Spatial Harmonics and Homogenization of Negative-Refractive-Index Transmission-Line Structures

Author

Zedler, Michael ; Eleftheriades, George V.

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada

Volume

58

Issue

6

fYear

2010

fDate

6/1/2010 12:00:00 AM

Firstpage

1521

Lastpage

1531

Abstract

In this paper, we discuss negative-refractive-index transmission-line (NRI-TL) metamaterial structures with respect to spatial harmonics. The power in the fundamental spatial harmonic is shown to yield a measure that relates to the homogeneity of the metamaterial. It is shown that NRI-TL metamaterials yield highly homogeneous field distributions if both the unit cell is short compared to the guided wavelength, and if the unloaded unit cell is short compared to the “free space” wavelength. Based on the homogeneity, we provide practical design choices for NRI-TL metamaterial unit cells. Under the restriction of a high homogeneity we derive expressions for extracting an effective permittivity and permeability. Circuit theory results and full-wave eigenmode simulations of two NRI-TL structures are presented.

Keywords

magnetic permeability; metamaterials; permittivity; refractive index; transmission lines; NRI-TL metamaterial structure; circuit theory; free space wavelength; full-wave eigenmode simulation; guided wavelength; homogeneous field distribution; metamaterial unit cell; negative-refractive-index transmission-line metamaterial structure; permeability; permittivity; spatial harmonics; unloaded unit cell; Homogenization; metamaterial; negative-refractive-index transmission line (NRI-TL);

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2010.2049160

Filename

5466250