南京大学学报(自然科学版) ›› 2013, Vol. 49 ›› Issue (3): 394–401.

• • 上一篇    

 含泡胶质体层的声透射特性研究*

 胡洁**,刘云飞

  

  • 出版日期:2015-11-05 发布日期:2015-11-05
  • 作者简介: (南京林业大学信息学院,南京,210037)
  • 基金资助:
     国家自然科学基金(31170668)

 Acoustic transmission through a single layer of bubbly gel

 Hu .l ie,Liu Yun fei   

  • Online:2015-11-05 Published:2015-11-05
  • About author: ( Department of Information Science and Technology,Nanjing Forest University,Nanjing,210037,China)

摘要:  对包含有限数目气泡的单层胶质体模型,在理论上研究了垂直入射的平面纵波的透射特性.
利用计及多重散射效应的自洽场方法,严格求解了该模型中的声传播问题并得到了声透射系数.数值计
算结果证明声波可在略高于气泡木征频率的频段内发生局域化,且局域化现象在气泡含量较小时己经
出现.此外,采用等效媒质方法对该模型进行均匀化近似后求解了其声透射系数.在不同结构参数下,分
析比较了两种方法所得结果的差异,考察了等效媒质方法的适用性.结果表明多重散射效应在气泡含量
较低时己显著影响当前模型的声透射特性,尽管等效媒质方法在气泡含量极低(~10-5)时可简便的得
到基本有效的计算结果,但当气泡含量变高(~10-4)时,忽略多重散射效应的等效媒质方法己不能正确
的描述此类媒质的声传播特性.

Abstract:  For a single slab fabricated by elastic gel which contains randomly-distributed air bubbles,the propagation of nor-
many-incident longitudinal plane wave is theoretically studied.The wave propagation is solved rigorously by using a self-consist-
ent method,with the multiple scattering effects fully incorporated.ln a range of frequency slightly above the bubble resonance
frequcncy,the acoustic locali}ztion in such a class of media is theoretically identified with even a very small volume fraction of
bubbles.The sensibility of the features of locali}ztion to the structure parameters is numerically investigated. Comparisons arc
performed between the results obtained by using the effective medium method and self-consistent method for different structure
parameters.The results show that the multiple scattering is very important for bubbly gel even when the volume concentration
of bubble is low. It is convenient to accurately describe the acoustic transmission in the present model by using effective medium
method when the concentration is extremely low(~10-5),but the effective medium method will fail to reveal some significant
phenomena resulting from the multiple scattering effects as the concentration approximates 10-4.

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