Abstract

We investigate the effective parameters and quasi-static resonances for periodic arrays of dielectric spheres. The effective medium model based on the homogenization of normal modes for spherical particles is used to determine the effective permittivity ϵeff and permeability μeff in the quasi-static regime. Major features of ϵeff and μeff are characterized by the Lorentz-type anomalous dispersion around the frequencies pertaining to the leading-order electric and magnetic resonances, respectively. In particular, the anomalous dispersion is depicted by a resonance function associated with the spherical cavity. The underlying mechanism of quasi-static resonance is illustrated with the localized and dipole-like field patterns at the resonant frequencies. A comparison with the effective parameters for periodic arrays of dielectric circular cylinders is also discussed.

© 2010 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Homogenization of metamaterials by field averaging (invited paper)

David R. Smith and John B. Pendry
J. Opt. Soc. Am. B 23(3) 391-403 (2006)

Complex modes and artificial magnetism in three-dimensional periodic arrays of titanium dioxide microspheres at millimeter waves

Salvatore Campione, Sylvain Lannebère, Ashod Aradian, Matteo Albani, and Filippo Capolino
J. Opt. Soc. Am. B 29(7) 1697-1706 (2012)

Artificial magnetism at terahertz frequencies from three-dimensional lattices of TiO2 microspheres accounting for spatial dispersion and magnetoelectric coupling

Sylvain Lannebère, Salvatore Campione, Ashod Aradian, Matteo Albani, and Filippo Capolino
J. Opt. Soc. Am. B 31(5) 1078-1086 (2014)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (47)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription