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An approximation for reflection and transmission coefficients of periodic arrays of metal rings and circular slots

Özis, Ezgi and Osipov, Andrey and Eibert, Thomas (2017) An approximation for reflection and transmission coefficients of periodic arrays of metal rings and circular slots. Kleinheubacher Tagung 2017, 25.-27. Sep. 2017, Miltenberg, Deutschland.

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Abstract

As long as the wavelength of the incident electromagnetic wave is larger than the unit cell, electromagnetic properties of metamaterials and meta-sheets can be approximated by equivalent circuit models. These models consist of reactances and capacitances with values that can be estimated analytically only for several specific particle shapes. For metal circular rings, which are the focus of our study, the equivalent circuit model has not been developed yet. In this study the complex reactance and capacitance are described by Taylor series in terms of the radius of the ring. The corresponding analytical transmission function is fitted to full-wave simulations to determine the coefficients of the expansion. By using the Babinet principle, the reflection coefficient of the complementary structure (periodic array of circular slots in a metal screen) is obtained from the transmission coefficient of the ring array without recalculation. It is assumed that the influence of the thin dielectric substrate and of the thickness of the planar particle on reflection/transmission can be neglected. The developed approximation is used to describe the bandpass and bandstop behavior of meta-sheets in the microwave frequency range.

Item URL in elib:https://elib.dlr.de/113213/
Document Type:Conference or Workshop Item (Speech)
Title:An approximation for reflection and transmission coefficients of periodic arrays of metal rings and circular slots
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Özis, EzgiUNSPECIFIEDhttps://orcid.org/0000-0001-6516-7395
Osipov, AndreyUNSPECIFIEDhttps://orcid.org/0000-0001-8678-9652
Eibert, Thomastu münchenUNSPECIFIED
Date:2017
Refereed publication:No
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Metasheets, electromagnetic reflection, electromagnetic transmission, equivalent circuit models, periodic arrays, circular metal rings, circular slots in a metal screen
Event Title:Kleinheubacher Tagung 2017
Event Location:Miltenberg, Deutschland
Event Type:national Conference
Event Dates:25.-27. Sep. 2017
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Military Technologies
Location: Oberpfaffenhofen
Institutes and Institutions:Microwaves and Radar Institute > Reconnaissance and Security
Deposited By: Osipov, Dr. Andrey
Deposited On:10 Aug 2017 13:17
Last Modified:11 Apr 2018 19:53

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