2009/08/31 by Joerg Petschulat, J. Petschulat, Christoph Menzel +8
Engineering · Materials Science · Physics and Astronomy · #Advanced Antenna and Metasurface Technologies #Computer science #Focus (optics) #Formalism (music) #Metamaterial #Metamaterials and Metasurfaces Applications #Multipole expansion #Nonlinear optics #Nonlinear system #Optics #Physics #Plasmonic and Surface Plasmon Research #Quantum mechanics #Resonator #Split-ring resonator #Theoretical physics #physics.optics
paper · pdf · doi:10.1103/physreva.80.063828
7 pages, 3 figures
arxiv created 2009/09/02 · openalex publication_date 2009/12/10 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 is based 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 toward the realm of metamaterials.