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.
引用
收藏
页码：119 / 123
页数：5
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