Locating multiple multiscale acoustic scatterers

Jingzhi Li*, Hongyu LIU, Jun Zou

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)

Abstract

We develop three inverse scattering schemes for locating multiple multiscale acoustic scatterers in a very general and practical setting. For all of the three locating schemes, only one single far-field measurement is used. The number of the multiple scatterer components may be unknown, and each scatterer component is allowed to be an inhomogeneous medium with an unknown content or an impenetrable obstacle of sound-soft, sound-hard, or impedance type. Moreover, the scatterers could be multiscale; i.e., some scatterers may be of regular size, and some others may be of small size in terms of the wavelength of the detecting acoustic wave. If a scatterer component is of regular size, it is required that its shape (not necessarily its orientation, size, and location) should be from an admissible class which is known in advance. The locating schemes are based on some novel indicator functions and are computationally cheap and robust against the measurement noise. Rigorous mathematical justifications are provided for each scheme, and numerical experiments are presented to demonstrate its robustness and effectiveness.

Original languageEnglish
Pages (from-to)927-952
Number of pages26
JournalMultiscale Modeling and Simulation
Volume12
Issue number3
DOIs
Publication statusPublished - 2014

Scopus Subject Areas

  • Chemistry(all)
  • Modelling and Simulation
  • Ecological Modelling
  • Physics and Astronomy(all)
  • Computer Science Applications

User-Defined Keywords

  • Indicator functions
  • Inverse scattering
  • Locating
  • Multiscale acoustic scatterers
  • Single far-field measurement

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