Inverse problems for microcavity tilt readout

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Abstract

In paraxial approximation, the electromagnetic eigenmodes inside an optical microresonator can be derived from a Schrödinger-type eigenvalue problem [2,3]. 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.

[2] D. Gloge and D. Marcuse, J. Opt. Soc. Am. 59, 1629 (1969).
[3] C. Toebes, M. Vretenar, & J. Klaers, Commun Phys 5, 59 (2022)
Original languageEnglish
Publication statusPublished - 13 May 2024
EventCondensates of Light 2024: WE-Heraeus-Seminar - the Physikzentrum Bad Honnef, Bad Honnef, Germany
Duration: 12 May 202416 May 2024
https://www.we-heraeus-stiftung.de/veranstaltungen/condensates-of-light/main/

Seminar

SeminarCondensates of Light 2024
Country/TerritoryGermany
CityBad Honnef
Period12/05/2416/05/24
Internet address

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