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Numerical model of light propagation through Fabry-Perot etalons composed of interfaces with non-planar surface topography

Marques, Dylan M; Guggenheim, James A; Munro, Peter RT; (2022) Numerical model of light propagation through Fabry-Perot etalons composed of interfaces with non-planar surface topography. Optics Express , 30 (26) pp. 46294-46306. 10.1364/oe.472308. Green open access

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Abstract

We present a model that calculates optical fields reflected and transmitted by a Fabry-Perot (FP) etalon composed of interfaces with non-planar surface topography. The model uses the Rayleigh-Rice theory, which predicts the fields reflected and transmitted by a single interface, to account for the non-planar surface topography of each interface. The Rayleigh-Rice theory is evaluated iteratively to account for all round trips that light can take within the FP etalon. The model predictions can then be used to compute Interferometer transfer function (ITF)s, by performing wavelength or angle resolved simulations enabling predictions of the bandwidth, peak transmissivity, and sensitivity of FP etalons. The model was validated against the Pseudospectral time-domain (PSTD) method, which resulted in good agreement. Since the model accuracy is expected to reduce as the Root mean square (RMS) of the topographic map increases, the error in the model’s predictions was studied as a function of topographic map RMS. Finally, application of the model was exemplified by predicting the impact of roughness on ITFs and computing the changes in FP etalon transmissivity as cavity thickness is modulated by an ultrasonic wave.

Type: Article
Title: Numerical model of light propagation through Fabry-Perot etalons composed of interfaces with non-planar surface topography
Open access status: An open access version is available from UCL Discovery
DOI: 10.1364/oe.472308
Publisher version: https://doi.org/10.1364/oe.472308
Language: English
Additional information: Published by Optica Publishing Group under the terms of the Creative Commons Attribution 4.0 License (http://creativecommons.org/licenses/by/4.0/). Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Med Phys and Biomedical Eng
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10161743
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