Reflection and Refraction on the Boundary of a Left-Handed Material with a Hyperbolic Dispersion Relation
ZHONG Yu1,2, SHEN Lin-Fang1,2, RAN Li-Xin1,2, CHEN Xu-Dong3, Liisi Jylhä4, Tomasz M. Grzegorczyk5, Jin Au Kong1,2
1Electromagnetics Academy at Zhejiang University, Zhejiang University, Hangzhou 310058
2Department of Information and Electronic Engineering, Zhejiang University, Hangzhou 310027
3Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore
4Electromagnetics Laboratory, Helsinki University of Technology, P. O. 3000, FI-02015 TKK, Finland
5Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Reflection and Refraction on the Boundary of a Left-Handed Material with a Hyperbolic Dispersion Relation
ZHONG Yu1,2;SHEN Lin-Fang1,2;RAN Li-Xin1,2;CHEN Xu-Dong3;Liisi Jylhä4;Tomasz M. Grzegorczyk5;Jin Au Kong1,2
1Electromagnetics Academy at Zhejiang University, Zhejiang University, Hangzhou 310058
2Department of Information and Electronic Engineering, Zhejiang University, Hangzhou 310027
3Department of Electrical and Computer Engineering, National University of Singapore, 117576, Singapore
4Electromagnetics Laboratory, Helsinki University of Technology, P. O. 3000, FI-02015 TKK, Finland
5Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Abstract： Wave reflection and refraction at the interface between a normal media and a one-dimensional left-handed material (1DLHM) with a hyperbolic dispersion relationship is studied. It is found that in a special case that the boundary is perpendicular to one asymptotic line of the hyperbola, phase matching cannot be achieved unless the 1DLHM is regarded to be intrinsically lossy. After introducing a small loss factor to the 1DLHM, a reasonable solution for the phase matching is obtained. According to the analytical result, a wave confined to a thin layer near the boundary is found, which can be excited at the interface as a reflected wave or a refracted wave attenuating drastically away from the boundary inside the 1DLHM in both cases.
(Optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures)
引用本文:
ZHONG Yu;SHEN Lin-Fang;RAN Li-Xin;CHEN Xu-Dong;Liisi JylhäTomasz M. Grzegorczyk;Jin Au Kong;. Reflection and Refraction on the Boundary of a Left-Handed Material with a Hyperbolic Dispersion Relation[J]. 中国物理快报, 2006, 23(5): 1296-1298.
ZHONG Yu, SHEN Lin-Fang, RAN Li-Xin, CHEN Xu-Dong, Liisi Jylhä, Tomasz M. Grzegorczyk, Jin Au Kong,. Reflection and Refraction on the Boundary of a Left-Handed Material with a Hyperbolic Dispersion Relation. Chin. Phys. Lett., 2006, 23(5): 1296-1298.
2006, Vol. 23 
