稀疏法拉第旋转测度综合
Sparse Faraday Rotation Measure Synthesis
摘要：
法拉第旋转测量综合是一种分析多通道极化射电发射的方法，它已成为研究银河系和河外磁场的重要工具。该方法需要从受限于有限波长范围的测量中恢复法拉第色散函数，这是一个病态的反卷积问题。在这里，我们讨论了一种恢复方法，它假设一个稀疏近似的法拉第色散函数在一个过完备的字典的功能。我们讨论的一般情况下，薄和厚的组件都包括在模型中，我们提出了一个贪婪的反卷积算法的实现。我们用几个数值模拟来说明该方法，强调法拉第深度空间中的覆盖范围和采样分辨率的影响，以及噪声对观测数据的影响。
英文摘要：
Faraday rotation measure synthesis is a method for analyzing multichannel polarized radio emissions, and it has emerged as an important tool in the study of galactic and extra-galactic magnetic fields. The method requires the recovery of the Faraday dispersion function from measurements restricted to limited wavelength ranges, which is an ill-conditioned deconvolution problem. Here, we discuss a recovery method, which assumes a sparse approximation of the Faraday dispersion function in an over-complete dictionary of functions. We discuss the general case, when both thin and thick components are included in the model, and we present the implementation of a greedy deconvolution algorithm. We illustrate the method with several numerical simulations that emphasize the effect of the covered range and sampling resolution in the Faraday depth space, and the effect of noise on the observed data.
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