Lipschitz stability estimates for translations and balls in inverse scattering

Ohin Kwon, Jin Keun Seo

Research output: Contribution to journalConference article

6 Citations (Scopus)

Abstract

We consider the inverse scattering problem for the Helmholtz equation determining the unknown sound-soft obstacle for a fixed wavenumber k > 0. The far-field pattern for the translation of a connected bounded obstacle is represented for the one fixed reference obstacle. Using this representation, we establish Lipschitz stability of the recovery of the translated location from knowledge of the far-field pattern for one incident plane wave. Lipschitz stability estimates for balls in ℝ3 are also obtained from two incident plane waves and far-field patterns.

Original languageEnglish
Pages (from-to)293-301
Number of pages9
JournalInverse Problems
Volume16
Issue number2
DOIs
Publication statusPublished - 2000 Apr 1
Event1st World Congress on Industrial Process Tomography - Buxton, United Kingdom
Duration: 1999 Apr 141999 Apr 17

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All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

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