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| Format: | Preprint |
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2025
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| Online-Zugang: | https://arxiv.org/abs/2505.00597 |
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| _version_ | 1866918006034006016 |
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| author | Hyde IV, Milo W. Mitchell, Eric W. Spencer, Mark F. |
| author_facet | Hyde IV, Milo W. Mitchell, Eric W. Spencer, Mark F. |
| contents | In adaptive optics, the tracker and wavefront sensor commonly measure irradiance centroids (in their respective focal planes) to estimate the turbulence-degraded wavefront in the pupil plane. Several factors affect the accuracy of these centroid measurements, including noise, speckle, and scintillation. The centroid-tilt or ``C-tilt'' errors due to these factors have been studied by numerous researchers; however, to our knowledge, closed-form expressions for the C-tilt error due to scintillation have not been found.
In this paper, we derive such expressions, assuming spherical-wave illumination of the pupil, a path-invariant index of refraction structure constant $C_n^2$, and Kolmogorov turbulence. We compare the analytically predicted C-tilt values to those obtained by wave-optics simulations. The agreement, at large, is quite good over a wide range of conditions. As a result, researchers and engineers will find this analysis useful when quantifying the performance of centroid-based trackers and wavefront sensors, both of which are critical adaptive-optics components. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00597 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Closed-form expressions for the centroid-tilt error due to scintillation Hyde IV, Milo W. Mitchell, Eric W. Spencer, Mark F. Optics In adaptive optics, the tracker and wavefront sensor commonly measure irradiance centroids (in their respective focal planes) to estimate the turbulence-degraded wavefront in the pupil plane. Several factors affect the accuracy of these centroid measurements, including noise, speckle, and scintillation. The centroid-tilt or ``C-tilt'' errors due to these factors have been studied by numerous researchers; however, to our knowledge, closed-form expressions for the C-tilt error due to scintillation have not been found. In this paper, we derive such expressions, assuming spherical-wave illumination of the pupil, a path-invariant index of refraction structure constant $C_n^2$, and Kolmogorov turbulence. We compare the analytically predicted C-tilt values to those obtained by wave-optics simulations. The agreement, at large, is quite good over a wide range of conditions. As a result, researchers and engineers will find this analysis useful when quantifying the performance of centroid-based trackers and wavefront sensors, both of which are critical adaptive-optics components. |
| title | Closed-form expressions for the centroid-tilt error due to scintillation |
| topic | Optics |
| url | https://arxiv.org/abs/2505.00597 |