Optical properties of plasmonic nanostructures and metamaterials are often accessed by evaluating their interaction with light by means of rigorous numerical methods. Such analysis allows the reliable prediction of any measurable quantity, whereas insights into the physical mechanisms that govern the observable effects require an intense interpretation of these quantities. Therefore, analytical methods are required that simplify the description of plasmonic entities to a certain extent but yet allow the disclosure of their physical peculiarities. We outline in this chapter the basics of such an analytical model which we coined the multipole approach to metamaterials. In this parametric model the elementary constituents that form plasmonic nanostructures are conceptually replaced by coupled dipoles. By describing the evolution of these dipoles in terms of differential equations, we disclose the dynamics of complex nanostructures. Furthermore, by introducing averaged quantities derived from the dipole dynamics, such as an electric and magnetic dipole and an electric quadrupole density, the light propagation in a medium comprising a dense array of these nanostructures is fully accessible. This contribution is written with the intention to familiarize readers with this framework and to allow its application to many related problem that may emerge in the field of plasmonics and metamaterials.
|Title of host publication||Plasmonics and Plasmonic Metamaterials|
|Subtitle of host publication||Analysis And Applications|
|Publisher||World Scientific Publishing Co.|
|Number of pages||33|
|Publication status||Published - 1 Jan 2011|