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An approach to investigate the multiple-scattering problems based on the singularity expansion method

机译：一种基于奇异展开法的多重散射问题研究方法

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摘要

An approach to perform the multiple-scattering calculations of the two-cylinder acoustic scattering problem is studied here. The coupling factors and the analytical solutions of the poles are extracted by using the singularity expansion method (SEM). Through interpreting the coupling characteristic of the external oscillations, the poles are also obtained which are consistent with the exact results. It is noted that the coupling characteristic of the scattering field is the corresponding coupling between the oscillation modes of the same order, as well as the SEM poles. Based on this, we then infer that by interpreting the physical meaning of the coupling coefficients and explaining the influence of the coupling characteristic on the SEM poles, the pole distributions and the external oscillation characteristics of multiple scatterers can be studied in acoustic scattering problems. The study is based on general models, and then takes a two-same-cylinder model as an example for comparative analysis. In addition, the relationship between the real parts of the SEM poles and the separated distance is also analyzed briefly. The new approach and the related calculation results provide an effective way to perform shape recognition in the acoustic scattering field. Published by AIP Publishing.%135107.1-135107.8
机译：本文研究了一种对两圆柱声散射问题进行多次散射计算的方法。利用奇异展开法（SEM）提取了磁极的耦合因子和解析解。通过解释外部振荡的耦合特性，也可以获得与精确结果一致的极点。要注意的是，散射场的耦合特性是相同阶数的振荡模式以及SEM极之间的相应耦合。基于此，我们然后推断出，通过解释耦合系数的物理含义并解释耦合特性对SEM极的影响，可以研究声散射问题中多个散射体的极分布和外部振荡特性。该研究基于通用模型，然后以两缸相同模型为例进行比较分析。此外，还简要分析了SEM极的实部与分离距离之间的关系。新方法和相关的计算结果为在声散射领域进行形状识别提供了有效的途径。由AIP Publishing发布。％135107.1-135107.8

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  • 来源
    《Journal of Applied Physics》 |2018年第13期|157-164|共8页
  • 作者

    Cao Pei; Wu Jiu Hui; Chen Xu; Huang Zhen;

  • 作者单位

    Xi An Jiao Tong Univ, Sch Mech Engn, Xian 710049, Shaanxi, Peoples R China;

    Xi An Jiao Tong Univ, Sch Mech Engn, Xian 710049, Shaanxi, Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
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  • 正文语种 eng
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