Closure invariants for polarised radio interferometric observations: a graph theoretical approach
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914852736335872 |
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| author | Kumar, Vinay Nityananda, Rajaram Samuel, Joseph |
| author_facet | Kumar, Vinay Nityananda, Rajaram Samuel, Joseph |
| contents | Aperture synthesis observations with full polarisation have long been used to study the magnetic fields of synchrotron emitting sources. Recently proposed closure invariants give us a powerful method for extracting information from measured visibilities which are corrupted by antenna and polarisation dependent gains. In this paper, a formalism developed earlier for complete graphs (where all visibilities are available) is extended to incomplete graphs. The formalism provides a complete and independent set of closure invariants from the measured visibilities in a general situation where not all visibilities are available. We then show in a simulated, quasi-realistic case that the invariants developed here contain usable information even in the presence of noise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00583 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Closure invariants for polarised radio interferometric observations: a graph theoretical approach Kumar, Vinay Nityananda, Rajaram Samuel, Joseph Instrumentation and Methods for Astrophysics Aperture synthesis observations with full polarisation have long been used to study the magnetic fields of synchrotron emitting sources. Recently proposed closure invariants give us a powerful method for extracting information from measured visibilities which are corrupted by antenna and polarisation dependent gains. In this paper, a formalism developed earlier for complete graphs (where all visibilities are available) is extended to incomplete graphs. The formalism provides a complete and independent set of closure invariants from the measured visibilities in a general situation where not all visibilities are available. We then show in a simulated, quasi-realistic case that the invariants developed here contain usable information even in the presence of noise. |
| title | Closure invariants for polarised radio interferometric observations: a graph theoretical approach |
| topic | Instrumentation and Methods for Astrophysics |
| url | https://arxiv.org/abs/2407.00583 |