Underwater acoustic scattering of multiple elastic obstacles using T-matrix method

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.