An Equivalent Circuit Model of Single Circular Open-Ring Resonators

Abstract

<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> Circular open-ring resonators (ORR) merit special attention in many applications. They form the backbone of metamaterials. Therefore, a simple and accurate <emphasis emphasistype="italic">LC</emphasis> model is required to allow the behavior of the structure to be analyzed from the geometric parameters. In this paper, we propose an analytical model to compute the <emphasis emphasistype="italic">LC</emphasis> resonant frequency response. The model is verified numerically and experimentally in millimeter-wave frequency range with a normal incidence illumination. Moreover, the effect of the geometric parameters has been also studied. The results are very motivating and a good agreement is obtained. </para>