Solution of the acoustic transmission problem by a perturbed Born series
Solution of the acoustic transmission problem by a perturbed Born series
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DOI：
10.1121/1.392056
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发表时间：
1985-03
影响因子：
2.4
通讯作者：
G. Schuster
中科院分区：
文献类型：
--
作者：
G. Schuster
在本文中，我们提出了一种交互式建模方案，该方案基于摄动关于已知格林函数的参考模型的表面边界积分方程组。该格林函数由边界积分方程组(BIE)方法计算。新的摄动方程可以用Born级数有效地求解，为方便起见，称为摄动Born级数(PBS)。PBS与常见的Lippmann-Schwinger积分的级数解的不同之处在于，它求解的是边界积分，与Lippmann-Schwinger昂贵的体积积分相比，边界积分的计算代价更低。对于参考模型的足够小的扰动，对于任何给定源频率、散射体大小或界面上的阻抗对比度，PBS将快速收敛。因此，PBS可用于有效地计算对关于参考模型的迭代扰动的一系列模型的动态和静态响应。它的缺点是..。
In this paper, we present an interactive modeling scheme, which is based upon perturbing the surface boundary integral equations about a reference model in which the Green’s function is known. This Green’s function is computed by a boundary integral equation (BIE) method. The new perturbed equation can be efficiently solved by a Born series and for convenience is designated as the perturbed Born series (PBS). The PBS differs from the series solution to the familiar Lippmann–Schwinger integrals in that it solves a boundary integral which is computationally inexpensive compared to the prohibitively expensive volume integral of Lippmann–Schwinger. For small enough perturbations about the reference model, the PBS will converge quickly for any given source frequency, scatterer size, or contrast in impedance across an interface. The PBS can therefore be used to efficiently compute the dynamic, as well as static, responses to a series of models iteratively perturbed about a reference model. The disadvantage of t...