Reduced order model approach for imaging with waves

Reduced order model approach for imaging with waves
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波成像的降阶模型方法

DOI:
10.1088/1361-6420/ac41d0
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发表时间:
2021
期刊:
影响因子:
2.1
通讯作者:
J. Zimmerling
J. Zimmerling
中科院分区:
数学2区
文献类型:
--
作者:
L. Borcea;J. Garnier;A. Mamonov;J. Zimmerling

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我们介绍了一种新的,计算成本低廉的方法与传感器,探测未知介质的脉冲和测量产生的波的有源阵列成像。成像功能基于非衰减介质中的时间反转原理,并使用源自成像点附近并通过未知介质传播到传感器的“内波”的数据驱动估计。我们解释了如何使用波传播的降阶模型(ROM)来获得这种估计。我们分析的成像功能,将其连接到时间反转过程,并描述其分辨率如何取决于阵列的孔径,探测脉冲的带宽和波传播通过的介质。我们还展示了如何内部波可以用于选择性聚焦波在点的成像区域。这可以通过实验来实现,并且可以用于像素扫描成像。我们评估的性能的成像方法与数值模拟,并将它们与传统的逆时偏移方法和“反投影”的方法,最近推出的应用程序相同的ROM。
We introduce a novel, computationally inexpensive approach for imaging with an active array of sensors, which probe an unknown medium with a pulse and measure the resulting waves. The imaging function is based on the principle of time reversal in non-attenuating media and uses a data driven estimate of the ‘internal wave’ originating from the vicinity of the imaging point and propagating to the sensors through the unknown medium. We explain how this estimate can be obtained using a reduced order model (ROM) for the wave propagation. We analyze the imaging function, connect it to the time reversal process and describe how its resolution depends on the aperture of the array, the bandwidth of the probing pulse and the medium through which the waves propagate. We also show how the internal wave can be used for selective focusing of waves at points in the imaging region. This can be implemented experimentally and can be used for pixel scanning imaging. We assess the performance of the imaging methods with numerical simulations and compare them to the conventional reverse-time migration method and the ‘backprojection’ method introduced recently as an application of the same ROM.
DOI: 10.1145/3323679.3326516
发表时间: 2019-07
期刊: Proceedings of the Twentieth ACM International Symposium on Mobile Ad Hoc Networking and Computing
影响因子: --
作者:
Qiang Liu;Tao Han
通讯作者: Qiang Liu;Tao Han
DOI: 10.1088/1361-6420/ab750b
发表时间: 2020
期刊: Inverse Problems
影响因子: 2.1
作者:
Borcea, L;Druskin, V;Mamonov, A;Moskow, S;Zaslavsky, M
通讯作者: Zaslavsky, M