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Published on: January 3, 2016
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.
Summary
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.
- 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.
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