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

Sia Nemat-Nasser; Ankit Srivastava

doi:10.1117/12.916572

21 February 2012 Homogenized dynamic constitutive relation for Bloch-wave propagation in periodic composites: structure and symmetries

Sia Nemat-Nasser, Ankit Srivastava

Author Affiliations +

Proceedings Volume 8269, Photonic and Phononic Properties of Engineered Nanostructures II; 82690Y (2012) https://doi.org/10.1117/12.916572
Event: SPIE OPTO, 2012, San Francisco, California, United States

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.

Citation Download Citation

Sia Nemat-Nasser and Ankit Srivastava "Homogenized dynamic constitutive relation for Bloch-wave propagation in periodic composites: structure and symmetries", Proc. SPIE 8269, Photonic and Phononic Properties of Engineered Nanostructures II, 82690Y (21 February 2012); https://doi.org/10.1117/12.916572

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