title: Disorder effect in the transmission spectra of a noncompact single layer of dielectric spheres derived from microwave spectroscopy.
abstract: Single layers of dielectric spheres are an interesting system to study from the fundamental and applied points of view. In this paper we present a systematic study of the influence of structural disorder on the transmission spectra of arrangements of spheres of different compactness. Glass sphere (ε=7) planes were built and their transmission spectra in the microwave range measured. Transmission behavior of this system is highly tolerant to disorder. Even in completely disordered arrangements, there is a highly rejected band with the dips of the spectrum observable. These results suggest that the collective modes of the sphere planes are formed by weakly coupled Mie modes of the individual spheres, and this coupling is governed by the average distance among the spheres. Disorder tolerance allows simpler fabrication procedures where the position of the spheres does not need to be precisely controlled.
authors.affiliation: Department of Electrical and Electronic Engineering, Universidad Pública de Navarra, Campus de Arrosadía, 31006, Pamplona, Spain. angel.andueza@unavarra.es
authors.forename: Angel
authors.initials: A
authors.lastname: Andueza
authors.forename: Tom
authors.initials: T
authors.lastname: Smet
authors.forename: Paola
authors.initials: P
authors.lastname: Morales
authors.forename: Joaquín
authors.initials: J
authors.lastname: Sevilla