Multipole nonlinearity of metamaterials

Abstract

We report on the linear and nonlinear optical response of metamaterials evoked by first and second order multipoles. The analytical ground on which our approach bases permits for new insights into the functionality of metamaterials. For the sake of clarity we focus here on a key geometry, namely the split-ring resonator, although the introduced formalism can be applied to arbitrary structures. We derive the equations that describe linear and nonlinear light propagation where special emphasis is put on second harmonic generation. This contribution basically aims at stretching versatile and existing concepts to describe light propagation in nonlinear media towards the realm of metamaterials.

7 pages, 3 figures

References in corpus (5)

• Nonlinear properties of left-handed metamaterials
• A classical theory for second-harmonic generation from metallic nanoparticles
• Tunable transmission and harmonic generation in nonlinear metamaterials
• Nonlinear Optical Spectroscopy of Photonic Metamaterials
• Negative Group Velocity from Quadrupole Resonance of Plasmonic Spheres

Cited by in corpus (8)

• Multipolar nonlinear nanophotonics
• Multipolar third-harmonic generation driven by optically-induced magnetic resonances
• All-optical Hall effect by the dynamic toroidal moment in a cavity-based metamaterial
• A simple and versatile analytical approach for planar metamaterials
• Basics of averaging of the Maxwell equations for bulk materials
• Magnetic dipole moments in single and coupled split-ring resonators
• Merging Nonlinear Optics and Negative-Index Metamaterials
• Toy model of harmonic and sum frequency generation in 2D nanostructures