An algorithm for the fast computation of multistatic scattering patterns, produced by low-contrast inhomogeneous volumetric objects, which satisfy the Born approximation assumption, is presented. The algorithm relies on hierarchical interpolation and aggregation of optimally sampled phase-compensated partial contributions to the scattered field integral. The Born approximation enables the efficient simultaneous computation for ranges of incident and observation angles, as well as excitation frequencies. This leads to a reduction in the asymptotic computational complexity by several polynomial orders of the problem's acoustical size. The algorithm's error controllability and favorable computation time are demonstrated via representative examples.

中文翻译：

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玻恩近似多静态散射的快速计算。

提出了一种快速计算由低对比度非均匀体积物体产生的多基地散射模式的算法，该算法满足 Born 近似假设。该算法依赖于对散射场积分的最佳采样相位补偿部分贡献的分层插值和聚合。Born 近似可以有效地同时计算入射角和观察角的范围，以及激发频率。这导致渐近计算复杂度降低了问题声学大小的几个多项式阶数。通过具有代表性的例子证明了该算法的误差可控性和有利的计算时间。