IJPAM: Volume 42, No. 4 (2008)

GREEN'S FUNCTION METHODS IN
PHOTONIC CRYSTALS AND CLUSTERS

A. D'Andrea$^1$, L. Pilozzi$^2$, D. Schiumarini$^3$, N. Tomassini$^4$
$^{1,2,3,4}$Institute of Complex Systems
CNR, C.P. 10, Area della Ricerca di Roma
Moterotondo Staz., Rome, I-00061, ITALY
$^1$e-mail: andrea.dandrea@isc.cnr.it


Abstract.In the semiclassical framework, resonant photonic crystals and clusters computation requests to solve self-consistently the Schroedinger-Maxwell coupled equations in order to study linear and non-linear optical properties of mesoscopic materials. In a non-local spatially periodic medium the electromagnetic propagation properties will be computed by transforming integral-differential Maxwell equations in integral equations, therefore, the Green's function formalism usually take a crucial role in the optical computation.

Received: August 17, 2007

AMS Subject Classification: 34B27, 26B20

Key Words and Phrases: Green's function, Schroedinger-Maxwell coupled equations, integral-differential Maxwell equations

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 4