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Related Experiment Videos

An optimization approach to multi-dimensional time domain acoustic inverse problems.

M Gustafsson1, S He

  • 1Department of Electromagnetic Theory, Lund Institute of Technology, Sweden.

The Journal of the Acoustical Society of America
|October 29, 2000
PubMed
Summary
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This study presents a stable and robust optimization method for solving acoustic inverse problems. The approach efficiently reconstructs material properties using an analytic gradient, improving computation time for acoustic imaging.

Area of Science:

  • Acoustics
  • Computational Physics
  • Applied Mathematics

Background:

  • Acoustic inverse problems are crucial for non-invasive imaging and material characterization.
  • Traditional methods often face challenges with computational cost and robustness to noisy data.
  • Time-domain analysis offers a direct approach to understanding wave propagation phenomena.

Purpose of the Study:

  • To develop an efficient and stable optimization approach for multi-dimensional acoustic inverse problems in the time domain.
  • To reconstruct material properties, specifically density and sound speed, from acoustic measurements.
  • To enhance the computational efficiency of the reconstruction process.

Main Methods:

  • Formulation of an objective functional to be minimized for parameter reconstruction.

Related Experiment Videos

  • Derivation of the gradient of the objective functional using dual functions and the Gauss divergence theorem.
  • Implementation of an iterative conjugate gradient method for parameter reconstruction.
  • Testing the algorithm with noisy data to assess stability and robustness.

    • Main Results:

    • The derived analytic gradient provides an explicit expression, significantly reducing computation time.
    • The conjugate gradient method successfully reconstructs density and/or sound speed.
    • The algorithm demonstrates stability and robustness when tested with noisy acoustic data.

    Conclusions:

    • The proposed optimization approach is effective for time-domain acoustic inverse problems.
    • The use of an analytic gradient is key to achieving computational efficiency.
    • The method offers a stable and robust solution for reconstructing material properties in acoustics.