Exploiting hidden singularity on the surface of the Poincaré sphere
Harbin Institute of Technology · Colorado School of Mines · +1 more institution
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…
Citation impact
- FWCI
- 135.47
- Percentile
- 100%
- References
- 40
Authors
6Topics & keywords
- Singularity
- Surface (topology)
- Poincaré conjecture
- Physics
- Classical mechanics
- Geometry
- Mathematics
- Mathematical physics