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physics.optics2025

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

Mohammad Umar, Sarvesh Bansal, Paramasivam Senthilkumaran

In a manner commensurate to the SU(2) gadget for the Poincaré sphere, which involves a combination of two quarter-wave plates and one half-wave plate regardless of their sequentia…

physics.optics2025

SU(2) gadget for higher-order Poincaré sphere

Mohammad Umar, Paramasivam Senthilkumaran

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 imp…

physics.optics2025

Mathematics of effective -plate in polarization optics

Mohammad Umar, Paramasivam Senthilkumaran

The -plate is a spatially inhomogeneous SU(2) birefringent optical element that has garnered significant interest due to its ability to mediate the spin-orbit interaction of lig…

physics.optics2025

Holonomically constrained polarization transformation

Mohammad Umar, P. Senthilkumaran

In polarization optics, various topological constructs, namely Poincaré spheres of different orders, are used to represent uniform and structured polarization distributions. Simil…

physics.optics2025

SU(2) polarization evolution on higher-order Poincaré sphere by using general -plate

Mohammad Umar, P. Senthilkumaran

This paper investigates the rotational dynamics on the higher-order Poincaré sphere with the use of -plate by exploring three key aspects: the topological condition, the global…