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Updated: May 29, 2025
11:34
Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
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Computational inverse scattering with internal sources: A reproducing kernel Hilbert space approach.
Yakun Dong1, Kamran Sadiq2, Otmar Scherzer3
1University of Vienna, Faculty of Mathematics, Oskar-Morgenstern-Platz 1, A-1090 Vienna, Austria.
Physical Review. E
|February 7, 2025
Summary
This study introduces a novel method for reconstructing the dielectric susceptibility of scattering media using inverse scattering principles. The technique effectively recovers the scattering potential in both 2D and 3D scenarios.
Area of Science:
- Optics and Photonics
- Electromagnetism
- Applied Mathematics
Background:
- Understanding light propagation in inhomogeneous media is crucial for various applications.
- Reconstructing material properties from scattering data presents significant challenges.
- Inverse scattering problems are fundamental in fields like medical imaging and remote sensing.
Purpose of the Study:
- To develop and validate a method for reconstructing dielectric susceptibility in scattering media.
- To address the inverse scattering problem with internal sources.
- To provide a robust technique for characterizing inhomogeneous materials.
Main Methods:
- Utilizing the theory of reproducing kernel Hilbert spaces.
- Employing regularization techniques for stable solutions.
- Applying a scalar model for light propagation.
- Solving the inverse scattering problem with internal sources.
Main Results:
- Successfully reconstructed the dielectric susceptibility (scattering potential) of inhomogeneous media.
- Demonstrated effectiveness in both two- and three-dimensional scattering scenarios.
- Numerical examples validated the proposed reconstruction method's accuracy and reliability.
Conclusions:
- The presented method offers an effective approach for dielectric susceptibility reconstruction.
- The technique is applicable to complex 2D and 3D scattering media.
- This work advances the capabilities in characterizing inhomogeneous materials through inverse scattering.
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