电离层TEC，均值插值法，球谐函数模型
Empirical Model of Polar Ionospheric TEC Based on Spherical Harmonic Function
摘要: 本文参照极区电离层TEC的UT变化特征，统计分析了极区网格划分方法。引入网格均值插值方法，结合球谐函数理论，构建了基于球谐函数的极区电离层TEC经验模型，降低了拟合出现负值的情况。通过拟合太阳活动低年2007~2010年的极区电离层TEC观测数据，表明极区平均电离层TEC值随UT呈“波浪”式变化。通过广义三角级数函数模型与球谐函数模型的对比，发现后者对极区电离层TEC建模具有更好的适用性。
Abstract: Based on the characteristics of ionospheric TEC UT variation in polar region, the grid division of polar region is analyzed statistically. An empirical model of ionospheric TEC in polar region is proposed by introducing grid mean interpolation method to improve the spherical harmonic function. By fitting the ionospheric TEC data of low solar activity years from 2007 to 2010 using the improved the spherical harmonic function model, it is shown that the average ionospheric TEC value of the polar region changes with UT in a “wave” pattern. The improved spherical harmonic function model is also compared with the generalized trigonometric series function model. This is better applicability for the spherical harmonic function model to the polar ionospheric TEC modeling.
文章引用：王斌杰, 陈鹏蕾, 王美. 电离层TEC，均值插值法，球谐函数模型[J]. 应用数学进展, 2022, 11(4): 2039-2047. https://doi.org/10.12677/AAM.2022.114221

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