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Multipole nonlinearity of metamaterials

: Petschulat, J.; Chipouline, A.; Tünnermann, A.; Pertsch, T.; Menzel, C.; Rockstuhl, C.; Lederer, F.


Physical Review. A 80 (2009), No.6, Art. 063828, 7 pp.
ISSN: 0556-2791
ISSN: 1050-2947
ISSN: 1094-1622
Journal Article
Fraunhofer IOF ()

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.