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Guided Waves in a Multi-Layered Cylindrical Elastic Solid Medium
引用本文:张碧星 崔寒茵 肖柏勋 章程广. Guided Waves in a Multi-Layered Cylindrical Elastic Solid Medium[J]. 中国物理快报, 2007, 24(10): 2883-2886
作者姓名:张碧星 崔寒茵 肖柏勋 章程广
作者单位:[1]School of Geophysics and Oil Resources, Yangtze University, Jingzhou 434023 [2]Institute of Acoustics, Chinese Academy of Sciences, Beijing 100080
基金项目:Supported by the National Natural Science Foundation of China under Grant No 10374098.
摘    要:

关 键 词:波导波 弹性固体介质 色散 光学
收稿时间:2007-02-08
修稿时间:2007-02-08

Guided Waves in a Multi-Layered Cylindrical Elastic Solid Medium
ZHANG Bi-Xing,CUI Han-Yin,XIAO Bo-Xun,ZHANG Cheng-Guang. Guided Waves in a Multi-Layered Cylindrical Elastic Solid Medium[J]. Chinese Physics Letters, 2007, 24(10): 2883-2886
Authors:ZHANG Bi-Xing  CUI Han-Yin  XIAO Bo-Xun  ZHANG Cheng-Guang
Affiliation:1. School of Geophysics and Oil Resources, Yangtze University, Jingzhou 434023; 2.Institute of Acoustics, Chinese Academy of Sciences, Beijing 100080
Abstract:We investigate the guided waves in a multi-layered cylindrical elastic solid medium. The dispersion function of guided waves is usually complex and the dispersion curves of all modes are not conveniently obtained. Here we present an effective method to obtain the dispersion curves of all modes. First, the dispersion function of the guided waves is transformed into a real function. The dispersion curves are then calculated for all the modes of the guided waves by the bisection method. The modes with the orders n = 0, 1, and 2 are analysed in two- and three-layer media. The existence condition of Stoneley wave is discussed. The modes of the guided waves are also investigated in a two-layer medium, in which the velocity of shear wave in the outer layer is less than that in the inner layer.
Keywords:43.20.+g  43.35.+d
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