Investigation of Vertical Spiral Resonators for Low Frequency Metamaterial Design

TL;DR

This paper investigates vertical spiral resonators (VSR) for low-frequency metamaterials, analyzing their characteristics, modeling their behavior, and examining how geometry influences their resonant frequency.

Contribution

It provides a quasistatic analytical model of VSR and studies the impact of geometrical parameters on their resonant frequency.

Findings

VSR exhibit high Q factors and small sizes relative to wavelength.

The quasistatic model accurately predicts VSR behavior.

Geometrical parameters significantly affect the resonant frequency.

Abstract

This paper thoroughly explores the characteristics of vertical spiral resonators (VSR). They exhibit rela-tively high Q factors and sizes around a few percent of the free space wavelength, which make them ideal candi-dates for assembling metamaterial devices. A quasistatic model of VSR is obtained from simple analytical ex-pressions, and the effects of certain geometrical parameters on the resonant frequency are investigated.