Redatuming of 2-D Wave Fields Measured on an Arbitrary-Shaped Closed Aperture

Taskin, Ulas; Neut, Joost van der; Gemmeke, H.; Dongen, Koen W. A. van

doi:10.1109/tuffc.2019.2942453

Cited by 5 publications

(5 citation statements)

References 30 publications

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“…The invertibility of matrix A in our formalism is likely to depend on the medium properties, the available bandwidth and the wavefield components that can be emitted and recorded in practice. For transcranial applications, we may modify the theory [40] or apply redatuming [41] to account for spherical arrays. Moreover, it might be necessary to place our transducers in a water layer, which is impenetrable for S-waves.…”

Section: Discussionmentioning

confidence: 99%

Marchenko Green's Function Retrieval in Layered Elastic Media from Two-Sided Reflection and Transmission Data

Neut¹,

Brackenhoff²,

Meles³

et al. 2022

Preprint

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By solving a Marchenko equation, Green's functions at an arbitrary (inner) depth level inside an unknown elastic layered medium can be retrieved from single-sided reflection data, which are to be collected at the top of the medium. So far, an exact solution could only be obtained if the medium obeys stringent monotonicity conditions and if all forward-scattered (non-converted and converted) transmissions between the acquisition level and the inner depth level are known a-priori. We introduce an alternative Marchenko equation by revising the window operators that are applied in its derivation. We also introduce an auxiliary equation for transmission data, which are to be collected at the bottom of the medium, and a coupled equation, which is based on both reflection and transmission data. We show that the joint system of the Marchenko equation, the auxiliary equation and the coupled equation can be succesfully inverted when broadband reflection and transmission data are available. This results in a novel methodology for elastodynamic Green's function retrieval from two-sided data. Apart from these data, our approach requires P- and S-wave transmission times between the inner depth level and the top of the medium, as well as two angle-dependent amplitude scaling factors, which can be estimated from the data by enforcing energy conservation.

show abstract

Section: Discussionmentioning

confidence: 99%

Marchenko Green's Function Retrieval in Layered Elastic Media from Two-Sided Reflection and Transmission Data

Neut¹,

Brackenhoff²,

Meles³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…The invertibility of matrix A in our formalism is likely to depend on the medium's properties, the available bandwidth and the wavefield components that can be emitted and recorded in practice. For transcranial applications, we may modify the theory [48] or apply redatuming [49] to account for spherical arrays. Moreover, it might be necessary to place our transducers in a water layer, which is impenetrable for S-waves.…”

Section: Discussionmentioning

confidence: 99%

Marchenko Green’s Function Retrieval in Layered Elastic Media from Two-Sided Reflection and Transmission Data

et al. 2022

Self Cite

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By solving a Marchenko equation, Green’s functions at an arbitrary (inner) depth level inside an unknown elastic layered medium can be retrieved from single-sided reflection data, which are collected at the top of the medium. To date, it has only been possible to obtain an exact solution if the medium obeyed stringent monotonicity conditions and if all forward-scattered (non-converted and converted) transmissions between the acquisition level and the inner depth level were known a priori. We introduce an alternative Marchenko equation by revising the window operators that are applied in its derivation. We also introduce an auxiliary equation for transmission data, which are collected at the bottom of the medium, and a coupled equation, which is based on both reflection and transmission data. We show that the joint system of the Marchenko equation, the auxiliary equation and the coupled equation can be succesfully inverted when broadband reflection and transmission data are available. This results in a novel methodology for elastodynamic Green’s function retrieval from two-sided data. Apart from these data, our approach requires P- and S-wave transmission times between the inner depth level and the top of the medium, as well as two angle-dependent amplitude scaling factors, which can be estimated from the data by enforcing energy conservation.

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“…However, it is also possible to reconstruct both speed of sound and density profiles accurately 18 with the aid of the redatuming methods earlier developed. 19,20 With CSI, the unknown contrast source is updated using an iterative scheme that minimizes the cost function…”

Section: Theorymentioning

confidence: 99%

Contrast source inversion on experimental data: initial results

Taskin¹,

Suzuki²,

Terada³

et al. 2022

Medical Imaging 2022: Ultrasonic Imaging and Tomography

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Quantitative images showing the speed of sound profile of the breast may be obtained by employing full-waveform inversion (FWI) methods on the measured data. These reconstruction methods work well for both dense and normal breasts. Contrast source inversion (CSI) is a frequency domain FWI method. In literature, many examples of successful application of CSI for breast imaging can be found. However, all these works are based on simulated data. In this work, we will present our first results obtained with employing CSI on experimental data. CSI was developed by Delft University of Technology and the experimental data was provided by FUJIFILM Healthcare Corporation. The experimental data is obtained using a ring-shaped transducer which scans a breast-mimicking gelatine phantom. Our initial results obtained with CSI look promising; all inclusions within the phantom are accurately reconstructed.

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Redatuming of 2-D Wave Fields Measured on an Arbitrary-Shaped Closed Aperture

Cited by 5 publications

References 30 publications

Marchenko Green's Function Retrieval in Layered Elastic Media from Two-Sided Reflection and Transmission Data

Marchenko Green's Function Retrieval in Layered Elastic Media from Two-Sided Reflection and Transmission Data

Marchenko Green’s Function Retrieval in Layered Elastic Media from Two-Sided Reflection and Transmission Data

Contrast source inversion on experimental data: initial results

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