Published March 2022
| Version public
Journal Article
Analytical expressions for the clipping of Laguerre– and Hermite–Gauss modes by circular apertures
Abstract
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.
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.Additional details
Identifiers
- Eprint ID
- 114860
- Resolver ID
- CaltechAUTHORS:20220520-231763000
Related works
- Describes
- 10.1364/JOSAA.448808 (DOI)
- https://gitlab.com/gabrielevajente/lgclipping (URL)
Funding
- NSF
- PHY-0757058
- NSF
- PHY-1836809
Dates
- Created
-
2022-05-24Created from EPrint's datestamp field
- Updated
-
2022-05-24Created from EPrint's last_modified field
Caltech Custom Metadata
- Caltech groups
- LIGO
- Other Numbering System Name
- LIGO Document
- Other Numbering System Identifier
- P2100414