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Updated: Aug 9, 2026

New Framework for Understanding Cross-Brain Coherence in Functional Near-Infrared Spectroscopy (fNIRS) Hyperscanning Studies
Published on: October 6, 2023
Coherence polarization filtering and relation with intrinsic degrees of coherence
Philippe Réfrégier1, Antoine Roueff
1Physics and Image Procesing Group/Fresnel Institute UMR CNRS 6133, Ecole Généraliste d'Ingénieurs de Marseille, Domaine Universitaire de Saint-Jérôme, France. philippe.refregier@fresnel.fr
Abstract:
It is demonstrated for stationary fields that when the polarization state of the electric field can be modified arbitrarily the maximal value of the modulus of the degree of coherence proposed by Wolf [Phys. Lett. A312, 263 (2003)] is equal to the largest intrinsic degree of coherence. In addition, when the light is a mixing of a coherent light that satisfies the factorization condition in the two spatial variables with a statistically uncorrelated, partially coherent, perfectly polarized light, but with a nonparallel polarization state, we show that the polarization modifications that maximize the modulus of the Wolf degree of coherence lead to a light that also satisfies the factorization condition.
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