A bound on the group velocity for Bloch wave packets

被引：1
|
作者：
Allaire, Gregoire [1 ,2 ]
Palombaro, Mariapia [3 ]
Rauch, Jeffrey [4 ]
机构：
[1] Ecole Polytech, Ctr Math Appl, F-91128 Palaiseau, France
[2] INRIA Saclay Ile de France, DEFT Project, Paris, France
[3] Univ Sussex, Dept Math, Brighton BN1 9QH, E Sussex, England
[4] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
来源：
PORTUGALIAE MATHEMATICA | 2015年 / 72卷 / 2-3期
关键词：
Geometric optics; diffractive geometric optics; Bloch waves; diffraction; homogenization;
D O I：
10.4171/PM/1960
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：119 / 123
页数：5
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