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Analytical expressions for the clipping of Laguerre– and Hermite–Gauss modes by circular apertures

Vajente, Gabriele (2022) Analytical expressions for the clipping of Laguerre– and Hermite–Gauss modes by circular apertures. Journal of the Optical Society of America A, 39 (3). pp. 352-357. ISSN 1084-7529. doi:10.1364/josaa.448808.

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We present a closed-form analytical expression that describes the effect of clipping by circular apertures on laser beams, described in terms of an expansion in eigenmodes of the paraxial wave equation, in either the Laguerre–Gauss or Hermite–Gauss bases. This result provides a faster and more accurate way to compute the coupling between higher-order modes, compared to commonly used grid-based numerical integration.

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Vajente, Gabriele0000-0002-7656-6882
Additional Information:© 2022 Optica Publishing Group. Received 17 November 2021; revised 3 January 2022; accepted 17 January 2022; posted 18 January 2022; published 9 February 2022. The authors acknowledge the support of the National Science Foundation and the LIGO Laboratory. LIGO was constructed by the California Institute of Technology and Massachusetts Institute of Technology with funding from the National Science Foundation. This paper has LIGO document number LIGO-P2100414. Funding: Directorate for Mathematical and Physical Sciences (0757058, 1836809). Data availability. Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request. The code used for the analytical computation implemented in Python is available at [19]. The authors declare no conflicts of interest.
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LIGO DocumentP2100414
Issue or Number:3
Record Number:CaltechAUTHORS:20220520-231763000
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Official Citation:Gabriele Vajente, "Analytical expressions for the clipping of Laguerre– and Hermite–Gauss modes by circular apertures," J. Opt. Soc. Am. A 39, 352-357 (2022)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:114860
Deposited By: George Porter
Deposited On:24 May 2022 17:30
Last Modified:24 May 2022 17:30

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