日冕磁场及密度非均匀性等参数在空间物理学中有关键价值，但其常规直接获取仍有待实现。“冕震学”工具是提供这些参数的主要间接手段，但波动模式属性的理论证认这一核心环节几乎全部沿袭轴对称磁管中集体波模的经典框架。紫外成像观测及“纳耀斑”等理论认识都显示活动区环及耀斑环都更适合以多磁管复合体系描述。本项目拟聚焦于日冕多磁管复合系统中集体波模这一研究对象，在理想磁流体力学框架下，综合利用本征模计算、多维线性时变数值模拟、及成像和光谱学正演手段，对非轴对称平衡位型中的集体波模进行统一而自洽的研究，构建集体波模的分类方案并探明集体模之可观测性，探索集体模周期和衰减率的取值范围对平衡态参数的依赖，评估反演日冕磁场强度及密度非均匀性时“多丝性”带来的不确定性；将探明高度非轴对称的耀斑环系能否支持周期类似于轴对称磁管中轴对称腊肠模的短时标集体模，检验“耀斑快变准周期脉动来自磁流体波动”这一主流认识的可靠性。

Coronal magnetic field and density inhomogeneity are key to answering a large variety of critical questions in space physics. Their routine measurements, however, remain difficult. Coronal seismology is among the primary toolkit for indirectly inferring these key parameters. Key to the seismological practice is the identification of some measured oscillatory behavior with a specific wave mode, which nonetheless is still primarily based on the classical theoretical framework developed for collective magnetohydrodynamic (MHD) waves in axisymmetric waveguides. On both theoretical and observational grounds, however, both active region loops and flare loops are in fact better described by composite systems comprising a multitude of fluxtubes. In the framework of ideal MHD, this project aims to examine collective waves in composite structures with a synergistic approach by combining eigenmode analyses, mutli-dimensional linear MHD simulations, and forward modeling. We will address, in a rather systematic and exhaustive manner, the dispersive properties of collective MHD waves in such a non-axially symmetric setup, come up with a classification scheme, and examine whether these waves are associated with detectable signatures. We will also elucidate how the wave periods and damping rates depend on the equilibrium parameters, thereby assessing the uncertainties brought forth by the multi-threaded-ness of coronal loops for the inferred magnetic field strength and density inhomogeneity. Furthermore, we will examine whether highly non-axially symmetric flare loop systems can support wave modes with periods similar to axisymmetric sausage modes in axially symmetric waveguides, and therefore address the reliability of the widely accepted idea that collective waves in flare loops are responsible for rapid quasi-periodic pulsations in solar flare lightcurves.