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

Mathematics Department
University of Sussex
Department of Mathematics
University of Michigan, Ann Arbor

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Pages (from-to)	119-123
Number of pages	5
Journal	Portugaliae Mathematica
Volume	72
Issue number	2-3
DOIs	https://doi.org/10.4171/PM/1960
Publication status	Published - 1 Jan 2015

Keywords

Bloch waves
Diffraction
Diffractive geometric optics
Geometric optics
Homogenization

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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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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

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

Abstract

Keywords

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