2025/09/13 by Mohammad Umar, Umar, Mohammad, P. Senthilkumaran +1 · 1 citation
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #FOS: Physical sciences #Interconnection Networks and Systems #Optics (physics.optics) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2509.10964
openalex publication_date 2025/09/13 · openalex created_date 2025/10/12 · openalex updated_date 2026/07/28
The combination of two quarter-wave plates and one half-wave plate, regardless of their sequential arrangement, constitutes a well-established universal SU(2) gadget capable of implementing all polarization transformations on the standard Poincaré sphere. However, there is no analogous system for realizing all polarization transformations on the higher-order Poincaré sphere, a member of a higher topological index space. This work demonstrates that an optical gadget, comprising two quarter-wave q-plates and one half-wave q-plate, arranged in any order, is an SU(2) gadget to realize arbitrary polarization evolution on the higher-order Poincaré sphere.