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Topological expansion of Boehm’s brushes via structured light

  • Dmitry A. Pushin
  • , Iman Salehi
  • , Amy Chow
  • , Andrew E. Silva
  • , Pinki Chahal
  • , David G. Cory
  • , Mukhit Kulmaganbetov
  • , Gary P. Misson
  • , Naume Shentevski
  • , Taranjit Singh
  • , Shelby E. Temple
  • , Benjamin Thompson
  • , Dusan Sarenac

Research output: Contribution to journalArticlepeer-review

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Abstract

We report an entoptic phenomenon in which the classical two-lobed Boehm’s brushes are transformed into a multilobed structure by projecting spin–orbit-coupled light onto the human retina. These structured beams, composed of nonseparable superpositions of circular polarization and orbital angular momentum, produce azimuthally modulated entoptic patterns through polarization-dependent scattering in the retina. Unlike Haidinger’s brushes, which arise from dichroic absorption in the macula, the observed effect is driven by angular variations in scattering strength relative to the local polarization direction. In regions where scattering centers exhibit polarization orientations that converge toward a common point, their combined contributions reinforce one another, producing brighter and more sharply defined entoptic lobes whose number and orientation vary systematically with the topology of the spin–orbit stimulus. Psychophysical measurements across retinal eccentricities from 0.5° to 4° in eleven participants revealed that contrast detection thresholds decreased exponentially with eccentricity, consistent with polarization-sensitive scattering by isotropic structures in the nonfoveal retinal regions. From the psychophysical fits, the mean eccentricity at which the entoptic pattern reached a 50% threshold was with a 95% CI of [0.72, 1.34]°, indicating that the spin–orbit-induced entoptic structure becomes perceptually robust at approximately 1° retinal eccentricity and that perception improves with increasing retinal eccentricity. Together, these findings demonstrate that spin–orbit light modulates scattering-based visual phenomena in previously unrecognized ways, enabling approaches for probing retinal structure and visual processing using topological features of light.
Original languageEnglish
Article numbere2532243123
Number of pages6
JournalProceedings of the National Academy of Sciences
Volume123
Issue number28
Early online date9 Jul 2026
DOIs
Publication statusPublished - 14 Jul 2026

Bibliographical note

Copyright © 2026 the Author(s). Published by PNAS. This open access article is distributed under Creative Commons Attribution License 4.0 (CC BY).

Data Access Statement

All study data are included in the article and/or SI Appendix: https://www.pnas.org/doi/10.1073/pnas.2532243123#supplementary-materials

Funding

This work was supported by the Natural Sciences and Engineering Research Council of Canada grants [RGPIN–2018–04989], [RPIN–05394], [RGPAS–477166], the Government of Canada’s New Frontiers in Research Fund [NFRFE–2019–00446], and the Canada First Research Excellence Fund. This study was supported by the InnoHK initiative of the Innovation and Technology Commission of the Hong Kong Special Administrative Region Government.

FundersFunder number
Innovation and Technology Commission
Natural Sciences and Engineering Research Council of CanadaRGPAS–477166, RPIN–05394, RGPIN–2018–04989
Government of CanadaNFRFE–2019–00446

    Keywords

    • structured light
    • entoptic phenomena
    • vision science
    • spin-orbit beams
    • topological beams

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