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Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems
arXiv.org, v 37(7), p75003
11 Apr 2021
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Abstract
Data-driven reduced order models (ROMs) are combined with the Lippmann-Schwinger integral equation to produce a direct nonlinear inversion method. The ROM is viewed as a Galerkin projection and is sparse due to Lanczos orthogonalization. Embedding into the continuous problem, a data-driven internal solution is produced. This internal solution is then used in the Lippmann-Schwinger equation, thus making further iterative updates unnecessary. We show numerical experiments for spectral domain domain data for which our inversion is far superior to the Born inversion and works as well as when the true internal solution is known.
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15 citations in Scopus
Details
- Title
- Lippmann-Schwinger-Lanczos algorithm for inverse scattering problems
- Creators
- Vladimir DruskinShari MoskowMikhail Zaslavsky
- Publication Details
- arXiv.org, v 37(7), p75003
- Publisher
- Cornell University Library, arXiv.org; Ithaca
- Resource Type
- Other
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000663912000001
- Scopus ID
- 2-s2.0-85109091029
- Other Identifier
- 991019167783304721
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- Collaboration types
- Industry collaboration
- Domestic collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Mathematical