Effect of local enlargement on the trapped modes of infinite or semi-infinite membrane strips

被引:7
|
作者
Wang, C. Y. [1 ]
机构
[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
关键词
Vibration; Membrane; Waveguide; Bound state; BOUND-STATES; WAVE-GUIDES;
D O I
10.1016/j.mechrescom.2014.01.004
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The vibration of infinite or semi-infinite membrane strip with a local enlargement is studied. An efficient domain decomposition and matching method is used to accurately solve the governing Helmholtz equation. Due to the enlargement, the fundamental frequency is decreased considerably and the corresponding vibration mode is effectively localized near the junction. The results are particularly significant to quantum waveguides. (C) 2014 Elsevier Ltd. All rights reserved.
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页码:6 / 9
页数:4
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