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Proceedings Paper

Homogenized dynamic constitutive relation for Bloch-wave propagation in periodic composites: structure and symmetries
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Paper Abstract

Central to the idea of metamaterials is the concept of dynamic homogenization which seeks to define frequency dependent effective properties for Bloch wave propagation. While the theory of static effective property calculations goes back about 60 years, progress in the actual calculation of dynamic effective properties for periodic composites has been made only very recently. Here we discuss the explicit form of the effective dynamic constitutive equations. We elaborate upon the existence and emergence of coupling in the dynamic constitutive relation and further symmetries of the effective tensors.

Paper Details

Date Published: 21 February 2012
PDF: 9 pages
Proc. SPIE 8269, Photonic and Phononic Properties of Engineered Nanostructures II, 82690Y (21 February 2012); doi: 10.1117/12.916572
Show Author Affiliations
Sia Nemat-Nasser, Univ. of California, San Diego (United States)
Ankit Srivastava, Univ. of California, San Diego (United States)

Published in SPIE Proceedings Vol. 8269:
Photonic and Phononic Properties of Engineered Nanostructures II
Ali Adibi; Shawn-Yu Lin; Axel Scherer, Editor(s)

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