Vol. 51

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2004-12-10

Reflection Coefficients and Goos-Hanchen Shifts in Anisotropic and Bianisotropic Left-Handed Metamaterials

By Tomasz M. Grzegorczyk, Xudong Chen, Joe Pacheco, Jianbing Chen, Bae-Ian Wu, and Jin Kong
Progress In Electromagnetics Research, Vol. 51, 83-113, 2005
doi:10.2528/PIER04040901

Abstract

We show in this paper that metamaterials in which some components of the permittivity and permeability tensors can have negative real values (thus associated with left-handed metamaterials) call for a reconsideration of the common concepts of critical angle and Brewster angle. By studying the reflection coefficient for isotropic and biaxial half-spaces and slabs, we show that a metamaterial for which the Brewster angle appears beyond the critical angle is realizable. In addition, we also show that the Goos-Hänchen shift induced by left-handed isotropic slabs is not necessarily negative but could be positive when the second interface of the slab supports a surface plasmon. Finally, upon studying a bianisotropic metamaterial, we show that propagation at a negative angle can occur, although it would not if only the permittivity and permeability tensors were considered. All the results have been obtained using an eigenvalue method which we extend to bianisotropic media in this paper.

Citation

 (See works that cites this article)
Tomasz M. Grzegorczyk, Xudong Chen, Joe Pacheco, Jianbing Chen, Bae-Ian Wu, and Jin Kong, "Reflection Coefficients and Goos-Hanchen Shifts in Anisotropic and Bianisotropic Left-Handed Metamaterials," Progress In Electromagnetics Research, Vol. 51, 83-113, 2005.
doi:10.2528/PIER04040901
http://www.jpier.org/PIER/pier.php?paper=0404091

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