Flaw shape reconstruction using topological gradient for 2D scalar wave equation

K. Kimoto, S. Hirose

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This study is concerned with a non-linear inverse scattering technique called Time-Domain Topological Gradient (TDTG) for 2D wave equation. The TDTG is a recently developed shape optimization technique for elastodynamic problems with several potential advantages. The method, however, hasn't been used in the context of array ultrasonic imaging. In this study, performance of the TDTG is investigated numerically and experimentally by solving two example problems. The first is a numerical example in which a vertical slit in a plate is reconstructed from simulated data. The second one is a reconstruction from experimental data. Ultrasonic signals from a side-drilled hole in a steel block specimen are measured by an array transducer. The profile of the hole is reconstructed from those ultrasonic signals in the second problem. The results show that the TDTG can effectively use the phase focused beam fields, and very accurate in reconstructing not only a flat object but also a round one.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages672-679
Number of pages8
Volume975
DOIs
Publication statusPublished - 2008
Externally publishedYes
Event34th Annual Review of Progress in Quantitative Nondestructive Evaluation - Golden, CO, United States
Duration: Jul 22 2007Jul 27 2007

Other

Other34th Annual Review of Progress in Quantitative Nondestructive Evaluation
CountryUnited States
CityGolden, CO
Period7/22/077/27/07

Fingerprint

wave equations
scalars
gradients
ultrasonics
defects
shape optimization
elastodynamics
inverse scattering
slits
transducers
steels
profiles

Keywords

  • Array transducer
  • Shape reconstruction
  • Topological gradient

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Flaw shape reconstruction using topological gradient for 2D scalar wave equation. / Kimoto, K.; Hirose, S.

AIP Conference Proceedings. Vol. 975 2008. p. 672-679.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kimoto, K & Hirose, S 2008, Flaw shape reconstruction using topological gradient for 2D scalar wave equation. in AIP Conference Proceedings. vol. 975, pp. 672-679, 34th Annual Review of Progress in Quantitative Nondestructive Evaluation, Golden, CO, United States, 7/22/07. https://doi.org/10.1063/1.2902727
Kimoto, K. ; Hirose, S. / Flaw shape reconstruction using topological gradient for 2D scalar wave equation. AIP Conference Proceedings. Vol. 975 2008. pp. 672-679
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