Naval Undersea Warfare Center, Torpedo Systems Department, 1176 Howell St., Newport, RI 02841, USA.
J Acoust Soc Am. 2011 Jun;129(6):3470-4. doi: 10.1121/1.3578460.
A method is presented for efficiently computing the propagating pressure field backscattered by an arbitrarily shaped, weakly scattering, three-dimensional object. This is accomplished by drawing upon a previously reported relationship between the boundary condition on a two-dimensional radiating aperture and the pressure propagating along an axis normal to the aperture, and the fundamental theorem of diffraction tomography, which relates the Fourier transform of an object function to its scattered pressure field. Together, these two results are used to derive an integral formula that expresses the pressure field backscattered from an object as a one-dimensional Fourier transform of its scattering amplitude. This formula is then utilized to compute the backscattered pressure field from a uniform fluid sphere in the first Born approximation; the results of which are compared to the rigorous partial wave expansion.
提出了一种高效计算任意形状、弱散射三维物体反向散射传播压力场的方法。该方法利用二维辐射孔径边界条件与垂直于孔径轴向传播压力之间的已有报告关系，以及绕射层析术基本定理（它将物体函数的傅里叶变换与其散射压力场相关联），导出一个积分公式，将物体反向散射压力场表示为其散射幅度的一维傅里叶变换。然后，使用该公式计算了在第一 Born 近似下均匀流体球体的反向散射压力场；并将结果与严格的部分波展开进行了比较。
