SU(2) gadget for higher-order Poincar\'{e} sphere
Optics
2025-09-16 v1
Abstract
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 Poincar\'{e} sphere. However, there is no analogous system for realizing all polarization transformations on the higher-order Poincar\'{e} sphere, a member of a higher topological index space. This work demonstrates that an optical gadget, comprising two quarter-wave -plates and one half-wave -plate, arranged in any order, is an SU(2) gadget to realize arbitrary polarization evolution on the higher-order Poincar\'{e} sphere.
Cite
@article{arxiv.2509.10964,
title = {SU(2) gadget for higher-order Poincar\'{e} sphere},
author = {Mohammad Umar and Paramasivam Senthilkumaran},
journal= {arXiv preprint arXiv:2509.10964},
year = {2025}
}
Comments
5 pages, 2 figures