Coherent Interferometry in Finely Layered Random Media

Coherent Interferometry in Finely Layered Random Media
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DOI:
10.1137/050633524
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发表时间:
2006-07
期刊:
Multiscale Model. Simul.
影响因子:
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通讯作者:
L. Borcea;G. Papanicolaou;C. Tsogka
L. Borcea;G. Papanicolaou;C. Tsogka
中科院分区:
其他
文献类型:
--
作者:
L. Borcea;G. Papanicolaou;C. Tsogka

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本文研究了宽带相干干涉阵列成像(CINT)在精细分层介质中的强起伏制度。相干干涉成像是指阵列数据的时间窗互相关的反向传播。对于长距离传播的波,在阵列处观察到的迹线具有统计稳定性。它们具有相干信号的形式,可以由O'Doherty Anstey(ODA)理论描述,随后是长而嘈杂的尾波。我们表明,相干干涉利用数据中的时间相干性,从而获得稳定的图像。此外,我们证明,在这个制度中,只有ODA的行为在成像中发挥了作用,我们明确量化CINT的分辨率在这个时间相干性和阵列孔径。我们用数值模拟来说明这个理论。
We study broadband, coherent interferometric array imaging (CINT) in finely lay- ered media in a regime with strong fluctuations. By coherent interferometric imaging we mean the backpropagation of time-windowed cross correlations of the array data. For waves propagating over long distances, there is statistical stabilization of the traces observed at the array. They have the form of a coherent signal that can be described by the O'Doherty-Anstey (ODA) theory, followed by long and noisy codas. We show that coherent interferometry exploits the time coherence in the data, leading to stable images. Moreover, we prove that in this regime only the ODA behavior plays a role in the imaging, and we quantify explicitly the resolution of CINT in terms of this time coherence and the array aperture. We illustrate the theory with numerical simulations.