Title: PIMMS: Pulsation-Informed Magnetic Mapping of Stars with Zeeman-Doppler Imaging I. Formalism and numerical tests Show Chinese title

Title: PIMMS：利用塞曼-多普勒成像进行脉动信息的恒星磁场测绘 第I部分：理论框架与数值测试

Abstract: Context. Magneto-asteroseismology is a novel technique allowing for more precise determinations of internal properties of magnetic pulsating stars, but requires an accurate characterisation of the surface magnetic field, not previously possible with Zeeman-Doppler Imaging (ZDI) due to the time-dependent surface velocity of pulsating stars. Aims. We aim to develop a new version of ZDI, which creates an additional surface velocity map, that includes the time-dependent velocities of surface elements due to pulsations. Methods. We present a new code, PIMMS: Pulsation-Informed Magnetic Mapping of Stars, which uses a surface-integrated line profile model that accounts for the additional Doppler shifts of local lines caused by pulsations. It is then possible to fit this model to spectropolarimetric observations, reconstructing maps of the surface brightness, magnetic field, and the velocity field due to the combination of pulsation and rotation. In this paper, we present and test PIMMS extensively, to understand its limitations and data requirements. Results. We find that PIMMS can accurately reproduce the magnetic fields and brightness distributions of realistic models of pulsating hot stars. The required number of observations is higher than that required for ZDI of a non-pulsating star due to the additional velocity map that must be disentangled from surface brightness variations. PIMMS is now ready to be applied to real stars. Show Chinese abstract

Abstract: 上下文。 磁星震学是一种新技术，允许更精确地确定磁性脉动恒星的内部特性，但由于脉动恒星的表面速度随时间变化，以前无法通过Zeeman-Doppler成像（ZDI）准确表征表面磁场。 目标。 我们旨在开发ZDI的新版本，该版本创建一个额外的表面速度图，包括由于脉动导致的表面元素的时间依赖速度。 方法。 我们提出了一种新代码PIMMS：恒星脉动信息磁性映射，该代码使用一个表面积分线轮廓模型，考虑了由于脉动引起的局部线的额外多普勒位移。 然后可以将此模型拟合到光谱偏振观测数据中，重建由脉动和旋转组合产生的表面亮度、磁场和速度场的图。 在本文中，我们对PIMMS进行了广泛测试，以了解其局限性和数据需求。 结果。 我们发现PIMMS可以准确再现脉动热星的真实模型的磁场和亮度分布。 由于必须从表面亮度变化中分离出额外的速度图，所需的观测次数比非脉动恒星的ZDI更高。 PIMMS现已准备好应用于真实恒星。