Introduction

Natural hazards caused by severe phenomena of geophysical, hydrological, and meteorological origins negatively impact human activity or the environment. Many people all over the world are threatened by natural hazards every year. Although some natural hazards (typhoons, tornadoes, and floods) can be predicted in near real-time, most geophysical natural hazards, such as earthquakes, volcanic eruptions, and tsunamis, are challenging to forecast. Therefore, we need to rapidly and timely detect the signals of natural geophysical hazards to reduce human loss. Among these geophysical hazards, we experienced the Hunga Tonga–Hunga Ha’apai (HTHH) undersea volcano's explosive eruption at 04:15 UT on 15 January 2022. This eruption is one of the most explosive events in the modern era and generated global atmospheric and ionospheric disturbances in a broad atmospheric region from the troposphere to the ionosphere (Wright et al. 2022) in addition to a tsunami in the Pacific Ocean associated with an air pressure wave (Kubota et al. 2022). The HTHH volcanic eruption provides a unique opportunity to promote interdisciplinary studies of coupling processes in lithosphere–atmosphere–ionosphere to reduce disaster risks.

Astafyeva (2019) has reviewed the detection of ionospheric signals associated with earthquakes, tsunamis, and volcanic eruptions and discussed future perspectives for applications of ionospheric observations to detect natural hazards. This paper reviews the studies of atmospheric and ionospheric disturbances observed after the HTHH volcanic eruption, shows some new insights to the understandings of the phenomena by adding new datasets, and summarizes what we know from existing analyses of this severe event. In this section, we describe several basic concepts of the ionosphere and atmospheric waves for understanding atmospheric and ionospheric disturbances caused by the HTHH volcanic eruption.

Basic features of the Earth’s ionosphere

The ionosphere is formed by partial ionization of the upper atmosphere above 60 km altitude due to solar extreme ultraviolet (EUV) radiation and energetic particle precipitation from interplanetary space and the magnetosphere. Percentage of charged particles to neutral atmospheric molecules/atoms increases with altitude. Nevertheless, because the mass of the ionosphere is 1012–1013 times smaller than that of the neutral atmosphere, charged particles in the ionosphere are regarded as a minority component in the upper atmosphere (Astafyeva 2019).

The plasma density distribution in the ionosphere depends strongly on latitude, longitude, altitude, and local time. Based on the height profile of electron density, the ionosphere is classified into several ionospheric regions: D (60–90 km), E (90–150 km), and F (150–1000 km). The height of the maximum electron density is typically located at an altitude of ~ 250–400 km. Such the electron density profile is determined by the ionization of neutral particles, their recombination processes, dynamics, and electrodynamics in the upper atmosphere and ionosphere. Further, the ionosphere highly varies through solar/geomagnetic activities and upward propagating atmospheric waves originating from lower atmospheric disturbances (Hargreaves 1992; Kelley 2009).

Because the ions in the E region frequently collide with the neutral upper atmosphere, this process causes electric current in the ionosphere and a dynamo electric field through momentum transfer by ion-neutral collisions (e.g., Maeda and Kato 1966; Richmond 1979). The dynamo electric field is transmitted along magnetic field lines to the F region of the ionosphere and causes the plasma density perturbations driven by \(\mathbf{E}\times \mathbf{B}\) drift of ionospheric plasma (e.g., Yamazaki and Maute 2017; Shinbori et al. 2022). The spatial inhomogeneity of ionospheric conductivity due to the plasma density perturbations creates a polarization electric field to keep the current continuity. Oscillations of the neutral atmosphere or polarization electric fields can generate traveling ionospheric disturbances (TIDs). Some of the TIDs can subsequently initiate equatorial plasma bubbles (EPBs).

Basic properties of atmospheric acoustic and gravity waves

Transient perturbations near the Earth’s surface associated with earthquakes, Rayleigh waves, volcanic eruption, nuclear explosions, rocket launches, tsunamis, and severe tropospheric events (tropical storms, typhoons, and hurricanes) become a seed of acoustic and gravity waves propagating to the upper atmosphere (e.g., Afraimovich et al. 2001; Afraimovich et al. 2013; Artru et al. 2004; Blanc 1985; Calais et al. 1998; Calais and Minster 1998; Chou et al. 2017; Dautermann et al. 2009a, b; Fritts and Alexander 2003; Heki and ** 2005; Hines 1960; Nishioka et al. 2013; Occhipinti et al. 2013; Pokhotelov et al. 1995; Rolland et al. 2010). Because the atmospheric density exponentially decreases with increasing altitude, the amplitude of both acoustic and gravity waves grows as they propagate upward according to the energy conservation law (Hines 1960). However, a reduction in the wave amplitude also occurs due to the dissipation of the wave energy associated with molecular viscosity and thermal conductivity in the thermosphere (Hines 1960). Therefore, the dam** rate becomes more significant with a decreased atmospheric density. Thus, the amplitude reaches the maximum value at an altitude of ~ 200–300 km for waves with a period of several tens of minutes (Blanc et al. 2010).

The acoustic waves exist above the acoustic cutoff frequency (\({\omega }_{a}\ge\) 3.3 mHz) and lead to pressure change due to compression and rarefaction of the atmosphere (Hargreaves 1992). The wave propagation speed equals the sound speed of ~ 330 m/s on the ground and increases to 800 m/s in the thermosphere at a 250–300 km altitude. Therefore, it takes 8–9 min for the acoustic waves to reach the ionosphere. On the other hand, gravity waves with longer wavelengths displace parcels of atmospheric mass according to the balance between the force of gravity and buoyancy (Fritts and Alexander 2003; Hargreaves 1992). The gravity waves exist below the Brunt-Väisälä frequency (\({\omega }_{ag}\le {\omega }_{b}\cong 2.9\) mHz in the troposphere). They cannot propagate vertically but in the oblique direction with a much slower sound speed. The direction of the group velocity is perpendicular to that of the phase velocity in the vertical direction (Hines 1960; Huang et al. 2019). Because of the slow speed, the travel time of gravity waves with a period of 10–15 min and horizontal phase velocity of 200–310 m/s from the ground to the ionosphere is estimated as 45–60 min (Astafyeva 2019).

When the atmospheric acoustic and gravity waves reach the ionosphere, the ionospheric plasma density fluctuates through dynamical and photochemical processes associated with the neutral atmospheric oscillations of these waves. In the region above 250 km, the atmospheric waves dominantly interact with ionospheric plasmas through momentum transfer by collisions of neutral particles with ions. Because the charged particles can move along the magnetic field line at the same velocity as ions, the velocity \({V}_{i}\) can be written as \({V}_{i}={V}_{n}{\mathrm{cos}}\theta\), where \({V}_{n}\) is the neutral particle velocity and \(\theta\) is the angle between the magnetic field line and direction of the neutral particle oscillation. Figure 1 summarizes schematically the characteristics of upward propagating atmospheric acoustic and gravity waves associated with a volcanic eruption.

Fig. 1
figure 1

Schematic view of generation of atmospheric and ionospheric disturbances associated with a volcanic eruption. After the onset of a volcanic eruption, acoustic and gravity waves are generated by local pressure and density variations. The amplitude grows with increasing altitude. The acoustic waves propagating at the sound velocity (Va) arrive in the ionosphere within ~ 8–9 min after the onset of a volcanic eruption. Because the propagation velocity of the gravity waves is much slower than that of the acoustic waves, the gravity waves reach the ionosphere within ~ 45–60 min after the eruption

An overview of the HTHH volcanic eruption and related phenomena

The HTHH volcano is located at 20.536° S, 175.382° W in the southwest Pacific Ocean and is one of the undersea volcanos rising from the seafloor to the sea surface. Remnant of the northern and western outer edges of the volcanic caldera form two islands each with a length of 2 km. The northern and western islands are named Hunga Tonga and Hunga Ha'apai. The HTHH volcano has been active since an underwater explosion south of Hunga Tonga occurred in 1912. All recorded eruptions were along the rim of the underwater caldera (Fig. 2). During an explosive eruption from December 2014 to January 2015, a tuff cone appeared over the sea level, connecting the Hunga Ha’apai and Hunga Tonga islands (Garvin et al. 2018). The new island existed over the sea surface until a large eruption destroyed it, leaving only the two small islands. On 15 January 2022, the HTHH volcano erupted with two main explosions that released an enormous amount of energy into the atmosphere. Different types of atmospheric and ionospheric disturbances after the eruption were globally observed with other techniques. Due to the extensive feature, many researchers in various fields have studied this event.

Fig. 2
figure 2

Two-dimensional map of the summit platform of the submerged HTHH volcanic edifice. The color bar of the upper left side shows the depth of the sea surface in a unit of meters. The dashed black line indicates a previously undocumented caldera existing 150 to 180 m below the sea surface. The close-up view of the bottom left side represents the detailed locations of the 1988 eruptions (Cronin et al. 2017)

The unique and explosive eruption of the HTHH volcano eruption on 15 January 2022 provided us with a few important aspects: the exact onset time of the eruption, the energy release into the lithosphere and atmosphere, the time evolution of the ash plume, global atmospheric oscillations, and the tsunami caused by this eruption. According to the United States Geological Survey (USGS) earthquake catalog, this event has been recorded as an earthquake with magnitude scale 5.8 that occurred at 04:14:45 UT. The equivalent energy released in the lithosphere was inferred between 4 and 18 Megaton of trinitrotoluene (TNT) (Garvin et al. 2022), while that in the atmosphere and ionosphere was estimated as 50 Megaton (Campbell-Brown et al. 2022), more than 58 Megaton (Kulichkov et al. 2022) and 9–37 Megaton (Astafyeva et al. 2022). The volcanic explosivity index (VEI) value is estimated at 5 (Zhao et al. 2022). The ash plume reached ~ 55 km in the mesosphere and 600 km in diameter, captured by satellite images (National Aeronautics and Space Administration (NASA) 2022). This eruption generated atmospheric waves (e.g., Lamb waves, acoustic waves, and gravity waves), ionospheric disturbances, geomagnetic field variations, tsunamis, and seismic waves observed all over the world (e.g., Aa et al. 2022a; Aryal et al. 2023; Astafyeva et al. 2022; Boyde et al. 2022; Carr et al. 2022; Carter et al. 2023; Chen et al. 2022, 2022) interpreted that the TIDs are driven by electromagnetic coupling through the magnetic field lines in both hemispheres. This finding implies that the atmospheric disturbances triggered by the HTHH volcanic eruption could generate the TIDs with magnetic conjugacy even in the daytime, which had not been previously reported in the literature. To investigate the magnetic conjugate feature of the TIDs, Shinbori et al. (2022) compared the global GNSS-TEC data with the ionospheric plasma flow data obtained from the super dual auroral radar network (SuperDARN) Hokkaido pair of radars (Nishitani et al. 2019). As a result, Shinbori et al. (2022) found the plasma flow perturbations in the F-region corresponding to the TEC perturbations with a magnetic conjugate feature. However, they did not show whether or not an analogous magnetic conjugate feature can be seen in the plasma flow and detrended TEC data when the air pressure wave passed through the field-of-view (FOV) of the SuperDARN radar. For this reason, we investigate the relationship between the northward plasma flow in the northern hemisphere and detrended TEC in the southern hemisphere in addition to the results reported by Shinbori et al. (2022). Figure 6 shows a range-time plots of (a) northward plasma flow, (b) 15-min high-pass filtered northward plasma flow, (c) and (e) temperature deviation in the northern and southern hemispheres, respectively, and (d) detrended TEC in the southern hemisphere. In Fig. 6, the two distinct plasma flow perturbations with an amplitude of ~ 100 m/s were observed around 08:00 and 09:00 UT in the northern hemisphere, simultaneously with the onset of the TEC perturbations after the arrival of air pressure waves in the southern hemisphere (Shinbori et al. 2022). A similar feature of the plasma flow variations in the ionosphere was reported by Zhang et al. (2022a, 2022)