Siegman’s elegant laser resonator modes

•A finite sum of elegant modes produces a new family of confocal resonators modes.•New family of self-healing confocal resonator modes with orbital angular momentum.•The asymmetry of elegant modes is overcome to produce confocal resonator modes. In the seminal paper on elegant Gaussian beams, Siegma...

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Bibliographic Details
Published in:Optics and laser technology 2021-11, Vol.143, p.107340, Article 107340
Main Authors: Ugalde-Ontiveros, J.A., Jaimes-Nájera, A., Gómez-Correa, J.E., Chávez-Cerda, S.
Format: Article
Language:English
Subjects:
Angular momentum
Confocal resonators
Elegant modes
Gaussian beams (optics)
Optical cavities
Resonators
Structured wave-fields
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Summary:•A finite sum of elegant modes produces a new family of confocal resonators modes.•New family of self-healing confocal resonator modes with orbital angular momentum.•The asymmetry of elegant modes is overcome to produce confocal resonator modes. In the seminal paper on elegant Gaussian beams, Siegman introduced them as a complex-argument variant of standard Gaussian beams and proved that they cannot be eigenmodes of spherical resonators. In this work, we demonstrate that this intrinsic asymmetry can be overcome by judiciously superposing a finite number of elegant Laguerre–Gauss beams, all of them having the same amount of orbital angular momentum. In other words, we found a new family of elegant modes that are eigenmodes of confocal resonators and will call them Siegman’s elegant resonator modes.
ISSN:0030-3992
1879-2545
DOI:10.1016/j.optlastec.2021.107340