A unified SU(2) framework treats vector beam transformations as spatially varying polarization operations and gives an explicit construction for doubly inhomogeneous waveplates that implement exact mappings including global phase.
Lopez-Mago, On the overall polarisation properties of poincar´ e beams, Journal of Optics21, 115605 (2019)
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A Unified SU(2) Framework for Vector Beam Transformations and Complex Beam Shaping
A unified SU(2) framework treats vector beam transformations as spatially varying polarization operations and gives an explicit construction for doubly inhomogeneous waveplates that implement exact mappings including global phase.