Orthonormalization of phase-only basis functions
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913669258936320 |
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| author | Cox, Daniël W. S. Vellekoop, Ivo M. |
| author_facet | Cox, Daniël W. S. Vellekoop, Ivo M. |
| contents | Orthonormal bases serve as a powerful mathematical tool in theoretical and experimental optics. However, producing arbitrary optical fields in real-world experiments is limited by the hardware, which in many cases involves a phase-only spatial light modulator. Since most basis functions also have a varying amplitude component, they cannot be represented truthfully. We present a general method to construct an orthonormal phase-only basis, optionally possessing desirable properties like smoothness and symmetry. We demonstrate the practical benefit of our approach in a wavefront shaping experiment, achieving a factor 1.5 increase in performance over a non-orthonormal phase only basis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04565 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Orthonormalization of phase-only basis functions Cox, Daniël W. S. Vellekoop, Ivo M. Optics Orthonormal bases serve as a powerful mathematical tool in theoretical and experimental optics. However, producing arbitrary optical fields in real-world experiments is limited by the hardware, which in many cases involves a phase-only spatial light modulator. Since most basis functions also have a varying amplitude component, they cannot be represented truthfully. We present a general method to construct an orthonormal phase-only basis, optionally possessing desirable properties like smoothness and symmetry. We demonstrate the practical benefit of our approach in a wavefront shaping experiment, achieving a factor 1.5 increase in performance over a non-orthonormal phase only basis. |
| title | Orthonormalization of phase-only basis functions |
| topic | Optics |
| url | https://arxiv.org/abs/2409.04565 |