Close Search Advanced
Journals
Resources
About Us
Open Access

Full Aperture Reconstruction of the Acoustic Far-Field Pattern from Few Measurements

Full Aperture Reconstruction of the Acoustic Far-Field Pattern from Few Measurements
Preview
Add to basket

Year:    2012

Communications in Computational Physics, Vol. 11 (2012), Iss. 2 : pp. 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.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.281209.150610s

Communications in Computational Physics, Vol. 11 (2012), Iss. 2 : pp. 647–659

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:   

  1. An extended direct factorization method for inverse scattering with limited aperture data

    Leem, Koung Hee | Liu, Jun | Pelekanos, George

    Inverse Problems in Science and Engineering, Vol. 28 (2020), Iss. 6 P.754

    https://doi.org/10.1080/17415977.2019.1647195 [Citations: 4]
  2. Numerical Methods for Inverse Scattering Problems

    Miscellaneous Topics

    Li, Jingzhi | Liu, Hongyu

    2023

    https://doi.org/10.1007/978-981-99-3772-1_8 [Citations: 0]

  3. A Far-Field Transformation Procedure for Monostatic Linear Sampling Method Imaging

    Alqadah, Hatim F. | Burfeindt, Matthew

    2019 International Conference on Electromagnetics in Advanced Applications (ICEAA), (2019), P.1387

    https://doi.org/10.1109/ICEAA.2019.8879380 [Citations: 3]

  4. Enhanced multilevel linear sampling methods for inverse scattering problems

    Li, Jingzhi | Liu, Hongyu | Wang, Qi

    Journal of Computational Physics, Vol. 257 (2014), Iss. P.554

    https://doi.org/10.1016/j.jcp.2013.09.048 [Citations: 34]