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<p>Characterizing both the radial (p) and azimuthal (ℓ) indices of Laguerre-Gaussian (LG) beams remains a challenge mainly due to their transverse amplitude profiles. We report a simple yet robust method for simultaneously identifying both mode indices using an off-axis parabolic mirror (OPM). The far-field diffraction pattern produced by an incident LG beam on OPM exhibits characteristic spot distributions, which can be analyzed to determine the magnitude and sign of the topological charge, as well as the radial index. Furthermore, we show that this technique exhibits excellent tolerance to beam misalignment. Experimental results show good agreement with numerical simulations.</p>

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Complete modal characterization in Laguerre-Gaussian Beams using a paraboloid off-axis reflector

  • 期刊论文

  • 发表日期：

    2025年7月11日

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  • Ali Mardan Dezfouli,
  • Mario Rakić,
  • Hrvoje Skenderović

摘要

Characterizing both the radial (p) and azimuthal (ℓ) indices of Laguerre-Gaussian (LG) beams remains a challenge mainly due to their transverse amplitude profiles. We report a simple yet robust method for simultaneously identifying both mode indices using an off-axis parabolic mirror (OPM). The far-field diffraction pattern produced by an incident LG beam on OPM exhibits characteristic spot distributions, which can be analyzed to determine the magnitude and sign of the topological charge, as well as the radial index. Furthermore, we show that this technique exhibits excellent tolerance to beam misalignment. Experimental results show good agreement with numerical simulations.