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中文摘要：
为了用三维线弹性动力学的反演方法重构弹性介质中散射体的形状，推导了散射场缺陷体积型积分的表达式．并在远场散射幅值的积分表达式中引入了Born近似，进而用散射幅值的三维逆Fourier变换重构缺陷的形状．给出了杆中球形空穴缺陷几何形状重构的数值结果．
英文摘要：
A three-dimensional linearized elastodynamic inversion method to reconstruct the shape of the scatterer has been investigated in this paper. The volume type of integral representation is formulated for the scattered field. Then Born approximation is introduced to the far-field expression of scattering amplitudes in the integral representation. The shape reconstruction of the scatterer is performed by the inverse Fourier transform of the approximated scattering amplitudes. A numerical example is given for the reconstruction of spherical cavity in the rod by the Born inversion.
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