A SART-Based Iterative Inversion Methodology to Infer the Solar Rotation Rate from Global Helioseismic Data

IF 2.7 3区 物理与天体物理 Q2 ASTRONOMY & ASTROPHYSICS
Sylvain G. Korzennik, Antonio Eff-Darwich
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Abstract

We present a new iterative rotation inversion technique based on the Simultaneous Algebraic Reconstruction Technique developed for image reconstruction. We describe in detail our algorithmic implementation and compare it to the classical inversion techniques like the Regularized Least Squares (RLS) and the Optimally Localized Averages (OLA) methods. In our implementation, we are able to estimate the formal uncertainty on the inferred solution using standard error propagation, and derive the averaging kernels without recourse to any Monte-Carlo simulation. We present the potential of this new technique using simulated rotational frequency splittings. We use noiseless sets that cover the range of observed modes and associate to these artificial splittings observational uncertainties. We also add random noise to present the noise magnification immunity of the method. Since the technique is iterative we also show its potential when using an a priori solution. With the correct regularization, this new method can outperform our RLS implementation in precision, scope, and resolution. Since it results in very different averaging kernels where the solution is poorly constrained, this technique infers different values. Adding such a technique to our compendium of inversion methods will allow us to improve the robustness of our inferences when inverting real observations and better understand where they might be biased and/or unreliable, as we push our techniques to maximize the diagnostic potential of our observations.

Abstract Image

Abstract Image

从全球太阳地震数据推断太阳自转率的基于 SART 的迭代反演方法
我们基于为图像重建而开发的同步代数重建技术,提出了一种新的迭代旋转反演技术。我们详细介绍了我们的算法实现,并将其与正则最小二乘法(RLS)和优化局部平均法(OLA)等经典反演技术进行了比较。在我们的实现过程中,我们能够利用标准误差传播估算出推断解的形式不确定性,并在不求助于任何蒙特卡罗模拟的情况下推导出平均核。我们利用模拟旋转频率分裂来展示这一新技术的潜力。我们使用涵盖观测模式范围的无噪声集,并将观测不确定性与这些人工分裂联系起来。我们还添加了随机噪声,以展示该方法的噪声放大免疫能力。由于该技术是迭代式的,我们还展示了它在使用先验解时的潜力。通过正确的正则化,这种新方法在精度、范围和分辨率上都优于我们的 RLS 实现。由于在求解约束较差的情况下,平均核的结果会截然不同,因此这种技术会推导出不同的值。将这种技术添加到我们的反演方法汇编中,将使我们在反演实际观测数据时提高推论的稳健性,并更好地了解它们在哪些方面可能存在偏差和/或不可靠,同时推动我们的技术最大限度地发挥观测数据的诊断潜力。
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来源期刊
Solar Physics
Solar Physics 地学天文-天文与天体物理
CiteScore
5.10
自引率
17.90%
发文量
146
审稿时长
1 months
期刊介绍: Solar Physics was founded in 1967 and is the principal journal for the publication of the results of fundamental research on the Sun. The journal treats all aspects of solar physics, ranging from the internal structure of the Sun and its evolution to the outer corona and solar wind in interplanetary space. Papers on solar-terrestrial physics and on stellar research are also published when their results have a direct bearing on our understanding of the Sun.
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