Title :
Multipole metamaterials
Author :
Petschulat, J. ; Chipouline, A. ; Menzel, C. ; Rockstuhl, C. ; Tuennermann, A. ; Lederer, F. ; Pertsch, T.
Author_Institution :
Inst. of Appl. Phys., Friedrich-Schiller-Univ. Jena, Jena, Germany
Abstract :
This article investigates the multipole expansion approach in order to describe analytically linear and nonlinear optical properties of metamaterials. It is shown that especially the consideration of electric quadrupole multipoles (not only the magnetic dipole one) is required by basic principles and provides the possibility to adequately analyse an effective magnetic material response. To motivate the appearance of such multipole terms, numerical methods to calculate the near field radiation patterns as well as far field properties are used. The dispersion relation of a single metamaterial layer and 3D infinitely expanded bulk metamaterials are derived as well. In order to validate the model for particular cases, the formalism for the split-ring resonator and the cut-wire structure is applied. In principle, the formalism is not restricted by any special metaatom geometry. Only the intrinsic electron dynamics in the respective metaatom must be known.
Keywords :
dispersion relations; metamaterials; nonlinear optics; optical resonators; 3D infinitely expanded bulk metamaterials; cut-wire structure; dispersion relation; electric quadrupole multipoles; electron dynamics; linear optical properties; metaatom; multipole metamaterials; near field radiation patterns; nonlinear optical properties; single metamaterial layer; split-ring resonator; Dispersion; Finite difference methods; Magnetic analysis; Magnetic materials; Magnetic resonance; Metamaterials; Nonlinear optics; Optical resonators; Reflection; Time domain analysis;
Conference_Titel :
Lasers and Electro-Optics 2009 and the European Quantum Electronics Conference. CLEO Europe - EQEC 2009. European Conference on
Conference_Location :
Munich
Print_ISBN :
978-1-4244-4079-5
Electronic_ISBN :
978-1-4244-4080-1
DOI :
10.1109/CLEOE-EQEC.2009.5192147