Effective SU(2) gadget: holonomic walk on higher-order Poincaré sphere

2025/11/10 by Mohammad Umar, Umar, Mohammad, Sarvesh Bansal +3
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Metamaterials and Metasurfaces Applications #Optics (physics.optics) #Orbital Angular Momentum in Optics #Quantum Mechanics and Non-Hermitian Physics

paper · doi:10.48550/arxiv.2511.07670

openalex publication_date 2025/11/10 · openalex created_date 2025/11/13 · openalex updated_date 2026/07/28

Abstract

-plates emerges as the decisive parameter governing systematic navigation on the higher-order Poincaré sphere. This study bears direct relevance to the deterministic control and engineering of structured light, encompassing polarization singularities, vector vortex beams, and topological optical fields.

Citations

• SU(2) gadget for higher-order Poincaré sphere
• Mathematics of effective q-plate in polarization optics
• Gadget to realize arbitrary polarization transformation on a higher order Poincaré sphere
• Holonomically constrained polarization transformation
• SU(2) polarization evolution on higher-order Poincaré sphere by using general q-plate
• Higher-order Poincaré Spheres and Spatio-Spectral Poincaré Beams
• Controlled generation of higher-order Poincare sphere beams from a laser

Related

• SU(2) gadget for higher-order Poincaré sphere
• Mathematics of effective q-plate in polarization optics
• SU(2) polarization evolution on higher-order Poincaré sphere by using general q-plate
• Gadget to realize arbitrary polarization transformation on a higher order Poincaré sphere
• Higher-order Poincaré Spheres and Spatio-Spectral Poincaré Beams