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arXiv 2504.02483astro-ph.IMastro-ph.CO
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对远离目标场的波束建模误差进行稳健的方向依赖增益校准

Robust direction-dependent gain-calibration of beam-modelling errors far from the target field

S. A. Brackenhoff, A. R. Offringa, M. Mevius, L. V. E. Koopmans, J. K. Chege, E. Ceccotti, C. Höfer, L. Gao, S. Ghosh, F. G. Mertens, S. Munshi

AI总结:

针对低频相控阵中远离波束中心的亮源导致方向依赖增益校准精度不足的问题,本文提出一种按台站对天空模型预期响应加权正则化强度的改进校准方法,并在 LOFAR-HBA 数据上验证其在波束零点附近及短基线场景下优于标准方法。

摘要:

许多天文问题需要在低频射电波段进行深度、宽视场观测。像 LOFAR 和 SKA-low 这样的相控阵正是为此设计的,但其阵元增益本质上不稳定,会导致随时间、频率和方向变化的增益误差。因此,对观测进行精确的方向依赖校准是达到尽可能高动态范围的关键。许多方向依赖校准工具利用天空模型和波束模型来推断增益。然而,这些校准工具在对远离波束中心、相对较亮(例如 A-team)的源进行精确校准时存在困难。因此,这些源的点扩散函数可能会掩盖感兴趣的微弱信号。我们展示并解释了为什么每个台站增益解平滑的假设在实际射电干涉仪中不成立,以及这如何影响增益校准结果。随后,我们针对方向依赖增益校准算法引入了一种改进的平滑频谱增益约束方法,其中正则化强度根据台站对天空模型的预期响应进行加权。我们使用方向依赖校准方法 DDECal 以及基于物理动机的 LOFAR-HBA 台站波束建模误差对该方法进行了测试。在波束零点附近的各种校准设置下,新方法优于标准方法,并且在其余数据上的性能与标准逆方差加权方法相当。所提出的方法在可见度空间和图像空间中对短基线尤其有效。改进的方向依赖增益校准对于未来高精度 SKA-low 观测至关重要,因为更高的灵敏度、更复杂的天线波束以及互耦效应要求更好的离轴源扣除,而仅靠改进波束模型可能无法实现这一点。

英文摘要:

Many astronomical questions require deep, wide-field observations at low radio frequencies. Phased arrays like LOFAR and SKA-low are designed for this, but have inherently unstable element gains, leading to time, frequency and direction-dependent gain errors. Precise direction-dependent calibration of observations is therefore key to reaching the highest possible dynamic range. Many tools for direction-dependent calibration utilise sky and beam models to infer gains. However, these calibration tools struggle with precision calibration for relatively bright (e.g. A-team) sources far from the beam centre. Therefore, the point-spread-function of these sources can potentially obscure a faint signal of interest. We show that, and why, the assumption of a smooth gain solution per station fails for realistic radio interferometers, and how this affects gain-calibration results. Subsequently, we introduce an improvement for smooth spectral gain constraints for direction-dependent gain-calibration algorithms, in which the level of regularisation is weighted by the expected station response to the sky model. We test this method using direction-dependent calibration method DDECal and physically-motivated beam modelling errors for LOFAR-HBA stations. The new method outperforms the standard method for various calibration settings near nulls in the beam, and matches the standard inverse-variance-weighted method's performance for the remainder of the data. The proposed method is especially effective for short baselines, both in visibility and image space. Improved direction-dependent gain-calibration is critical for future high-precision SKA-low observations, where higher sensitivity, increased antenna beam complexity, and mutual coupling call for better off-axis source subtraction, which may not be achieved through improved beam models alone.

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