ULF perturbations: modeling Earth-Atmosphere-Ionosphere coupling, signal processing using information entropy, determination of the electric and magnetic field components and “experiment-theory comparison“
Authors: Rapoport Yuriy , Reshetnyk Volodymyr , Grytsai Asen , Liashchuk Alex , Hayakawa Masashi , Grimalsky Volodymyr , Petrishchevskii Sergei , Krankowski Andrzej , Błaszkiewicz Leszek , Flisek Paweł , De Santis Angelo , Scotto Carlo 
Published: February 2023

We have used 2014&#8211;2017 data from the eight receiving stations of the Japan very low frequency (VLF) monitoring network. The nighttime data of the signals of the JJI transmitter on Kyushu Island, excited VLF electromagnetic waves (EMWs) in the Earth-Ionosphere waveguide (EIWG) had been processed. The wavelet transform with a preliminary detrending, to exclude influence of daily variations, has been applied. We have observed ultra-low frequency (ULF) modulation of VLF EMW spectra in the EIWG. We therefore concluded that modulating oscillations with periods of 4 minutes belong to the acoustic branch of acoustic-gravity waves (AGWs) in the Earth&#8211;Thermosphere waveguide; modulation of VLF with periods of 6&#8211;7 minutes corresponds to global evanescent/reactive Brunt&#8211;V&#228;is&#228;l&#228; AGW oscillations; the oscillations with periods 20&#8211;60 min and ~3 hours may characterize evanescent/reactive Lamb gravity wave mode of AGW [1]. The appearance of the combination frequency of VLF EMW and ULF AGW is likely due to the following effects: (1) the drag of charged plasma particles by ULF AGWs jointly with the background of VLF electron density disturbances and (2) the motion of charged plasma particles in the VLF EMW field jointly with the background of ULF changes in the plasma concentration caused by AGWs.The theory [2,3] is extended to the excitation of ionospheric Schumann resonator (SR) [4] and ionospheric Alfv&#233;n resonator (IAR) in the ULF range. It is shown that IAR oscillations with a high quality factor (for geophysical resonators) (>10) can be excited in the SR range. The features of the excited ULF and VLF modes associated with the modification of the ionosphere as a result of the powerful eruption of the Hunga-Tonga volcano are under consideration [5,6].A ULF model of perturbations in the atmosphere-ionosphere with a boundary transition from dynamic to static limit is developed and the preliminary results of the corresponding modelling will be presented. This ensures the "recovery" of magnetostatic disturbances "lost" in most of previous models of the atmospheric electrical circuit, important for understanding the mechanisms of seismo-ionospheric coupling, volcano-ionospheric coupling and influences of the other natural hazards on the ionosphere and ionospheric monitoring of the natural hazards.[1] Rapoport et al. Sensors 22, 10.3390/s22218191,&#160;2022; [2] Grimalsky et al. JEMAA 2012, 4, 192-198&#160;; [3] Yutsis V. et al. Atmosphere 2021, 12, 801&#160;; [4] Nickolaenko and Rabinovich Space Res. 1982, XX, 67-88&#160;; [5] Astafyeva et al. GRL, 2022&#160;; [6] D&#8217;Arcangelo et al., Rem. Sens., 14, 3649, 2022.This research was partially funded by the National Science Centre, Poland, grant No. 970 2022/01/3/ST10/00072