| Abstract: |
| Inverse scattering from backscattering data is a foundational and impactful research area at the intersection of applied mathematics, computational physics, and engineering, with profound implications for critical real-world applications such as non-destructive testing, medical imaging, radar systems, and remote sensing. This research direction focuses on retrieving the geometric and physical properties of unknown scatterers (e.g., obstacles, inhomogeneous media) using only backscattered wave measurements-where the source and receiver are co-located or aligned in a backscattering configuration-a setup that is widely adopted in practical scenarios due to its simplicity and operational efficiency. In this talk, we introduce some uniqueness and numerical algorithms on this topic. In particular, our numerical algorithms avoid computing the direct problems. |
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