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

Hélène Barucq and Chokri Bekkey & Rabia Djellouli

10.4208/cicp.281209.150610s

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

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  • Abstract

Weproposeanumericalproceduretoextendtofullaperturetheacousticfarfield 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. 

  • History

Published online: 2012-12

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