Scattering Control for the Wave Equation with Unknown Wave Speed

Scattering Control for the Wave Equation with Unknown Wave Speed
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波速未知的波动方程的散射控制

DOI:
10.1007/s00205-018-1283-8
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发表时间:
2017
影响因子:
2.5
通讯作者:
G. Uhlmann
G. Uhlmann
中科院分区:
数学1区
文献类型:
--
作者:
Peter Caday;M. Hoop;Vitaly Katsnelson;G. Uhlmann

文献摘要

被引文献

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考虑具有未知波速c的声波方程,不一定是光滑的。我们提出并研究了一种迭代控制方法,该方法可以在不知道c的情况下,消除介质中给定深度的波场历史。在地震或超声成像的上下文中,这可以被视为从法线指向的波前中去除多次反射。
Consider the acoustic wave equation with unknown wave speed c, not necessarily smooth. We propose and study an iterative control procedure that erases the history of a wave field up to a given depth in a medium, without any knowledge of c. In the context of seismic or ultrasound imaging, this can be viewed as removing multiple reflections from normal-directed wavefronts.