Retarded reflection of dispersive wave packets in a star-shaped network.

被引：1

作者：

Mehmeti, FA ^{[1
]}

Régnier, V ^{[1
]}

机构：

[1] Univ Valenciennes & Hainaut Cambresis, Inst Sci & Tech Valenciennes, Lab Math Appl & Calcul Sci, F-59313 Valenciennes 9, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2003年 / 337卷 / 10期

关键词：

D O I：

10.1016/j.crma.2003.09.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Retarded reflection of dispersive wave packets in a star-shaped network. We study Klein-Gordon equations on two half-axes with different dispersion relations. The reflection coefficient at the connecting point depends on the frequency. We obtain lower and upper bounds of the reflected part of the energy flow when the frequency band involved in the initial signal is sufficiently narrow. The reflection is delayed for low frequency wave packets and our expression of the delay is in accordance with the recent experiments of Haibel and Nimtz (Ann. Physik (Leipzig) 10 (2001) 707-712). The results are generalized to the case of a star-shaped network with n branches (n > 2). (C) 2003 Academie des sciences. Publie par Editions scientifiques et medicales Elsevier SAS. Tous droits reserves.

引用

页码：645 / 648

页数：4

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