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Physics

Topological Polarimetry: Polarization Skyrmions and Vortices from Tissue Scattering

Elena Vasilieva, Ifra Arif, Oleksii Sieryi, Alexander Doronin, Alexander Bykov, Igor Meglinski

Featured July 24, 2026

Original Paper

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Simply

By measuring how light's twisty patterns organize across tissue, scientists can spot cancer using topological invariants like skyrmion charge, which are robust to noise and reveal hidden tissue structure.

In depth
The paper introduces topological polarimetry, a novel approach that quantifies the spatial organization of light's polarization field after scattering through tissue. Instead of analyzing local pixel properties, it identifies and measures polarization vortices and Néel-type skyrmions using integer-valued topological invariants. These invariants provide robust, zero-background readouts of tissue heterogeneity, demonstrating that malignant tissue exhibits non-trivial polarization topology while healthy tissue remains topologically trivial.

Key Takeaways

  • 1
    The study establishes topological invariants (winding number and skyrmion charge) as novel, physically interpretable observables for characterizing tissue organization, moving beyond pixel-local polarimetric metrics.
  • 2
    Malignant ductal carcinoma is shown to generate non-trivial polarization topology (vortices and skyrmions) in back-scattered light, whereas adjacent healthy tissue produces topologically trivial fields, offering a robust diagnostic signature.
  • 3
    As integer-valued quantities, these topological invariants are inherently robust against measurement noise, calibration drift, and illumination variations, providing zero-background readouts of tissue heterogeneity.

Conceptual Flow

HIGH LEVEL
1
Methodology: Capturing Tissue's Hidden Patterns

The scientists shine special light on tissue, measure how it scatters, and then use math to find hidden swirl patterns that show if the tissue is healthy or sick.

Special Light
Tissue Sample
Scatters Light
Light's Twist Patterns
Calculate Swirl Numbers
2
Results: Cancer Reveals Unique Swirls

They found that healthy tissue makes simple light patterns, but cancer tissue creates complex, unique swirl patterns that act like a secret code for disease.

Healthy Tissue
Cancer Tissue
Creates Light Patterns
Simple Swirl Numbers
Complex Swirl Numbers