By Topic

Limit‐Periodic Dielectric Media

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $31
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
Redheffer, Raymond ; University of California, Low Angeles 24, California

Your organization might have access to this article on the publisher's site. To check, click on this link: 

A stratified dielectric sheet with dielectric constant Є(x), permeability μ(x) and thickness d is uniformly contracted to yield a sheet with parameters Є(nx), μ(nx), d/n. Now n of these contracted panels are stacked up to yield again a sheet of thickness d. What can be said of the limiting medium obtained in this way, as n→∞ ? If the symbol [] denotes ``mean value of,'' the results of this paper may be summarized as follows: At perpendicular polarization, the limiting medium acts like a homogeneous medium with dielectric constant, permeability and thickness given respectively by [Є][μ]-12[1/μ]-12, [μ]12[1/μ]-12, d[μ]12[1/μ]12. At parallel polarization the parameters are, respectively, [Є]12[1/Є]-12, [μ][Є]-12[1/Є]-12, d[Є]12[1/Є]12. The relevance of these results to topics of current interest is indicated. The analysis is not based on the equivalent-circuit analogues which are sometimes used to study artificial dielectrics, but is developed without approximati on from Maxwell's equations.

Published in:

Journal of Applied Physics  (Volume:27 ,  Issue: 10 )