Magnetic Response of nth Rose Curve Resonator in the RF Frequency Regime

Abstract

Permeability function and magnetic loss tangent of a medium composed of artificial magnetic material inclusions can be expressed in terms of the perimeter and area of an inclusion. This expression of the inclusion's magnetic response in terms of the geometric properties simplifies and facilitates the design process of the inclusion. Such new inclusion's circuit model creates flexibility and allows to the designer to achieve a specific constraints without the use of the intensive full wave electromagnetic simulation. In this paper, we apply a generalized model of the resonant behavior of an inclusion to study the nth order rose curve resonator (n-RCR) electromagnetic response. This study is based on a numerical and analytical simulation. A detailed parametric study on the transmission characteristics and the magnetic behavior of the n-RCR based on its physical and geometrical parameter is presented. The studied geometrical parameters are the perimeter, the area and the order of the rose curve resonator. Moreover, the width and the height of the printed conductor are defined as the principle physical parameters that will be analysed and investigated. Nth Rose curve resonator is a novel curve, considered as a generic candidate for the artificial magnetic materials and provides new characteristics not found in traditional resonators.

Generic Building Blocks for Construction of Artificial Magnetic Media

“…3). This geometry has been introduced by the author in [15], and it has been comprehensively studied by Sassi et al in [16]. The area of the produced curve is approximately equal to the area of the base circle because the area added with the sinusoidal crests is equal to the area reduced with the sinusoidal troughs.…”