Evaluation of errors in estimating the azimuth of powerful lightning discharges from measurements of Q-burstst

А. Shvets, O. Budanov, O. Koloskov, O. Nickolaenko, O. Shvets, Y. Yampolsky
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Abstract

In this work, we study the variability of errors in determining the azimuth of Q-bursts’ sources on a daily time scale. Qbursts are electromagnetic pulse radiation in the extremely low frequency (ELF) range, excited by powerful lightning discharges, and they are used to locate lightnings over the world. We estimated the errors from data collected for two horizontal orthogonal magnetic field components of Q-bursts. Experimental records of Q-bursts were made at Akademik Vernadsky station from March to April 2019, which covers the vernal equinox day. We determined the azimuth of a Q-bursts’ source by digital rotation of the coordinate system until the signal in one magnetic component would drop to its minimum value. The absolute value of the azimuth error was estimated from the ratio of the Q-burst’s amplitude to the standard deviation of the residual signal. With an automated processing procedure, we analyzed over 800 thousand Q-bursts with amplitude over 10 picotesla. A characteristic diurnal pattern has been discovered in the estimated azimuth errors variations. The night level of the azimuth error exceeded the day level by about two degrees on average. The decrease-rise-decrease И-shaped swing during transition from night to day and mirror-symmetric Nshaped swing during transition from day to night were identified. Each of those transitional swings takes about four hours. A comparison of the daily variations in the total intensity of ELF background noise with the estimated daily azimuth error diagrams demonstrates the opposite character: maximal level of the ELF background noise was observed during the daytime while the estimated azimuth errors take minimal values at this time. This contradicts the generally accepted notion that increasing the noise increases the error. Thus, we suppose that the residual magnetic component in a Q-burst occurs not only from the background noise but can also result from nonlinear polarization of the incident wave due to gyrotropy of the nighttime lower ionosphere. Coherent waves resulting from diffraction of the incident field on the day-night interface in the Earth-ionosphere cavity could explain the И- and N-shaped swings of the azimuth error during the passage of the solar terminator.
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从q暴测量中估计强闪电放电方位角误差的评估
在这项工作中,我们研究了在每日时间尺度上确定q -爆发源方位角的误差的可变性。qburst是一种极低频(ELF)范围内的电磁脉冲辐射,由强大的闪电放电激发,用于定位世界各地的闪电。我们从收集到的两个水平正交磁场分量的数据中估计了误差。2019年3月至4月,即春分日,在维尔纳德斯基院士站进行了q暴的实验记录。我们通过坐标系统的数字旋转来确定q暴源的方位,直到一个磁分量中的信号下降到最小值。根据Q-burst的振幅与残差信号的标准差之比估计方位误差的绝对值。通过自动处理程序,我们分析了超过80万个振幅超过10皮特斯拉的q -爆发。在估计的方位角误差变化中发现了一种特殊的日模式。方位角误差的夜间水平比白天水平平均高出2度左右。确定了从黑夜到白天过渡时的下降-上升-减少И-shaped摆动和从白天到黑夜过渡时的镜像对称n形摆动。每一次的过渡摆动大约需要4个小时。极低频背景噪声总强度的日变化与估计的日方位角误差图的比较显示出相反的特征:极低频背景噪声在白天达到最大水平,而估计的方位角误差在白天达到最小值。这与普遍接受的增大噪声会增大误差的观念相矛盾。因此,我们假设q暴中的残余磁分量不仅来自背景噪声,还可能是由于夜间较低电离层的回旋性引起的入射波的非线性极化造成的。入射场在地球-电离层空腔的昼夜界面上衍射产生的相干波可以解释在太阳终结点通过时方位误差的И-形和n形波动。
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