Volume 11, Issue 2
Full Aperture Reconstruction of the Acoustic Far-Field Pattern from Few Measurements

Hélène Barucq, Chokri Bekkey & Rabia Djellouli

Commun. Comput. Phys., 11 (2012), pp. 647-659.

Published online: 2012-12

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  • Abstract

We propose a numerical procedure to extend to full aperture the acoustic far-field pattern (FFP) when measured in only few observation angles. The reconstruction procedure is a multi-step technique that combines a total variation regularized iterative method with the standard Tikhonov regularized pseudo-inversion. The proposed approach distinguishes itself from existing solution methodologies by using an exact representation of the total variation which is crucial for the stability and robustness of Newton algorithms. We present numerical results in the case of two-dimensional acoustic scattering problems to illustrate the potential of the proposed procedure for reconstructing the full aperture of the FFP from very few noisy data such as backscattering synthetic measurements.

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@Article{CiCP-11-647, author = {}, title = {Full Aperture Reconstruction of the Acoustic Far-Field Pattern from Few Measurements}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {2}, pages = {647--659}, abstract = {

We propose a numerical procedure to extend to full aperture the acoustic far-field pattern (FFP) when measured in only few observation angles. The reconstruction procedure is a multi-step technique that combines a total variation regularized iterative method with the standard Tikhonov regularized pseudo-inversion. The proposed approach distinguishes itself from existing solution methodologies by using an exact representation of the total variation which is crucial for the stability and robustness of Newton algorithms. We present numerical results in the case of two-dimensional acoustic scattering problems to illustrate the potential of the proposed procedure for reconstructing the full aperture of the FFP from very few noisy data such as backscattering synthetic measurements.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.281209.150610s}, url = {http://global-sci.org/intro/article_detail/cicp/7383.html} }
TY - JOUR T1 - Full Aperture Reconstruction of the Acoustic Far-Field Pattern from Few Measurements JO - Communications in Computational Physics VL - 2 SP - 647 EP - 659 PY - 2012 DA - 2012/12 SN - 11 DO - http://doi.org/10.4208/cicp.281209.150610s UR - https://global-sci.org/intro/article_detail/cicp/7383.html KW - AB -

We propose a numerical procedure to extend to full aperture the acoustic far-field pattern (FFP) when measured in only few observation angles. The reconstruction procedure is a multi-step technique that combines a total variation regularized iterative method with the standard Tikhonov regularized pseudo-inversion. The proposed approach distinguishes itself from existing solution methodologies by using an exact representation of the total variation which is crucial for the stability and robustness of Newton algorithms. We present numerical results in the case of two-dimensional acoustic scattering problems to illustrate the potential of the proposed procedure for reconstructing the full aperture of the FFP from very few noisy data such as backscattering synthetic measurements.

Hélène Barucq, Chokri Bekkey & Rabia Djellouli. (2020). Full Aperture Reconstruction of the Acoustic Far-Field Pattern from Few Measurements. Communications in Computational Physics. 11 (2). 647-659. doi:10.4208/cicp.281209.150610s
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