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Related Experiment Videos

Hilbert space inverse wave imaging in a planar multilayer environment.

Sean K Lehman1

  • 1Lawrence Livermore National Laboratory, L-154, 7000 East Avenue, Livermore, California 94550, USA. lehman2@llnl.gov

The Journal of the Acoustical Society of America
|June 17, 2005
PubMed
Summary

This study introduces a novel numerical diffraction tomography (DT) algorithm that bypasses the need for homogeneous Green functions (GFs). This advancement enables non-invasive imaging of flaws in multilayer materials using ultrasonic data.

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Area of Science:

  • Physics
  • Materials Science
  • Applied Mathematics

Background:

  • Traditional diffraction tomography (DT) algorithms rely on homogeneous Green functions (GFs), simplifying inversions but limiting applicability.
  • Estimating non-homogeneous GFs or integrating them into existing DT algorithms presents significant practical challenges.

Purpose of the Study:

  • To develop a purely numerical DT inversion algorithm independent of measurement geometry, frequency, and Green functions.
  • To demonstrate the algorithm's efficacy in nondestructive evaluation (NDE) of multilayer materials.

Main Methods:

  • Implemented Devaney's numerical DT inversion algorithm, which is independent of Green functions.
  • Developed a planar multilayer Green function for use with the Hilbert space algorithm.

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  • Conducted a proof-of-principle NDE experiment using ultrasonic data from an aluminum/copper multilayer medium.

    • Main Results:

    • Successfully imaged a flaw non-invasively within the aluminum/copper planar multilayer medium.
    • Data were collected using a multistatic method without beamforming, with all focusing performed mathematically post-acquisition.

    Conclusions:

    • The developed numerical DT algorithm offers a robust alternative to traditional methods, overcoming limitations associated with Green functions.
    • This approach facilitates advanced NDE of complex multilayer structures.