Inverse solving the Schrödinger equation for precision alignment of a microcavity
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866913310316691456 |
|---|---|
| author | Mattschas, Charlie Puplauskis, Marius Toebes, Chris Sharoglazova, Violetta Klaers, Jan |
| author_facet | Mattschas, Charlie Puplauskis, Marius Toebes, Chris Sharoglazova, Violetta Klaers, Jan |
| contents | In paraxial approximation, the electromagnetic eigenmodes inside an optical microresonator can be derived from a Schrödinger-type eigenvalue problem. In this framework, tilting the cavity mirrors effectively introduces a linear potential to the system. In our work, we apply solution strategies for inverse problems to precisely determine and control the relative orientation of two mirrors forming an optical microcavity. Our approach employs the inversion of the Schrödinger equation to reconstruct the effective potential landscape, and thus mirror tilts, from observed mode patterns. We investigate regularization techniques to address the ill-posed nature of inverse problems and to improve the stability of solutions. Our method consistently achieves an angle resolution of order 100 nanoradians per measurement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07760 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inverse solving the Schrödinger equation for precision alignment of a microcavity Mattschas, Charlie Puplauskis, Marius Toebes, Chris Sharoglazova, Violetta Klaers, Jan Optics Quantum Physics In paraxial approximation, the electromagnetic eigenmodes inside an optical microresonator can be derived from a Schrödinger-type eigenvalue problem. In this framework, tilting the cavity mirrors effectively introduces a linear potential to the system. In our work, we apply solution strategies for inverse problems to precisely determine and control the relative orientation of two mirrors forming an optical microcavity. Our approach employs the inversion of the Schrödinger equation to reconstruct the effective potential landscape, and thus mirror tilts, from observed mode patterns. We investigate regularization techniques to address the ill-posed nature of inverse problems and to improve the stability of solutions. Our method consistently achieves an angle resolution of order 100 nanoradians per measurement. |
| title | Inverse solving the Schrödinger equation for precision alignment of a microcavity |
| topic | Optics Quantum Physics |
| url | https://arxiv.org/abs/2404.07760 |