 2011

Firstpage

39

Lastpage

42

Abstract

The transmission and reflection properties of lossy structures involving left-handed materials with graded permittivity and permeability have been investigated. We present an exact analytical solution to Helmholtz´ equation for a lossy case with the graded real parts of permittivity and permeability profile changing according to a hyperbolic tangent function along the direction of propagation. The simple analytical solutions and graphical results for the field intensity along the graded structure are presented. The model straightforwardly allows for arbitrary temporal dispersion.

Keywords

Helmholtz equations; light propagation; light reflection; light transmission; metamaterials; optical dispersion; permeability; permittivity; Helmholtz equation; arbitrary temporal dispersion; graded interface; graded permeability; graded permittivity; hyperbolic tangent function; left-handed materials; lossy structures; lossy wave propagation; negative index material; reflection properties; transmission properties; Indexes; Magnetic materials; Mathematical model; Metamaterials; Permeability; Permittivity; Graded Index; Metamaterials; Negative Refractive Index; Transformation Optics;

fLanguage

English

Publisher

ieee

Conference_Titel

Telecommunication in Modern Satellite Cable and Broadcasting Services (TELSIKS), 2011 10th International Conference on

Conference_Location

Nis

Print_ISBN

978-1-4577-2018-5

Type

conf

DOI

10.1109/TELSKS.2011.6112075

Filename

6112075