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arXiv 2203.01130astro-ph.IMastro-ph.CO
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仪器响应在21 cm EoR功率谱网格分析中的作用

The Role of the Instrumental Response in 21 cm EoR Power Spectrum Gridding Analyses

Nichole Barry, Aman Chokshi

摘要:

由无线电干涉仪测量的天空亮度的重建通常通过网格技术或空间傅立叶空间中的直方图来实现。对于再电离时代(EoR)21厘米功率谱测量,网格分辨率的极端水平,需要减少光谱污染,在其他作品中探索。然而,傅立叶空间扩展函数或核的形状的作用也对重构的功率谱有影响。我们将仪器Murchison宽场阵列(MWA)光束分解为一系列高斯光束,并模拟有限核范围和不同形状的网格化/去网格化的效果,以进行最佳制图分析。对于MWA,我们发现内核必须扩展到最大值的0.001- 0.0001%,以便使用前景避免来测量EoR。这一要求根据光束形状而变化,紧凑型内核对于类似的污染水平需要小得多的范围,代价是不太理想的误差。然而,无论核的形状如何,使用像素化去网格化结果的简单校准都不能恢复EoR,这是由于由像元分辨率引起的灾难性误差。包括具有宽视场光束的不透明视界也通过光束-视界相互作用引起显著的光谱污染,该相互作用在傅立叶空间中产生无限扩展的内核,这不能很好地表示。因此,我们的研究结果表明,简单的校准,通过degridded模型和最佳的制图极端宽场仪器是不可行的。

英文摘要:

Reconstruction of the sky brightness measured by radio interferometers is typically achieved through gridding techniques, or histograms in spatial Fourier space. For Epoch of Reionisation (EoR) 21 cm power spectrum measurements, extreme levels of gridding resolution are required to reduce spectral contamination, as explored in other works. However, the role of the shape of the Fourier space spreading function, or kernel, also has consequences in reconstructed power spectra. We decompose the instrumental Murchison Widefield Array (MWA) beam into a series of Gaussians and simulate the effects of finite kernel extents and differing shapes in gridding/degridding for optimal map making analyses. For the MWA, we find that the kernel must extend out to 0.001--0.0001% of the maximum value in order to measure the EoR using foreground avoidance. This requirement changes depending on beam shape, with compact kernels requiring far smaller extents for similar contamination levels at the cost of less-optimal errors. However, simple calibration using pixelated degridding results, regardless of shape of the kernel, cannot recover the EoR due to catastrophic errors caused by the pixel resolution. Including an opaque horizon with widefield beams also causes significant spectral contamination via a beam--horizon interaction that creates an infinitely extended kernel in Fourier space, which cannot be represented well. Thus, our results indicate that simple calibration via degridded models and optimal map making for extreme widefield instrumentation are not feasible.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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