Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Effective Material Property Extraction of a Metamaterial by taking boundary effects into account at TE/TM polarized incidence



Sung Kim, Christopher L. Holloway, James R. Baker-Jarvis, Edward Kuester, A D. Scher


In this paper, we present the extraction for effective material parameters for a metamaterial from TE or TM waveguide measurements with generalized sheet transition conditions (GSTCs)used to provide electric and magnetic surface susceptibilities that approximate boundary effects between the metamaterial and air. The retrieval algorithm determines the effective material properties via scattering data obtained from the metamaterial in a waveguide. The effective refractive index is expressed as a function of S-parameters for two samples of different length. The effective wave impedance is given in terms of S-parameters and the refractive index, assuming that GSTCs account for the boundary effects. The effective permittivity and permeability can then be determined through the refractive index and wave impedance. By use of S-parameters generated by commercial three-dimensional (3-D) full-wave simulation software our present equations are tested for two cases of metamaterials: magneto-dielectric ("r = ¹r) and dielectric (TiO2) particles. We also conduct S-parameter measurements on dielectric cubes with an S-band (WR-284) waveguide to compute the effective material properties. Furthermore, our results are compared to those derived from another retrieval method used in the literature, which does not account for boundary effects.
Progress in Electromagnetics Research-Pier


Kim, S. , Holloway, C. , Baker-Jarvis, J. , Kuester, E. and Scher, A. (2012), Effective Material Property Extraction of a Metamaterial by taking boundary effects into account at TE/TM polarized incidence, Progress in Electromagnetics Research-Pier, [online], (Accessed July 25, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created January 31, 2012, Updated June 2, 2021