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Related Experiment Videos

A three dimensional inverse scattering algorithm in the time-domain based on nonlinear optimization.

A T Vouldis1, N K Uzunoglu, T A Maniatis

  • 1Dept. of Electr. & Comput. Eng., Nat. Tech. Univ. of Athens, Greece.

Conference Proceedings : ... Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual Conference
|February 3, 2007
PubMed
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A novel algorithm solves the 3D inverse scattering problem using time-domain data, applicable beyond Born/Rytov approximations. It minimizes an error functional by projecting internal fields and using time-windowing for efficiency.

Area of Science:

  • Electromagnetics and Wave Propagation
  • Computational Physics
  • Applied Mathematics

Background:

  • The three-dimensional inverse scattering problem is crucial in various fields.
  • Linearization methods like Born and Rytov approximations have limitations.
  • Non-linear inverse scattering problems require robust algorithmic solutions.

Purpose of the Study:

  • To present a new algorithm for solving the 3D inverse scattering problem.
  • To address scenarios where Born or Rytov approximations are insufficient.
  • To develop an efficient method for reconstructing object properties from scattering data.

Main Methods:

  • Definition of an error functional encompassing object and data equation discrepancies.
  • Minimization of the functional by seeking unknown internal field coefficients and object function.

Related Experiment Videos

  • Projection of the internal field onto a Gaussian basis function space to reduce unknowns.
  • Application of time-windowing to decrease the computational complexity of the optimization.

    • Main Results:

    • The proposed algorithm effectively solves the 3D inverse scattering problem.
    • It demonstrates applicability in non-linear scattering regimes.
    • The use of Gaussian basis functions and time-windowing significantly enhances computational efficiency.

    Conclusions:

    • The developed algorithm offers a powerful tool for non-linear inverse scattering problems.
    • It provides a viable alternative when traditional approximations fail.
    • The method's efficiency makes it suitable for complex scattering scenarios.