A multi-step procedure for enriching limited two-dimensional acoustic far-field pattern measurements

作者：Barucq Helene; Bekkey Chokri; Djellouli Rabia^*

来源：Journal of Inverse and Ill-Posed Problems, 2010, 18(2): 189-216.

DOI：10.1515/JIIP.2010.007

• Acoustic scattering problem
• limited aperture
• inverse obstacle problem
• illposed problem
• total variation
• Tikhonov regularization
• Newton method

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 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 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.

• 出版日期2010-5
• 单位INRIA