Reverse time migration for extended obstacles: acoustic waves

Chen, Junqing; Chen, Zhiming; Huang, Guanghui

doi:10.1088/0266-5611/29/8/085005

Cited by 60 publications

(95 citation statements)

References 18 publications

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“…The decay is given by bounding the indicator by the Bessel functions evaluated at |z − x| where x is in the obstacle or on the boundary of the obstacle. It is also shown that the indicator is equivalent to reverse time migration [9] and the orthogonal sampling method [23]. Similar analysis was employed in [16] to validate the DSM for elastic waves as well as the study of its applicability for limited-aperture data.…”

Section: Introductionmentioning

confidence: 92%

Analysis of new direct sampling indicators for far-field measurements

Harris

Kleefeld

2019

Inverse Problems

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This article focuses on the analysis of three direct sampling indicators which can be used for recovering scatterers from the far-field pattern of time-harmonic acoustic measurements. These methods fall under the category of sampling methods where an indicator function is constructed using the far-field operator. Motivated by some recent work, we study the standard indicator using the far-field operator and two indicators derived from the factorization method. We show equivalence of two indicators previously studied as well as propose a new indicator based on the Tikhonov regularization applied to the far-field equation for the factorization method. Finally, we give some numerical examples to show how the reconstructions compare to other direct sampling methods.

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Section: Introductionmentioning

confidence: 92%

Analysis of new direct sampling indicators for far-field measurements

Harris

Kleefeld

2019

Inverse Problems

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“…The aim is to detect and identify the unknown objects using acoustic, electromagnetic, or elastic waves. Many methods have been proposed, e.g., iterative methods, decomposition methods, the linear sampling method, the factorization method and direct sampling methods [4,5,6,7,9,11,13,14,15,18,19,23,24]. Most of the above algorithms use full-aperture data, i.e., data of all the observation directions due to all incident directions.…”

Section: Introductionmentioning

confidence: 99%

Data recovery in inverse scattering: From limited-aperture to full-aperture

Liu

Sun

2019

Journal of Computational Physics

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“…[12], Reverse Time Migration by Chen et.al. [4]. These direct sampling methods inherit many advantages of the classical ones, e.g., they are independent of any a priori information on the geometry and physical properties of the unknown objects.…”

Section: Introductionmentioning

confidence: 99%

A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency

Liu

2017

Inverse Problems

106

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A sampling method by using scattering amplitude is proposed for shape and location reconstruction in inverse acoustic scattering problems. Only matrix multiplication is involved in the computation, thus the novel sampling method is very easy and simple to implement. With the help of the factorization of the far field operator, we establish an inf-criterion for characterization of underlying scatterers. This result is then used to give a lower bound of the proposed indicator functional for sampling points inside the scatterers. While for the sampling points outside the scatterers, we show that the indicator functional decays like the bessel functions as the sampling point goes away from the boundary of the scatterers. We also show that the proposed indicator functional continuously dependents on the scattering amplitude, this further implies that the novel sampling method is extremely stable with respect to errors in the data. Different to the classical sampling method such as the linear sampling method or the factorization method, from the numerical point of view, the novel indicator takes its maximum near the boundary of the underlying target and decays like the bessel functions as the sampling points go away from the boundary. The numerical simulations also show that the proposed sampling method can deal with multiple multiscale case, even the different components are close to each other.

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Reverse time migration for extended obstacles: acoustic waves

Cited by 60 publications

References 18 publications

Analysis of new direct sampling indicators for far-field measurements

Analysis of new direct sampling indicators for far-field measurements

Data recovery in inverse scattering: From limited-aperture to full-aperture

A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency

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