Transport models for wave propagation in scattering media with nonlinear absorption
Fuente:
arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866908329845981184 |
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| author | Kraisler, Joseph Li, Wei Ren, Kui Schotland, John C. Zhong, Yimin |
| author_facet | Kraisler, Joseph Li, Wei Ren, Kui Schotland, John C. Zhong, Yimin |
| contents | This work considers the propagation of high-frequency waves in highly-scattering media where physical absorption of a nonlinear nature occurs. Using the classical tools of the Wigner transform and multiscale analysis, we derive semilinear radiative transport models for the phase-space intensity and the diffusive limits of such transport models. As an application, we consider an inverse problem for the semilinear transport equation, where we reconstruct the absorption coefficients of the equation from a functional of its solution. We obtain a uniqueness result on the inverse problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_17024 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Transport models for wave propagation in scattering media with nonlinear absorption Kraisler, Joseph Li, Wei Ren, Kui Schotland, John C. Zhong, Yimin Analysis of PDEs Mathematical Physics This work considers the propagation of high-frequency waves in highly-scattering media where physical absorption of a nonlinear nature occurs. Using the classical tools of the Wigner transform and multiscale analysis, we derive semilinear radiative transport models for the phase-space intensity and the diffusive limits of such transport models. As an application, we consider an inverse problem for the semilinear transport equation, where we reconstruct the absorption coefficients of the equation from a functional of its solution. We obtain a uniqueness result on the inverse problem. |
| title | Transport models for wave propagation in scattering media with nonlinear absorption |
| topic | Analysis of PDEs Mathematical Physics |
| url | https://arxiv.org/abs/2210.17024 |