On geometrical scaling of split-ring and double-bar resonators at optical frequencies

Abstract

In this paper we consider the resonant frequency of split-ring resonators and double-bar resonators used to create artificial magnetic response at terahertz and optical frequencies. It is known that geometrical scaling of the resonant frequency of split rings breaks down at high frequencies (in the visible) due to electromagnetic properties of metals at those frequencies. Here we will discuss this phenomenon in terms of equivalent inductance and capacitance of the ring, derive an approximate formula for the resonant frequency of split rings in the visible and show how the limiting value of the resonant frequency of extremely small split rings and double bars depends on particle shape.

References in corpus (3)

• Negative Index of Refraction in Optical Metamaterials
• Nanofabricated media with negative permeability at visible frequencies
• Negative Refractive Index in Optics of Metal-Dielectric Composites

Cited by in corpus (7)

• Plasmonic Metamaterials
• Casimir repulsion and metamaterials
• Magnetic response of nanoscale left-handed metamaterials
• Strong light-induced negative optical pressure arising from the kinetic energy of conduction electrons in plasmonic cavities
• On the Definition of Effective Permittivity and Permeability For Thin Composite Layers
• Hyperpolarizability of plasmonic meta-atoms in metasurfaces
• Plasmons and terahertz devices in graphene