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Related Experiment Videos

Time reversal and its application to tomography with diffracting sources.

Yuan Xu1, Lihong V Wang

  • 1Optical Imaging Laboratory, Department of Biomedical Engineering, Texas A&M University, 3120 TAMU, College Station, Texas 77843-3120, USA.

Physical Review Letters
|February 3, 2004
PubMed
Summary

This study introduces a novel time-domain method to precisely reverse transient scalar waves using boundary measurements. This enables exact reconstruction in three-dimensional broadband diffraction tomography, verified by simulation.

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Area of Science:

  • Wave propagation
  • Inverse scattering problems
  • Computational electromagnetics

Background:

  • Accurate wave field reconstruction is crucial for inverse problems.
  • Time-domain analysis offers direct physical insight into wave phenomena.
  • Existing methods may face limitations in complex scattering scenarios.

Purpose of the Study:

  • To develop an exact time-domain method for time-reversing transient scalar waves.
  • To enable exact reconstruction in three-dimensional broadband diffraction tomography.
  • To explore extensions for heterogeneous media using Green's functions.

Main Methods:

  • Proposing an exact time-domain method utilizing field measurements on a closed surface.
  • Approximating time-reversed fields by retransmitting measured signals in reverse temporal order.

Related Experiment Videos

  • Applying time-reversal to achieve exact reconstruction in a linearized inverse scattering problem (diffraction tomography).

    • Main Results:

    • An exact time-domain method for transient wave time-reversal is successfully proposed.
    • The method allows for exact reconstruction in 3D broadband diffraction tomography.
    • Numerical simulations verified the proposed algorithm's effectiveness.

    Conclusions:

    • The proposed time-domain method provides an exact approach to wave time-reversal.
    • This technique facilitates accurate reconstruction in complex inverse scattering problems.
    • The method shows potential for extension to more challenging scenarios, including heterogeneous media.