SU(2) gadget for higher-order Poincaré sphere
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908538098417664 |
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| author | Umar, Mohammad Senthilkumaran, Paramasivam |
| author_facet | Umar, Mohammad Senthilkumaran, Paramasivam |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10964 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | SU(2) gadget for higher-order Poincaré sphere Umar, Mohammad Senthilkumaran, Paramasivam Optics 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. |
| title | SU(2) gadget for higher-order Poincaré sphere |
| topic | Optics |
| url | https://arxiv.org/abs/2509.10964 |