Inverse scattering for waveguides in topological insulators
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916026869874688 |
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| author | Bal, Guillaume Wang, Xixian Wang, Zhongjian |
| author_facet | Bal, Guillaume Wang, Xixian Wang, Zhongjian |
| contents | This paper concerns the inverse scattering problem of a topologically non-trivial waveguide separating two-dimensional topological insulators. We consider the specific model of a Dirac system. We show that a short-range perturbation can be fully reconstructed from scattering data in a linearized setting and in a finite-dimensional setting under a smallness constraint. We also provide a stability result in appropriate topologies. We then solve the problem numerically by means of a standard adjoint method and illustrate our theoretical findings with several numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22480 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inverse scattering for waveguides in topological insulators Bal, Guillaume Wang, Xixian Wang, Zhongjian Mathematical Physics Numerical Analysis Analysis of PDEs This paper concerns the inverse scattering problem of a topologically non-trivial waveguide separating two-dimensional topological insulators. We consider the specific model of a Dirac system. We show that a short-range perturbation can be fully reconstructed from scattering data in a linearized setting and in a finite-dimensional setting under a smallness constraint. We also provide a stability result in appropriate topologies. We then solve the problem numerically by means of a standard adjoint method and illustrate our theoretical findings with several numerical simulations. |
| title | Inverse scattering for waveguides in topological insulators |
| topic | Mathematical Physics Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2512.22480 |