Application of McCormick-Cohen Model for Computing ELF/VLF Atmospherics

A. Nickolaenko, M. Hayakawa, Y. Galuk, I. Kudintseva
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Abstract

. In a recent paper by McCormick and Cohen (2021), the new vertical profiles were discussed of electron density in the D/E region of ionosphere that accounts for the observations of VLF atmospherics (sferics). In the present paper, we use a typical profile from this paper and apply the classical profile of electron effective collision frequency for obtaining the conductivity of middle atmosphere. This air conductivity profile is compared then with those matching the Schumann resonance observations. By using this novel conductivity model, we compute the propagation parameters of ELF-VLF modes in the Earth–ionosphere cavity with the help of full-wave solution. An emphasis is made on the comparison of Schumann resonance spectra found for the existing and the novel profiles. The multi-mode full-wave solutions allowed us to compute the wide-band complex spectra of vertical electric and horizontal magnetic field components by using the classical modal expansions. Finally, the pulsed waveforms were calculated using the Fourier transform of complex ELF/VLF spectra, which belong to typical slow tail atmospherics (sferics). The conclusion is made that the profile by McCormick and Cohen underestimates the radio wave attenuation only at ELF, so that relevant data predicts somewhat higher peak frequencies and Q-factors of Schumann resonance.
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McCormick-Cohen模型在ELF/VLF大气计算中的应用
. 在McCormick和Cohen(2021)最近的一篇论文中,讨论了电离层D/E区电子密度的新垂直剖面,该剖面解释了VLF大气(谱线)的观测。在本文中,我们使用了本文的典型剖面,并应用电子有效碰撞频率的经典剖面来计算中大气的电导率。然后将该空气电导率剖面与与舒曼共振观测相匹配的空气电导率剖面进行比较。利用这一新的电导率模型,利用全波解计算了ELF-VLF模式在地球电离层腔中的传播参数。重点比较了现有和新剖面的舒曼共振谱。多模全波解允许我们用经典模态展开计算垂直电场和水平磁场分量的宽带复谱。最后,利用复ELF/VLF光谱的傅里叶变换计算了脉冲波形,它们属于典型的慢尾大气(sferics)。得出结论:McCormick和Cohen的剖面只低估了极低频下的无线电波衰减,因此相关数据预测舒曼共振的峰值频率和q因子有所提高。
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