articleNature CommunicationsJul 1, 2025GOLD OA

Exploiting hidden singularity on the surface of the Poincaré sphere

Harbin Institute of Technology · Colorado School of Mines · +1 more institution

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Abstract

The classical Pancharatnam-Berry phase, a variant of the geometric phase, arises purely from the modulation of the polarization state of a light beam. Due to its dependence on polarization changes, it cannot be effectively utilized for wavefront shaping in systems that require maintaining a constant (co-polarized) polarization state. Here, we present a novel topologically protected phase modulation mechanism capable of achieving anti-symmetric full 2π phase shifts with near-unity efficiency for two orthogonal co-polarized channels. Compatible with -but distinct from- the dynamic phase, this approach exploits phase circulation around a hidden singularity on the surface of the Poincaré sphere. We validate this…

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Authors

6

Topics & keywords

Keywords
  • Singularity
  • Surface (topology)
  • Poincaré conjecture
  • Physics
  • Classical mechanics
  • Geometry
  • Mathematics
  • Mathematical physics
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