OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 23, Iss. 16 — Aug. 15, 1984
  • pp: 2718–2728

Frequency dependent dielectric constant and conductivity for a medium containing impurities

Donald G. Burkhard  »View Author Affiliations


Applied Optics, Vol. 23, Issue 16, pp. 2718-2728 (1984)
http://dx.doi.org/10.1364/AO.23.002718


View Full Text Article

Enhanced HTML    Acrobat PDF (1556 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A formula is derived for the effective complex dielectric constant of a dielectric medium containing a cubical array of dielectric or metallic impurities. The formula is given to two levels of approximation; one based on the Clausius-Mosotti equation which assumes zero contribution to the polarization from dipoles within the Lorentz sphere. The second is a generalization of a more accurate calculation of Rayleigh. Specific expressions are given for the real dielectric constant and the effective conductivity (and loss tangent) both as a function of frequency and impurity content. Formulas are valid for wavelengths large compared with the dimensions of the impurities. Results are compared with experimental values of Kharadly and Jackson. The complex dielectric constant is also obtained from the more accurate dc formula for a uniform array of spheres embedded in a uniform dielectric as derived by Zuzovsky and Brenner and again from the dc formula of a random array as derived by Felderhof.

© 1984 Optical Society of America

History
Original Manuscript: March 23, 1984
Published: August 15, 1984

Citation
Donald G. Burkhard, "Frequency dependent dielectric constant and conductivity for a medium containing impurities," Appl. Opt. 23, 2718-2728 (1984)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-23-16-2718

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited