Abstract

We calculate the effective electric permittivity of photonic crystals of spherical particles with substitutional disorder. The effective permittivity is obtained by using a coherent-potential approximation scheme for photonic crystals in the context of multiple-scattering theory. The method is applied to the case of dielectric spheres in air as well as to inverted structures, i.e., air spheres in a dielectric medium. The results are compared against the standard Maxwell–Garnett effective-medium theory and its variations.

© 2006 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Photonic bands: simple-cubic lattice

H. Sami Sözüer and Joseph W. Haus
J. Opt. Soc. Am. B 10(2) 296-302 (1993)

Disordered photonic crystals: a cluster coherent potential approach using photonic Wannier functions

Martin Köhl, Christian Wolff, and Kurt Busch
J. Opt. Soc. Am. B 31(10) 2246-2257 (2014)

Linear and nonlinear optical studies in photonic crystal alloys

Hanifi Tiryaki, Koichi Baba, Przemyslaw P. Markowicz, and Paras N. Prasad
Opt. Lett. 29(19) 2276-2278 (2004)

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 (9)

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