# A Multi-Step Procedure for Enriching Limited Two-Dimensional Acoustic Far-Field Pattern Measurements.

2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : We propose a three-step solution methodology to increase the discrete set of acoustic far-field pattern (FFP) measurements, available in a small range of observation angles (small aperture). The first two steps of the proposed procedure allow the extension of the data to an aperture larger than $\pi/2$. They use a regularized Newton algorithm where the {\it total variation} of the FFP is incorporated as a regularization term. The third step consists in applying the standard Tikhonov regularization technique to recover the {\it full} aperture of the FFP from the previously extended field. Numerical results obtained using synthetic data illustrate the potential of the proposed procedure for reconstructing the full aperture of the FFP from data given in an aperture as small as backscattering measurements.
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Rapport
[Research Report] RR-7048, INRIA. 2009, pp.30

Littérature citée [31 références]

https://hal.inria.fr/inria-00420644
Contributeur : Hélène Barucq <>
Soumis le : mardi 29 septembre 2009 - 15:21:12
Dernière modification le : jeudi 11 janvier 2018 - 06:22:32
Document(s) archivé(s) le : mercredi 16 juin 2010 - 00:12:11

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• HAL Id : inria-00420644, version 1

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Hélène Barucq, Chokri Bekkey, Rabia Djellouli. A Multi-Step Procedure for Enriching Limited Two-Dimensional Acoustic Far-Field Pattern Measurements.. [Research Report] RR-7048, INRIA. 2009, pp.30. 〈inria-00420644〉

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