Photonic band effect in single-layers of high refractive index spheres of different compactness

Abstract

Transmission spectra from single-layers of high dielectric permittivity (ɛ = 7) glass spheres have been measured, in microwave region, for different angular incidences. The same systems have been calculated by Finite-Difference Time-Domain (FDTD) method. The dispersion diagrams of photonic bands in triangular geometries have been obtained for a number of different compactness cases. The experimental and the calculated photonic band structures show a good agreement in all the compactness values studied. They were also compared with the Mie resonances of the isolated spheres. The results indicate that the characteristics of the Mie resonances appear dominant in the photonic band structure as the compactness of the lattice decreases. Dispersion diagrams present several low dispersion photonic bands, independent of incidence-angle, with high Q-values, that could be useful for future applications of the considered structures like filters or solar cells.

Research on the Effect of Extinction Characteristics of Coal Dust on Visibility

“… 19 − 21 Andueza et al proposed a numerical method to investigate light scattering by particles based on the Maxwell equations. 22 Ma et al indicated that the scattering of particles has remarkable connections with the particle complex refractive index. 23 Di Biagio et al.…”

“…Over the past several decades, numerous studies related to the absorption and scattering of particles have been widely conducted. − Andueza et al proposed a numerical method to investigate light scattering by particles based on the Maxwell equations . Ma et al indicated that the scattering of particles has remarkable connections with the particle complex refractive index .…”

Electric-Field Distributions of Dielectric Single Layers of Spheres With Different Compactness

“…The lattice geometry used was triangular, with a parameter notation: Φ for the sphere diameter and Λ to refer to the lattice constant, the separation between two consecutive centers in the unit cell. The dielectric constant of the spheres was selected to be ε = 7, similar to Soda Lime glass used in [22][23][24][25][26]. To indicate the compactness of a particular arrangement, filling factor parameter was used and denoted by f f .…”