Optimal Summary Statistics for X-ray Polarization
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910441091891200 |
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| author | Heyl, Jeremy González-Caniulef, Denis Caiazzo, Ilaria |
| author_facet | Heyl, Jeremy González-Caniulef, Denis Caiazzo, Ilaria |
| contents | We develop two new highly efficient estimators to measure the polarization (Stokes parameters) in experiments that constrain the position angle of individual photons such as scattering and gas-pixel-detector polarimeters, and analyse in detail a previously proposed estimator. All three of these estimators are at least fifty percent more efficient on typical datasets than the standard estimator used in the field. We present analytic estimates of the variance of these estimators and numerical experiments to verify these estimates. Two of the three estimators can be calculated quickly and directly through summations over the measurements of individual photons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_07805 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Optimal Summary Statistics for X-ray Polarization Heyl, Jeremy González-Caniulef, Denis Caiazzo, Ilaria Instrumentation and Methods for Astrophysics High Energy Astrophysical Phenomena We develop two new highly efficient estimators to measure the polarization (Stokes parameters) in experiments that constrain the position angle of individual photons such as scattering and gas-pixel-detector polarimeters, and analyse in detail a previously proposed estimator. All three of these estimators are at least fifty percent more efficient on typical datasets than the standard estimator used in the field. We present analytic estimates of the variance of these estimators and numerical experiments to verify these estimates. Two of the three estimators can be calculated quickly and directly through summations over the measurements of individual photons. |
| title | Optimal Summary Statistics for X-ray Polarization |
| topic | Instrumentation and Methods for Astrophysics High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2311.07805 |