Optimal Summary Statistics for X-ray Polarization
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 esti...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Maynooth Academic Publishing
2024-05-01
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| Series: | The Open Journal of Astrophysics |
| Online Access: | https://doi.org/10.33232/001c.117476 |
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| _version_ | 1850284352408125440 |
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| author | Jeremy Heyl Denis González-Caniulef Ilaria Caiazzo |
| author_facet | Jeremy Heyl Denis González-Caniulef Ilaria Caiazzo |
| author_sort | Jeremy Heyl |
| collection | DOAJ |
| description | 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 | Article |
| id | doaj-art-1958eff20e544aee879c5212bfaa4abd |
| institution | OA Journals |
| issn | 2565-6120 |
| language | English |
| publishDate | 2024-05-01 |
| publisher | Maynooth Academic Publishing |
| record_format | Article |
| series | The Open Journal of Astrophysics |
| spelling | doaj-art-1958eff20e544aee879c5212bfaa4abd2025-08-20T01:47:36ZengMaynooth Academic PublishingThe Open Journal of Astrophysics2565-61202024-05-01710.33232/001c.117476Optimal Summary Statistics for X-ray PolarizationJeremy HeylDenis González-CaniulefIlaria CaiazzoWe 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.https://doi.org/10.33232/001c.117476 |
| spellingShingle | Jeremy Heyl Denis González-Caniulef Ilaria Caiazzo Optimal Summary Statistics for X-ray Polarization The Open Journal of Astrophysics |
| title | Optimal Summary Statistics for X-ray Polarization |
| title_full | Optimal Summary Statistics for X-ray Polarization |
| title_fullStr | Optimal Summary Statistics for X-ray Polarization |
| title_full_unstemmed | Optimal Summary Statistics for X-ray Polarization |
| title_short | Optimal Summary Statistics for X-ray Polarization |
| title_sort | optimal summary statistics for x ray polarization |
| url | https://doi.org/10.33232/001c.117476 |
| work_keys_str_mv | AT jeremyheyl optimalsummarystatisticsforxraypolarization AT denisgonzalezcaniulef optimalsummarystatisticsforxraypolarization AT ilariacaiazzo optimalsummarystatisticsforxraypolarization |