Eur. Phys. J. Appl. Phys. 39, 95-100 (2007)
https://doi.org/10.1051/epjap:2007088

Study of finite periodic structures using the generalized Mie theory

¹ Laboratoire de Physique des Interactions Ondes-Matière (PIOM), UMR CNRS 5501, 16 avenue Pey-Berland, 33607 Pessac, France
² Institut de recherche XLIM, UMR CNRS 6172, 123 avenue Albert Thomas, 87060 Limoges, France

Corresponding author: oyhenart@enscpb.fr

Received: 18 January 2007
Accepted: 27 March 2007
Published online: 13 June 2007

Abstract

The generalized Mie theory, also known as the multiple-scattering theory, is an analytical method for solving the scattered field by a collection of spherical scatterers. This is the fastest, most reliable method when the wavelength is close to the structure's dimensions. It is applicable to frequency selective surfaces and is the only method for analyzing finite photonic crystals with a large size. We used simplified structures to compare this method with other techniques.