A bound on the group velocity for bloch wave packets

Grégoire Allaire; Mariapia Palombaro; Jeffrey Rauch

doi:10.4171/PM/1960

A bound on the group velocity for bloch wave packets

Grégoire Allaire
, Mariapia Palombaro
, Jeffrey Rauch

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We give a direct proof that the group velocities of Bloch wave packet solutions of periodic second order wave equations cannot exceed the maximal speed of propagation of the periodic wave equation.

langue originale	Anglais
Pages (de - à)	119-123
Nombre de pages	5
journal	Portugaliae Mathematica
Volume	72
Numéro de publication	2-3
Les DOIs	https://doi.org/10.4171/PM/1960
état	Publié - 1 janv. 2015

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10.4171/PM/1960

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title = "A bound on the group velocity for bloch wave packets",

abstract = "We give a direct proof that the group velocities of Bloch wave packet solutions of periodic second order wave equations cannot exceed the maximal speed of propagation of the periodic wave equation.",

keywords = "Bloch waves, Diffraction, Diffractive geometric optics, Geometric optics, Homogenization",

author = "Gr{\'e}goire Allaire and Mariapia Palombaro and Jeffrey Rauch",

note = "Publisher Copyright: {\textcopyright} European Mathematical Society.",

year = "2015",

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doi = "10.4171/PM/1960",

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T1 - A bound on the group velocity for bloch wave packets

AU - Allaire, Grégoire

AU - Palombaro, Mariapia

AU - Rauch, Jeffrey

N1 - Publisher Copyright: © European Mathematical Society.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - We give a direct proof that the group velocities of Bloch wave packet solutions of periodic second order wave equations cannot exceed the maximal speed of propagation of the periodic wave equation.

AB - We give a direct proof that the group velocities of Bloch wave packet solutions of periodic second order wave equations cannot exceed the maximal speed of propagation of the periodic wave equation.

KW - Bloch waves

KW - Diffraction

KW - Diffractive geometric optics

KW - Geometric optics

KW - Homogenization

UR - https://www.scopus.com/pages/publications/84941569415

U2 - 10.4171/PM/1960

DO - 10.4171/PM/1960

M3 - Article

AN - SCOPUS:84941569415

SN - 0032-5155

VL - 72

SP - 119

EP - 123

JO - Portugaliae Mathematica

JF - Portugaliae Mathematica

IS - 2-3

ER -

A bound on the group velocity for bloch wave packets

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