@Article{CiCP-11-2,
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 = {<p style="text-align: justify;">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 <em>total variation</em> 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 <em>backscattering</em> synthetic measurements.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.281209.150610s},
url = {https://global-sci.com/article/80714/full-aperture-reconstruction-of-the-acoustic-far-field-pattern-from-few-measurements}
}