Cross-compensation of Zernike aberrations in Gaussian optics
Zernike polynomials are one of the most widely used mathematical descriptors of optical aberrations in the fields of imaging and adaptive optics. Their mathematical orthogonality as well as isomorphisms with experimentally observable aberrations make them a very powerful tool in solving numerous pro...
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| Published in | arXiv.org |
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| Main Authors | , |
| Format | Paper Journal Article |
| Language | English |
| Published |
Ithaca
Cornell University Library, arXiv.org
10.02.2021
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| ISSN | 2331-8422 |
| DOI | 10.48550/arxiv.2102.05383 |
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| Abstract | Zernike polynomials are one of the most widely used mathematical descriptors of optical aberrations in the fields of imaging and adaptive optics. Their mathematical orthogonality as well as isomorphisms with experimentally observable aberrations make them a very powerful tool in solving numerous problems in beam optics. However, Zernike aberrations show cross-coupling between individual modes when used in combination with Gaussian beams, an effect that has not been extensively studied. Here we propose a novel framework that is capable of explaining the fundamental cross-compensation of Zernike type aberrations, both in low-aberration and high-aberration regimes. Our approach is based on analysing the coupling between Zernike modes and different classes of Laguerre-Gauss modes which allows investigating aberrated beams not only on a single plane but also during their 3D propagation. |
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| AbstractList | Zernike polynomials are one of the most widely used mathematical descriptors of optical aberrations in the fields of imaging and adaptive optics. Their mathematical orthogonality as well as isomorphisms with experimentally observable aberrations make them a very powerful tool in solving numerous problems in beam optics. However, Zernike aberrations show cross-coupling between individual modes when used in combination with Gaussian beams, an effect that has not been extensively studied. Here we propose a novel framework that is capable of explaining the fundamental cross-compensation of Zernike type aberrations, both in low-aberration and high-aberration regimes. Our approach is based on analysing the coupling between Zernike modes and different classes of Laguerre-Gauss modes which allows investigating aberrated beams not only on a single plane but also during their 3D propagation. Zernike polynomials are one of the most widely used mathematical descriptors of optical aberrations in the fields of imaging and adaptive optics. Their mathematical orthogonality as well as isomorphisms with experimentally observable aberrations make them a very powerful tool in solving numerous problems in beam optics. However, Zernike aberrations show cross-coupling between individual modes when used in combination with Gaussian beams, an effect that has not been extensively studied. Here we propose a novel framework that is capable of explaining the fundamental cross-compensation of Zernike type aberrations, both in low-aberration and high-aberration regimes. Our approach is based on analysing the coupling between Zernike modes and different classes of Laguerre-Gauss modes which allows investigating aberrated beams not only on a single plane but also during their 3D propagation. |
| Author | Prevedel, Robert Czuchnowski, Jakub |
| Author_xml | – sequence: 1 givenname: Jakub surname: Czuchnowski fullname: Czuchnowski, Jakub – sequence: 2 givenname: Robert surname: Prevedel fullname: Prevedel, Robert |
| BackLink | https://doi.org/10.48550/arXiv.2102.05383$$DView paper in arXiv https://doi.org/10.1364/OL.432098$$DView published paper (Access to full text may be restricted) |
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| Copyright | 2021. This work is published under http://creativecommons.org/licenses/by-nc-sa/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://creativecommons.org/licenses/by-nc-sa/4.0 |
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| DOI | 10.48550/arxiv.2102.05383 |
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| Snippet | Zernike polynomials are one of the most widely used mathematical descriptors of optical aberrations in the fields of imaging and adaptive optics. Their... Zernike polynomials are one of the most widely used mathematical descriptors of optical aberrations in the fields of imaging and adaptive optics. Their... |
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| SubjectTerms | Aberration Adaptive optics Compensation Cross coupling Gaussian beams (optics) Isomorphism Mathematical analysis Orthogonality Physics - Optics Zernike polynomials |
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| Title | Cross-compensation of Zernike aberrations in Gaussian optics |
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