Ionospheric responses to the 21 August 2017 solar eclipse by using data assimilation approach

Using the physics-based thermosphere-ionosphere model (NCAR-TIEGCM) with an ensemble Kalman filter, this study reports the first data assimilative analysis of the ionosphere responses to the solar eclipse on 21 August 2017. The system, using a 2-min assimilation cycle of data from ground-based GNSS observations, show dynamic variations of the equatorial ionization anomaly (EIA) due to the electrodynamic effects of the solar eclipse. Two major ionospheric responses are captured: (1) an early appearance of EIA at the westward boundary of moon shadow and (2) an enhanced EIA at lower latitudes and suppressed EIA at the higher latitudes. These eclipse-induced conjugate EIA variations are produced by an eastward electric field perturbation around the magnetic equator and a westward electric field perturbation at the higher latitudes.

The solar eclipse’s effect on variations in ionospheric electron density have been investigated and reported by numerous observational and modeling methodologies (e.g., Müller-Wodarg et al. 1998; Tsai and Liu 1999; Afraimovich et al. 2002; Sridharan et al. 2002; Tomás et al. 2007, 2008, 2009; Le et al. 2008, 2009; Choudhary et al. 2011; St.-Maurice et al. 2011; Adekoya et al. 2015; Panda et al. 2015; Huba and Drob 2017). The above studies showed the ionospheric electron density reductions and the F region altitude increases during the solar eclipses. Changes in the ionospheric electrodynamic processes during solar eclipse periods is one of the most important drivers of these ionospheric variations. This is because eclipse-induced electron density changes can modify ionospheric electric conductivity and electric field distribution (Rishbeth 1968). Variation of electric fields in the ionosphere will further affect vertical plasma (E × B) drifts and in turn strongly affect the morphology of ionospheric electron density as well as the development of the equatorial ionization anomaly (EIA) during the solar eclipses (Cheng et al. 1992; Tsai and Liu 1999; Sridharan et al. 2002; Tomás et al. 2007).

The total solar eclipse event, 21 August 2017, occurred with a path of totality over the central USA, providing a good opportunity to investigate its effects on the photochemical and electrodynamic processes of the ionosphere. Using the ionospheric total electron content (TEC) obtained from a dense network of Global Navigation Satellite Systems (GNSS) receivers over North America, ionospheric TEC structures, such as the large TEC depletion (Coster et al. 2017; Cherniak and Zakharenkova 2018), large-scale traveling ionospheric disturbances (TIDs) (Coster et al. 2017), eclipse-induced ionospheric bow waves and gravity wave-like structures of electron density (Zhang et al. 2017; Nayak and Yiğit 2018; Sun et al. 2018), and large-scale TEC enhancement after eclipse (Cherniak and Zakharenkova 2018) have been reported for the 2017 August eclipse. In this paper, a three-dimensional global assimilative system is used to investigate ionospheric variation and its mechanisms during the 2017 August solar eclipse. We primarily focus on two ionospheric responses to the 2017 August solar eclipse: (1) the change in the ionospheric electric field system and (2) the resulting perturbations of the conjugate EIAs.

The National Center for Atmospheric Research Thermosphere-Ionosphere-Electrodynamics General Circulation Model (NCAR-TIEGCM) with the high latitude forcing specified by the empirical high-latitude ion convention model (Heelis et al. 1982) is utilized as the physical model in this assimilative system. The input parameters, F_10.7 and Kp indices, in TIEGCM are specified by realistic values that change over time. An ensemble Kalman filter (EnKF)-based community software assimilation system called the Data Assimilation Research Testbed (DART) (Anderson et al. 2009) is employed to combine the TIEGCM and observations (c.f. Chen et al. 2016a). Note that, in this assimilative system, the half width of the localization radius is set equal to 1000 km in the horizontal direction but is not employed in the vertical direction. The ensemble number is set to 90, and the ensemble simulations are initialized by perturbing solar F_10.7 and Kp indexes via centered Gaussian distributions with a standard deviation of ± 20 (10²² Wm² Hz¹) and ± 1 (geomagnetic quiet time Kp), respectively (cf. Chen et al. 2016a). We calculate the ionospheric TEC from the ground-based GNSS receivers provided by International GNSS Service (IGS) and further assimilate these global TEC observations into the TIEGCM every 2 min in order to catch the rapid change of eclipse-induced ionospheric electron density. Noted that the time step for TIEGCM is also 2 min in this study. Since the TIEGCM is a self-consistent model, the assimilation of TEC observations into the model will simultaneously update the unobserved model state variables, such as neutral winds, neutral temperature, atomic and molecular oxygen missing ratios, and atomic oxygen ion density, according to their correlative relationships to the TEC observations (Chartier et al. 2016; Chen et al. 2016a, 2016b). These updates will further adjust the condition of the divergence-free current system in the model and then modify the morphology of electron density to achieve a unified system (Chen et al. 2017).

Figure 1 shows the comparisons of GNSS TEC observations (a), the TIEGCM assimilation results on 20 August (one day before the eclipse) (b) and 21 August (eclipse day) (c), as well as the difference between the two-days assimilation results (d) around the North and South America regions at 1730 UT (top panels), 1800 UT (middle panels), and 1830 UT (bottom panels), respectively. The assimilation result on the eclipse day (Fig. 1c) shows the TEC reduction around the northwest side of the maximum solar eclipse obscuration region (white circles). The difference TEC (Fig. 1d), defined by subtracting the assimilation result 1 day before the eclipse (Fig. 1b) from the eclipse day (Fig. 1c), further shows the clear TEC enhancements around EIA regions, but with the TEC reductions around the obscuration region at each time frame. This eclipse-induced TEC depletion is around − 4 TECU at 1830 UT, a roughly 40% decrease in respect to the background TEC (Fig. 1b). The white lines in Fig. 1d display the locations of geomagnetic field line projecting to the ground surface. The field line starts from the location of the solar eclipse (white circle) to its conjugate location in the southern hemisphere at a given time. The results show that the eclipse-induced TEC depletions were also clearly seen at their relative conjugate locations. Since there was no TEC observation around the conjugate locations in the southern hemisphere (Fig. 1a), the conjugate effect of TEC depletions was generated from the model simulation.

Comparisons of GNSS TEC observations (a), data assimilation results on the eclipse previous day (b) and the eclipse day (c), and the TEC difference between these 2 days (d) around the North and South America regions at 1730 UT (top panels), 1800 UT (middle panels), and 1830 UT (bottom panels), respectively. Black indicates the magnetic equator. White circle is the location of maximum obscuration of the solar eclipse. The white line in d indicates the locations of geomagnetic field line projecting to the ground surface. The field line start from the location of the solar eclipse (white circle) to its conjugate location in the southern hemisphere

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The altitude-latitude variation of electron density (Ne) at 1730 UT (top panels), 1830 UT (middle panels), and 1930 UT (bottom panels) along the specific longitudinal plane (around geophysical longitude of 86° W, shown in the white line in the bottom panel of Fig. 1d) are shown in Fig. 2. The top (bottom) panel of Fig. 2c is the ionospheric state at 1 h before (after) the maximum eclipse obscuration. The maximum eclipse obscuration arrived at the location of 36.2° N latitude on 1830 UT, denoted by the black triangles in Fig. 2c. Compared with the assimilation result on the previous day (Fig. 2a), the assimilation analysis of EIAs on the eclipse day (Fig. 2b) shows the larger EIA peak densities in both hemispheres, except for the southern EIA peak at 1930 UT (bottom panel of Fig. 2b). The shape of the EIA analysis at 1830 UT and 1930 UT were compressed toward the magnetic equator, showing density enhancements at the equator-side and density reductions at the poleward-side (Fig. 2c). The northern edge of this electron density reduction was just over the maximum eclipse location. It is also clearly seen that the variations in electron density (reductions and enhancements) intensified over time. The black lines in Fig. 2c demonstrate the latitudinal variations of eastward electric field perturbations, defined by subtracting the electric fields (positive eastward) on the day before the eclipse from the eclipse day, at 300 km altitude calculated in the assimilative system. Compared with the previous day, the electric field at 1830 UT on the eclipse day was perturbed westward at the locations greater than ~ 10° N geographic latitude and enhanced at the locations lower than ~ 10° N geographic latitude. Both reductions and enhancements of electric field perturbations were further intensified at 1930 UT.

The altitude-latitude variations of electron density profile from the assimilation results on the eclipse previous day (a) and the eclipse day (b) and the difference (c) between the results of a and b, along the magnetic field line (shown in the bottom panel of Fig. 1d) at 1730 UT (top panels), 1830 UT (middle panels), and 1930 UT (bottom panels), respectively. The black line in c indicates the electric field perturbations between the eclipse day and the previous day

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In order to investigate time variations as well as the latitudinal dependences of the ionospheric responses to the solar eclipse, we further plot the latitude-time variations of ionospheric TEC along the specific longitudinal plane (same with Fig. 2) at 300 km altitude. Compared with the assimilation result of TEC on the previous day (Fig. 3a), the TEC assimilation analysis in Fig. 3b shows a clear TEC reduction region above the latitude of 36° N and around the occurrence time of 1830 UT. Figure 3c shows this TEC reduction further moved to the lower latitude regions and became stronger over time. Furthermore, it is also seen that the relative TEC reduction also appeared at the conjugate southern hemisphere. Before the arrival of the solar eclipse at this longitude, there are TEC enhancements around 1730 UT (~ 1130 LT) at the EIA regions at the northern hemispheres, which formed the EIAs earlier than the day before the eclipse. The earlier appearance of the EIAs are also shown by comparing the global ionospheric maps (GIMs) on the eclipse day with the monthly median reference (figure not shown).

The latitude-time variations of TEC along the magnetic field line (shown in the bottom panel of Fig. 1d) from the assimilation results on the eclipse previous day (a) and the eclipse day (b), and the difference (c) between the TEC of a and b. The white circle indicates the latitude and the time of the maximum obscuration of the solar eclipse

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Figure 4 shows the relative latitude-time variations of eastward electric field perturbation along the specific longitudinal plane (same with Figs. 2 and 3) at 300 km altitude. From the electric fields on the day before the eclipse (Fig. 4a), it shows that the eastward electric fields appeared around the morning hours and then reversed to the westward after the evening hours. The assimilation analysis result on the eclipse day (Fig. 4b) further shows the enhancement of eastward electric fields at the northern mid- and low-latitude regions around 1600 ~ 2100 UT (1000~1500 LT). These enhancements of electric fields also occurred at the conjugate southern hemisphere simultaneously. Furthermore, the electric fields in Fig. 4b as well as the difference between the previous day and the eclipse day (Fig. 4c) shows the mid-latitude eastward electric field reversing to the westward direction right after the maximum obscuration of solar eclipse and then moving to the lower latitude region over time. After 2230 UT, the mid-latitude westward electric field turned to the eastward direction again.

Same as Fig. 3 but for the eastward electric fields

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The eclipsed-induced thermospheric neutral wind changes will also contribute to the electric field perturbations at the ionospheric E region through the dynamo process (\( \overset{\rightharpoonup }{E^{\prime }}=\overset{\rightharpoonup }{U}\times \overset{\rightharpoonup }{B} \)) and then further affect the ionospheric electron density perturbations. By subtracting the assimilative results of the previous day from those of the eclipse day, Fig. 5b and c show the contributions of eastward electric field perturbations at 1830 UT by the assimilative system and the dynamo process (meridional wind) at 110 km altitude (ionospheric E region), respectively. The eastward electric field perturbations in Fig. 5b show the enhancement at the eastern side of the maximum eclipse obscuration as well as the reduction at the western side. The perturbations in the Pedersen neutral wind dynamo effect in Fig. 5c further show the enhancement at the equatorial region and the reduction at the mid-latitude region.

The spacial perturbations between the eclipse day and the previous day at 1830 UT and 110 km altitude. There are a Pedersen conductivity, b eastward electric field, and c meridional wind effect (\( \overset{\rightharpoonup }{U}\times \overset{\rightharpoonup }{B} \)) in the eastward direction

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Unlike the previous studies (Le et al. 2009; Huba and Drob 2017) to simulate the ionospheric responses to the solar eclipses by applying a solar EUV radiation mask, this paper only assimilates the GNSS TEC observations into the physical model without using any mask to obscure the solar EUV effect in the model. In order to catch the rapid change of ionospheric electron density during the solar eclipse, the ionospheric TEC observations are assimilated into the system every 2 min. The assimilation analysis results on the eclipse day are compared with the previous day and show the TEC reductions around the maximum obscuration of the 2017 August total solar eclipse. The results obtained from the ionospheric data assimilation system are consistent with previous papers demonstrating TEC reductions by comparison of the solar eclipse day to a reference day during the same eclipse event (Coster et al. 2017; Zhang et al. 2017; Cherniak and Zakharenkova 2018; Nayak and Yiğit 2018; Sun et al. 2018). Furthermore, the related neutral temperature in the assimilation system was also decreased around the range of solar eclipse (figure not shown), which is consistent with the expectation of temperature reduction due to the solar eclipse. This indicates that the present ionospheric data assimilation system has the capability to improve the thermospheric responses to the solar eclipse.

Our results show enhanced EIAs at the low-latitude regions prior to the arrival of maximum obscuration. It is followed by the electron density reductions in the obscuration latitudes with the EIA enhancements at the adjacent lower latitudes. Both features appeared in the conjugate southern hemisphere and are consistent with the conjugated responses reported by Huba and Drob (2017). The major difference is that our assimilation results show not only electron density reductions at the maximum obscuration latitudes but also the lower latitude EIA enhancements. The difference may come from the fact that our assimilation system considers the effects of the thermospheric responses (temperature and winds) to the eclipse.

The ionospheric electric field effects on the electron density variations are shown in Fig. 2. Before the arrival of solar eclipse at 1730 UT (top panel of Fig. 2c), the electric field had been enhanced in the eastward direction around the geophysical latitude of − 5~20° N compared with the previous day. This eastward enhanced electric field on the eclipse day relatively uplifted the ionospheric F layer and resulted in the enhancement of electron density around geophysical latitude 10° N. At 1830 UT, the enhancement and reduction of eastward electric field perturbations further appeared at low- and mid-latitude regions, respectively, in the northern hemisphere. Since the electric fields at low- and mid-latitude regions are calculated with the assumption of equal potential along the magnetic field line (Richmond et al. 1992), the feature of enhanced and reduced electric field perturbations overall appeared along the magnetic file lines, but had the smaller perturbations in the southern hemisphere (also seen in Fig. 3c). At 1930 UT, the electric field perturbations further intensified the enhancement and the reduction of electron density at the low- and mid-latitudes, respectively.

According to the assimilation results of the electric field on the eclipse day (Fig. 4b), it is seen that the enhanced eastward electric field before the maximum obscuration of eclipse in the northern hemisphere produced the TEC enhancements around the low- and mid-latitude regions due to the effect of upward plasma (E × B) drift. Later, the strong westward electric fields occurred right after the period of maximum obscuration of solar eclipse around the mid-latitude region. This westward electric field decreased the ionospheric electron density during the eclipse window (Fig. 3c) by the downward movement of plasma vertical drift. The aforementioned features can also be seen in the longitude-latitude perturbations of the electric field shown in Fig. 5b. On the other hand, the occurrence time of maximum TEC reduction was around 1850 UT at 36° N latitude shown in Fig. 3c, revealing a time delay of 20 min with the solar eclipse obscuration (white circle in Fig. 3c at 1830 UT). These results imply that the ionospheric electron density morphology during the solar eclipse period is controlled by vertical plasma drift, upward (eastward electric field) at the low-latitude region and downward (westward electric field) at the mid-latitude region, respectively.

Figure 6 illustrates the possible mechanism of the abovementioned modification of electric field perturbations in the ionospheric data assimilation system. First of all, the Moon’s shadow decreases the ionizing radiation from the Sun during the solar eclipse, which causes a reduction in electron concentration. Conductivity becomes lower in the obscuration range of solar eclipse (Fig. 5a). Therefore, the charge particles accumulate at the boundary of high and low conductivity. Due to the direction of electric fields at the low-latitude region, the positive (negative) charge particles accumulate at the southwestern (southeastern) boundary of the eclipse, which induces the eastward electric field at lower latitudes to further enhance the original background eastward electric fields. On the other hand, at higher latitudes, the background westward electric fields are also enhanced by the same mechanism. The aforementioned mechanism is confirmed by the assimilation results in Figs. 4b and 5c, showing the enhanced eastward (westward) electric field at the low-latitude (mid-latitude) region.

Eclipse-induced enhancement on the eastward and westward electric fields at the low- and mid-latitudes, respectively. The red-dotted line indicates the effect range of the solar eclipse. The markers of “+” and “−” in the red color indicate positively and negatively charged particles, respectively. The orange-dotted line indicates the induced electric field

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Another interesting ionospheric feature during the 2017 August solar eclipse is shown in Fig. 3 is the early appearance of EIA (compared with the control run) in both hemispheres. The eclipse-induced early formation of EIA was observed and reported by Tsai and Liu (1999) during the solar eclipse of 24 October 1995, showing the pre-ascension of TEC observations before the solar eclipse. They suggested that this pre-ascension of TEC is possibly caused by the decrease of equatorial plasma fountain strength, which results in the equatorward shift of the EIA crest and the early forming of the EIA crest. However, this mechanism cannot fully explain the early EIA formation. Richmond et al. (2015) and Richmond and Fang (2015) proposed that an evening equatorial plasma vortex and the pre-reversal enhancement (PRE) of the vertical drift are influenced by the distributions of conductivity in the E and F regions in relation to the thermospheric neutral wind. The temperature difference within and outside the moon shadow area can produce a zonal pressure-gradient force to drive the thermospheric zonal wind. The electric field perturbations in Fig. 4 show the enhancement of the equatorial eastward electric field at the eastern region of the solar eclipse obscuration. This low-latitude eastward electric field might result from the sudden darkness induced by the solar eclipse at the termination region, like the eastward convection in the evening, and then further cause the early appearance of the EIA.

In this study, the ionospheric response during the total solar eclipse of 21 August 2017 was investigated using the coupled thermosphere-ionosphere data assimilation model for the first time. By assimilation of ground-based GNSS TEC observations on the eclipse day and the previous day, compared with their differences, the electron density decreased up to 4 TECU (~ 40% of the background TEC on the eclipse previous day) around the solar eclipse region at 1830 UT. The analysis of latitudinal variations of vertical electron density profiles further shows significant enhancements and reductions in electron density at the equator-side and the polar-side of EIA crests, respectively. This enhancement of equator-side of northern (southern) EIA was driven by the upward plasma drift from the eastward (westward) electric fields. Conversely, the reduction of EIA crests at the two poleward-side regions were driven by the reverse direction of vertical plasma drifts (or electric fields). These two electrodynamic processes cause the two EIA crests to be compressed toward the magnetic equator, revealing a TEC increase at the low-latitude region and a TEC decrease at the mid-latitude region. The morphology of low-latitude eastward and mid-latitude westward electric fields might be caused by the eclipse-induced ionospheric conductivity changings. Moreover, we further found that the EIA crests in both hemispheres on the eclipse day were formed earlier than that on the previous day, due to the electrodynamic processes in the wake of the eclipse. The assimilation analysis results show stronger eastward electric fields around the magnetic equator region at the beginning of the solar eclipse (around the eastern boundary of moon shadow), providing upward plasma (E × B) drift to uplift the ionospheric layer and lead the earlier forming of EIA crests.

DART:

Data Assimilation Research Testbed

EIA:

Equatorial ionization anomaly

GNSS:

Global Navigation Satellite System

TEC:

Total electron content

TIEGCM:

Thermosphere-Ionosphere-Electrodynamics General Circulation Model

The source code for the assimilation system and simulation model used in this study, the DART and TIEGCM, are available at https://www.image.ucar.edu/DAReS/DART/ and https://www.hao.ucar.edu/modeling/tgcm/, respectively. The authors are grateful for the NCAR High Altitude Observatory and Data Assimilation Research Section for their support of TIEGCM and DART software.

Funding

This paper is supported by Ministry of Science and Technology (MOST) and National Space Organization (NSPO) of Taiwan to National Cheng Kung University under MOST-107-2119-M-006-023 and NSPO-S-108002.

Availability of data and materials

The observations data from ground-based GPS receivers are available at IGS (https://garner.ucsd.edu/).

Affiliations

1. Department of Earth Sciences, National Cheng Kung University, No.1, University Road, Tainan City, 701, Taiwan
   • Chia-Hung Chen
   •  & Chien-Hung Charles Lin
2. Ann and H.J. Smead Department of Aerospace Engineering Sciences, University of Colorado, Boulder, CO, 80309-0429, USA
   • Tomoko Matsuo

Contributions

C-HC proposed the topic, performed the data assimilation system, and contributed the manuscript. C-HL designed the study and contributed the manuscript. TM collaborated with the corresponding author in the construction of the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Chia-Hung Chen.

Competing interests

The authors declare that they have no competing interests.

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