Effective medium of stacked structure composed of periodic arrays of holes for low terahertz regime

ABSTRACT

In this paper, we study wave transmission via the stacked structures of the periodic arrays of two-dimensional holes drilled in metallic films using a simple analytical circuit model. The circuit model well explains the behavior of the multilayered structure for both thick and very thin metallic films. For very thin metallic films (equivalent to metallic meshes), the proposed surface admittance indicates that capacitive effects appear at high frequencies, while the common surface admittance obtained by heuristic approaches is purely inductive. We extract the effective medium of the structure. The effective medium is computed by solving the eigenvalues problem corresponding to the transfer matrix of a single unit cell of the structure. The comparison between the outcomes and those achieved through full-wave simulations shows excellent accordance with each other. The effective medium obtained for the structure shows which structure can act as the negative permittivity and epsilon-near-zero metamaterials at some frequencies regime.

KEYWORDS:

• Metamaterial
• effective medium
• hole array
• graphene
• absorption

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Notes on contributors

Saeedeh Barzegar-Parizi

Saeedeh Barzegar-Parizi received the B.Sc. degree from the Iran University of Science and Technology, Tehran, Iran, in 2008, and the M.Sc. and Ph.D. degrees from the Sharif University of Technology, Tehran, in 2010 and 2015, respectively, all in electrical engineering. She has been with the Department of Electrical Engineering, Sirjan University of Technology, where she is currently an Assistant Professor. Her research interests include the analytical solution of periodic structures, such as artificial structures and graphene.