Based on observations of Van Allen Probe‐A during the period from 19 September 2012 to 28 February 2016, the relations of the fast magnetosonic (MS) wave amplitude B_w with kp index, the wave normal angle (WNA), and the wave normalized frequency (norF) are presented. Then, we establish an analytical regression model for MS wave amplitude as a function of geomagnetic storm activity (presented by kp index), L‐shell (L), magnetic local time (MLT), magnetic latitude (λ), and the characteristics of MS wave, that is, wave norF and WNA. From the analytical B_w models, we found MS wave amplitude B_w has a positive relation with the intensity of geomagnetic activities both inside and outside the plasmapause, while the B_w can reach higher values inside the plasmapause than it does outside the plasmapause as the kp index increases. The B_w distribution on the norF demonstrates that most of the wave energies are concentrated on the lower harmonics part, which results from the excitation mechanism of MS waves. In addition, the B_w distribution on the WNA shows that the waves with larger normal angles have higher values of wave amplitude. Our analytic MS wave model agrees with the observed distribution in 3‐D space of L, MLT, and λ well with high value of determine coefficient R². The extended λ dimension will help us to calculate the more accurate bounced averaged diffusion coefficients during particles transit time.

中文翻译：

---

基于Van Allen探针观测的解析快速电磁波模型

基于Van Allen Probe-A在2012年9月19日至2016年2月28日期间的观测结果，快速磁声（MS）波幅B _w与kp指数，波法向角（WNA）和归一化波之间的关系出现频率（norF）。然后，我们建立了MS波振幅作为地磁风暴活动（由kp指数表示），L壳（L），磁局部时间（MLT），磁纬度（λ）以及磁特征的函数的解析回归模型。 MS波，即norF和WNA波。从解析的B _w模型中，我们发现MS波振幅B _w与等离子暂停内部和外部的地磁活动强度呈正相关，而B _w可以在等离子暂停内部达到比等离子暂停外部更高的值。kp指数增加。的乙_瓦特上的分布NORF表明大部分的波能都集中在下部谐波部分，其从MS波的激励机制的结果。此外，WNA上的B _w分布表明法向角较大的波具有较高的波幅值。我们的解析MS波模型与L，MLT和λ在3-D空间中的观测分布非常吻合，确定系数R ^2的值较高。扩展的λ维将帮助我们计算粒子穿越时间中更准确的反弹平均扩散系数。