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arXiv 2303.13699astro-ph.SR
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利用模式耦合对近表面太阳内部自转的微小修正

Minuscule corrections to near-surface solar internal rotation using mode-coupling

Srijan Bharati Das, Samarth G. Kashyap, Deniz Oktay, Shravan M. Hanasoge, Jeroen Tromp

AI总结:

本文通过特征值非线性反演计入高 ℓ f/p 模式耦合,评估其对近表面太阳较差自转的影响,发现修正小于0.003 nHz且与太阳周期相关。

摘要:

观测到的太阳振荡频谱受到内部扰动(如流动和结构非球性)的影响。这些特征会引起特征频率分裂,并使共振模式本征函数发生畸变。全球轴对称流动——较差自转——是一种非常显著的扰动。作为纬度和半径函数的自转剖面受到严格约束,它们是成熟日震学处理流程的产物;这些流程利用观测到的多普勒图高精度生成频率分裂测量。然而,利用频率分裂推断自转时并未考虑模式耦合效应。对于高角度度数模式,这一近似会变得更糟,因为它们在频率上变得越来越接近。由于高角度度数模式探测太阳的近表面层,考虑耦合模式的反演有可能在极接近表面处给出更准确的自转估计。为研究情况是否确实如此,我们对太阳较差自转进行反演,考虑了表面重力 f 支和第一泛音 p 模式中角度数在 160 ≤ ℓ ≤ 300 范围内的模式耦合。为符合模式耦合的特性,我们使用特征值求解器开展非线性反演。文中比较并讨论了由 MDI 和 HMI 的频率分裂测量所得反演剖面之间的差异。我们发现,在计入模式耦合效应后,对近表面较差自转剖面的修正小于 0.003 nHz,因此并不显著。这些微小修正被发现与太阳周期相关。我们还给出了对偶数阶分裂系数的修正,这些修正可能进而影响结构和磁场的反演。

英文摘要:

The observed solar oscillation spectrum is influenced by internal perturbations such as flows and structural asphericities. These features induce splitting of characteristic frequencies and distort the resonant-mode eigenfunctions. Global axisymmertric flow -- differential rotation -- is a very prominent perturbation. Tightly constrained rotation profiles as a function of latitude and radius are products of established helioseismic pipelines that use observed Dopplergrams to generate frequency-splitting measurements at high precision. However, the inference of rotation using frequency-splittings do not consider the effect of mode-coupling. This approximation worsens for high-angular-degree modes, as they become increasingly proximal in frequency. Since modes with high angular degrees probe the near-surface layers of the Sun, inversions considering coupled modes could potentially lead to more accurate estimates of rotation very close to the surface. In order to investigate if this is indeed the case, we perform inversions for solar differential rotation, considering coupling of modes for angular degrees $160 \leq \ell \leq 300$ in the surface gravity $f$-branch and first-overtone $p$ modes. In keeping with the character of mode coupling, we carry out a non-linear inversion using an eigenvalue solver. Differences in inverted profiles for frequency splitting measurements from MDI and HMI are compared and discussed. We find that corrections to the near-surface differential rotation profile, when accounting for mode-coupling effects, are smaller than 0.003 nHz and hence are insignificant. These minuscule corrections are found to be correlated with the solar cycle. We also present corrections to even-order splitting coefficients, which could consequently impact inversions for structure and magnetic fields.

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