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Observation of Boyer-Wolf Gaussian modes

Author

Listed:
  • Konrad Tschernig

    (The University of Central Florida)

  • David Guacaneme

    (The University of Central Florida)

  • Oussama Mhibik

    (The University of Central Florida)

  • Ivan Divliansky

    (The University of Central Florida)

  • Miguel A. Bandres

    (The University of Central Florida)

Abstract

Stable laser resonators support three fundamental families of transverse modes: the Hermite, Laguerre, and Ince Gaussian modes. These modes are crucial for understanding complex resonators, beam propagation, and structured light. We experimentally observe a new family of fundamental laser modes in stable resonators: Boyer-Wolf Gaussian modes. By studying the isomorphism between laser cavities and quadratic Hamiltonians, we design a laser resonator equivalent to a quantum two-dimensional anisotropic harmonic oscillator with a 2:1 frequency ratio. The generated Boyer-Wolf Gaussian modes exhibit a parabolic structure and show remarkable agreement with our theoretical predictions. These modes are also eigenmodes of a 2:1 anisotropic gradient refractive index medium, suggesting their presence in any physical system with a 2:1 anisotropic quadratic potential. We identify a transition connecting Boyer-Wolf Gaussian modes to Weber nondiffractive parabolic beams. These new modes are foundational for structured light, and open exciting possibilities for applications in laser micromachining, particle micromanipulation, and optical communications.

Suggested Citation

  • Konrad Tschernig & David Guacaneme & Oussama Mhibik & Ivan Divliansky & Miguel A. Bandres, 2024. "Observation of Boyer-Wolf Gaussian modes," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-49456-x
    DOI: 10.1038/s41467-024-49456-x
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    References listed on IDEAS

    as
    1. Logan W. Clark & Nathan Schine & Claire Baum & Ningyuan Jia & Jonathan Simon, 2020. "Observation of Laughlin states made of light," Nature, Nature, vol. 582(7810), pages 41-45, June.
    2. Nathan Schine & Albert Ryou & Andrey Gromov & Ariel Sommer & Jonathan Simon, 2016. "Synthetic Landau levels for photons," Nature, Nature, vol. 534(7609), pages 671-675, June.
    3. Sandile Ngcobo & Igor Litvin & Liesl Burger & Andrew Forbes, 2013. "A digital laser for on-demand laser modes," Nature Communications, Nature, vol. 4(1), pages 1-6, October.
    4. José A. Rivera & Thomas C. Galvin & Austin W. Steinforth & J. Gary Eden, 2018. "Fractal modes and multi-beam generation from hybrid microlaser resonators," Nature Communications, Nature, vol. 9(1), pages 1-8, December.
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