111
Views
36
CrossRef citations to date
0
Altmetric
Articles

The Tem Mode and Homogenization of Doubly Periodic Structures

, &
Pages 981-1012 | Published online: 03 Apr 2012
 

Abstract

We consider the problem of the electromagnetic modes which exist in a doubly periodic structure consisting of a square or hexagonal array of cylinders, and focus on a special type of mode called the TEM mode. We discuss the link between the TEM mode, the off-axis mode which tends towards it for small wave numbers and near-normal incidence, and the effective refractive index of the array. For arrays of finitely conducting cylinders we show that the quasistatic limits of TE and TM modes are different. When the structure contains perfectly conducting cylinders, we show that there is no such limit for TM modes, as the corresponding photonic band diagram does not contain an acoustic band. Our results highlight the restrictions regarding the validity of homogenization procedures for doubly periodic composites.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.