In this paper, the T-matrix method is applied to investigate the monostatic and bistatic far-field acoustic scattering patterns of underwater elastic multi-obstacles, which is a semi-analytical method and its results can be used to verify the accuracy of various numerical methods. The T-matrix formula for underwater multi-obstacle acoustic scattering is obtained by utilizing the addition theorem of the spherical harmonic function. Furthermore, an iterative algorithm is introduced to quickly solve the separation matrix in the addition theorem. The investigation into the far-field acoustic scattering characteristics of a pair of solid elastic spheres covers a full range of scattering angles, revealing that the resonance structure presented in the scattering spectra is attributed to the Rayleigh wave, specular reflections and Franz waves. Finally, experimental validation demonstrates good agreement between the numerical simulation results and experimental results.

中文翻译：

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基于 T 矩阵法的多个弹性障碍物的水声散射


本文采用T矩阵方法研究了水下弹性多障碍物的单基地和双基地远场声散射模式，这是一种半解析方法，其结果可用于验证各种数值方法的准确性。利用球谐函数的加法定理得到水下多障碍物声散射的 T 矩阵公式。此外，该文还引入了一种迭代算法来快速求解加法定理中的分离矩阵。对一对固体弹性球体的远场声散射特性的研究涵盖了全范围的散射角，揭示了散射光谱中呈现的共振结构归因于瑞利波、镜面反射和弗朗茨波。最后，实验验证表明数值模拟结果与实验结果具有良好的一致性。