Efficient operator method for modeling mode mixing in misaligned optical cavities

Hughes, W.J., Doherty, T.H., Blackmore, J.A., Horak, P. and Goodwin, J.F. (2024) Efficient operator method for modeling mode mixing in misaligned optical cavities. Physical Review A, 109 (1), [013524]. (doi:10.1103/PhysRevA.109.013524).

Record type: Article

Abstract

The transverse field structure and diffraction loss of the resonant modes of Fabry-Pérot optical cavities are acutely sensitive to the alignment and shape of the mirror substrates. We develop extensions to the mode-mixing method applicable to arbitrary mirror shapes, which both facilitate fast calculation of the modes of cavities with transversely misaligned mirrors and enable the determination and transformation of the geometric properties of these modes. We show how these methods extend previous capabilities by including the practically motivated case of transverse mirror misalignment, presenting the ability to study the rich and complex structure of the resonant modes.

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Submitted date: 19 June 2023

Accepted/In Press date: 20 December 2023

Published date: 31 January 2024

Additional Information: Publisher Copyright: © 2024 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.