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arXiv 1409.4151astro-ph.IMastro-ph.CO
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旋光度和法拉第结构确定算法的比较I. 1100 - 1400兆赫

Comparison of algorithms for determination of rotation measure and Faraday structure I. 1100 - 1400 MHz

X. H. Sun, L. Rudnick, Takuya Akahori, C. S. Anderson, M. R. Bell, J. D. Bray, J. S. Farnes, S. Ideguchi, K. Kumazaki, T. O'Brien, S. P. O'Sullivan, A. M. M. Sc… 展开作者

X. H. Sun, L. Rudnick, Takuya Akahori, C. S. Anderson, M. R. Bell, J. D. Bray, J. S. Farnes, S. Ideguchi, K. Kumazaki, T. O'Brien, S. P. O'Sullivan, A. M. M. Scaife, R. Stepanov, J. Stil, K. Takahashi, R. J. van Weeren, M. Wolleben

摘要:

我们运行法拉第结构确定数据挑战以基准测试当前可用的算法,包括法拉第合成(在文献中以前称为RM合成)、小波、压缩采样和$QU$拟合。频率设置类似于POSSUM/GALFACTS,带宽为300 MHz,从1.1到1.4 GHz。我们定义了三个由基础科学激发的品质因数:a)由偏振强度加权的平均RM,RMwtd,b)两个法拉第分量的分离$Δϕ$和c)约化的卡方。基于当前信噪比约为32的测试数据,我们发现:(1)当只存在一个法拉第薄元件时,大多数方法都能达到预期的效果,偶尔会出现错误地发现两个元件的故障;(2)对于两种Faraday薄元件,QU-fitting程序的性能最好,RMwtd的误差接近理论值,但$Δϕ$的误差明显较高。当$Δϕ$低于或接近法拉第点扩散函数的宽度时,包括标准法拉第合成在内的所有其它方法经常仅识别一个分量;(3)由于窄带宽,目前实施的方法对于法拉第厚分量没有很好的工作;(四)存在两个法拉第分量的组合,其产生大范围的可接受的拟合,因此在导出的单个法拉第分量中存在大的不确定性。RM;在这些情况下,不同的RM导致相同的Q、U行为,因此没有方法可以恢复唯一的输入模型。

英文摘要:

(abridged) We run a Faraday structure determination data challenge to benchmark the currently available algorithms including Faraday synthesis (previously called RM synthesis in the literature), wavelet, compressive sampling and $QU$-fitting. The frequency set is similar to POSSUM/GALFACTS with a 300 MHz bandwidth from 1.1 to 1.4 GHz. We define three figures of merit motivated by the underlying science: a) an average RM weighted by polarized intensity, RMwtd, b) the separation $Δϕ$ of two Faraday components and c) the reduced chi-squared. Based on the current test data of signal to noise ratio of about 32, we find that: (1) When only one Faraday thin component is present, most methods perform as expected, with occasional failures where two components are incorrectly found; (2) For two Faraday thin components, QU-fitting routines perform the best, with errors close to the theoretical ones for RMwtd, but with significantly higher errors for $Δϕ$. All other methods including standard Faraday synthesis frequently identify only one component when $Δϕ$ is below or near the width of the Faraday point spread function; (3) No methods, as currently implemented, work well for Faraday thick components due to the narrow bandwidth; (4) There exist combinations of two Faraday components which produce a large range of acceptable fits and hence large uncertainties in the derived single RMs; in these cases, different RMs lead to the same Q, U behavior, so no method can recover a unique input model.

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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