• Corpus ID: 245837595

# High-frequency limit of the inverse scattering problem: asymptotic convergence from inverse Helmholtz to inverse Liouville

@article{Chen2022HighfrequencyLO,
title={High-frequency limit of the inverse scattering problem: asymptotic convergence from inverse Helmholtz to inverse Liouville},
author={Shi Chen and Zhiyan Ding and Qin Li and Leonardo Zepeda-N'unez},
journal={ArXiv},
year={2022},
volume={abs/2201.03494}
}
• Published 10 January 2022
• Mathematics
• ArXiv
. We investigate the asymptotic relation between the inverse problems relying on the Helmholtz equation and the radiative transfer equation (RTE) as physical models, in the high-frequency limit. In particular, we evaluate the asymptotic convergence of a generalized version of inverse scattering problem based on the Helmholtz equation, to the inverse scattering problem of the Liouville equation (a simpliﬁed version of RTE). The two inverse problems are connected through the Wigner transform that…

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