Transient nearfield acoustic holography based on an interpolated time-domain equivalent source method.
Transient nearfield acoustic holography based on an interpolated time-domain equivalent source method.
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DOI：
10.1121/1.3621005
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发表时间：
2011-09
期刊：
影响因子：
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通讯作者：
Xiao-Zheng Zhang;C. Bi;Yong-Bin Zhang;Liang Xu
中科院分区：
文献类型：
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作者：
Xiao-Zheng Zhang;C. Bi;Yong-Bin Zhang;Liang Xu
提出了一种基于插值时域等效源法（ESM）的瞬态近场声全息技术，可直接在时域内重建瞬态声场。由于传统时域ESM公式求解的等效源强度不能直接用于源表面的压力重建，因此引入插值函数，建立了插值的时域ESM公式，从而推导出迭代重建过程。由于重建过程是病态的，特别是存在误差的累积效应，采用Tikhonov正则化来稳定重建过程。分别从折板平面活塞、脉冲加速球和立方体盒子中重建瞬态声场的数值算例表明，该方法不仅可以有效地在时域重建瞬态声场，而且可以在空间域实现声场的可视化。在第一个数值算例中，描述了误差的累积效应和使用Tikhonov正则化抑制误差的有效性。
Transient nearfield acoustic holography based on an interpolated time-domain equivalent source method (ESM) is proposed to reconstruct transient acoustic fields directly in the time domain. Since the equivalent source strengths solved by the traditional time-domain ESM formulation cannot be used to reconstruct the pressure on the source surface directly, an interpolation function is introduced to develop an interpolated time-domain ESM formulation which permits one to deduce an iterative reconstruction process. As the reconstruction process is ill-conditioned and especially there exists a cumulative effect of errors, the Tikhonov regularization is used to stabilize the process. Numerical examples of reconstructing transient acoustic fields from a baffled planar piston, an impulsively accelerating sphere and a cube box, respectively, demonstrate that the proposed method not only can effectively reconstruct transient acoustic fields in the time domain, but also can visualize acoustic fields in the space domain. And, in the first numerical example, the cumulative effect of errors and the validity of using the Tikhonov regularization to suppress the errors are described.