Title :

Periodic Structures, Irreducible Brillouin Zone, Dispersion Relations and the Plane Wave Expansion Method

Author(s) :

Vasseur, Jérôme [Auteur correspondant]
Acoustique - IEMN [ACOUSTIQUE - IEMN]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]

Book title :

Acoustic Waves in Periodic Structures, Metamaterials, and Porous Media

Publisher :

Springer International Publishing

Publication place :

Cham

Publication date :

2021-11-04

HAL domain(s) :

Sciences de l'ingénieur [physics]
Sciences de l'ingénieur [physics]/Acoustique [physics.class-ph]

English abstract : [en]

The Plane Wave Expansion (PWE) method allows the calculation of dispersion curves, i.e., the relation linking the frequency to the wave number for any propagating mode of periodic structures made of elastic materials such ...
Show more >The Plane Wave Expansion (PWE) method allows the calculation of dispersion curves, i.e., the relation linking the frequency to the wave number for any propagating mode of periodic structures made of elastic materials such as phononic crystals. The method is relatively easy to implement numerically but presents some limitations. After recalling some fundamental aspects of crystallography that are necessary to the study of periodic structures, the PWE method described in detail for the case of bulk phononic crystals, i.e., structures of infinite extent, and its advantages and drawbacks are discussed. It is also shown that the method can be used for calculating the band structure of phononic crystals of finite thickness and for analysing the evanescent waves within the phononic band gaps.Show less >

Language :

Anglais

Audience :

Internationale

Popular science :

Non

Collections :

• Institut d'Électronique, de Microélectronique et de Nanotechnologie (IEMN) - UMR 8520

Source :

Harvested from HAL