Satellite model of foF2 in winter high-latitude ionosphere describing the trough structure

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Abstract

An empirical foF2 model was constructed for the winter high-latitude ionosphere taking into account the structure of the ionization trough. This model describes the trough position and its shape in terms of longitudinal-latitudinal variations in foF2 in geographic latitude intervals of 40–85°N and 40–85°S. The model is valid for November to February in the Northern hemisphere and May-August in the Southern hemisphere. The simulation describes quiet geomagnetic conditions (Kp from 0 to 3+ for all local time (LT) and universal time (UT) hours at any solar activity level in the interval F10.7 = 70–200 s.f.u. The model is based on the Cosmos-900, Interkosmos-19 and CHAMP satellite data. The radio occultation observation data obtained from the GRACE, CHAMP and COSMIC/FORMOSAT experiments were partially used. The International Reference Ionosphere (IRI) was also used; thus, the ground-based station data were indirectly considered. Within the model framework, the variations in the trough minimum position with longitude and local time were identified and studied in detail. The latitudinal and longitudinal variations in foF2 were also revealed and investigated. The constructed model more adequately reproduces variations in foF2 than the IRI-2016 model. The new model is available on the IZMIRAN website: http://www.izmiran.ru/ionosphere/sm-mit/.

Introduction

The ionospheric trough was discovered by Muldrew (1965) from Alouette satellite data. Trough is the main feature of the winter and the nighttime equinox high-latitude ionosphere, as it is regularly observed in these conditions (Karpachev and Afonin, 1998). The main morphological characteristics and causes of trough formation have been described in reviews (Ahmed et␣al., 1979, Moffett and Quegan, 1983, Rodger et␣al., 1992, Karpachev, 2003). The trough is primarily a night phenomenon; however, it is quite regularly observed in the winter daytime ionosphere under low solar activity (Tulunay and Grebowsky, 1978, Ahmed et␣al., 1979, Oksman, 1982, Evans et␣al., 1983, Whalen, 1989, Sojka et␣al., 1990, Werner and Prolss, 1997, Karpachev et␣al., 1998). The dynamics of the trough largely determines the ionosphere behavior; hence, it is impossible to construct an accurate model of the high-latitude (subauroral) ionosphere that does not consider the trough structure. This also applies to the IRI model, which does not describe the trough.

Attempts to build a trough model have been made repeatedly; however, they only consider the nighttime trough and are limited (Halcrow and Nisbet, 1977, Feichter and Leitinger, 2002, Wielgosz et␣al., 2004, Pryse et␣al., 2006, Le et␣al., 2017, Parker et␣al., 2018). This is because the trough is created by several competing mechanisms so that it is a very variable structure [Moffett and Quegan, 1983]. The trough structure (position and shape) strongly depends on local time, season, hemisphere, geomagnetic and solar activity (Ahmed et␣al., 1979, Moffett and Quegan, 1983, Rodger et␣al., 1992, Karpachev and Afonin, 1998, Karpachev, 2003, Karpachev, 2019a). The trough characteristics are also highly variable with longitude (Tulunay, 1973, Karpachev et␣al., 1996, 2016, 2018, Karpachev and Afonin, 1998); therefore, the complete model can be constructed only based on satellite observations, which allow us to obtain a global pattern of the ionosphere.

To construct a trough model, it is necessary to know its position as accurately as possible, since at large gradients on its equatorward and poleward walls, the errors in the foF2 determination can be very large. In this study, the trough is understood to be the main ionospheric trough (MIT). According to the definition, the MIT is a subauroral structure since it is usually located 2-5° equatorward of the auroral oval [Ahmed et␣al., 1979]. To accurately determine the MIT position, it must be separated from other troughs: lower-latitude and higher-latitude troughs. This complicated problem was discussed in several papers [Werner and Prolss, 1997, Karpachev and Afonin, 1998, Karpachev, 2019a, Karpachev, 2021]. The conclusions drawn from these studies are used below in creating the MIT position model.

The occurrence probability of a daytime trough decreases with the increase in the illumination of the high-latitude ionosphere. Thus, strictly speaking, the daytime trough model must be probabilistic. In this case, it is more correct to speak not about the trough model but the model of the F2 layer critical frequency foF2 in the high-latitude ionosphere.

All of the above problems have been solved for many years, but the nighttime winter trough model for both hemispheres was built quite recently in [Karpachev et␣al., 2016] and the daytime winter trough model in [Karpachev, 2019b]. The Kosmos-900, Interkosmos-19, and CHAMP satellite data were used in these models. In the present study, a large-scale task of significant modification, expansion, and refinement of the previously created models of the winter ionospheric trough for quiet geomagnetic conditions was set. The radio occultation data were additionally used for the simulation and indirectly, through the IRI model, data from ground-based ionospheric stations. As a result, the foF2 model of the high-latitude winter ionosphere taking into account both nighttime and daytime troughs for quiet conditions in both hemispheres, for all levels of solar activity and for all local time hours was built.

Section snippets

Observation data

To construct the model, we used the data of ionosphere topside sounding (electron density at the maximum of the ionosphere F2 layer, NmF2, or F2 layer critical frequency, foF2) obtained onboard the Intercosmos-19 satellite at high solar activity, HSA (F10.7 ~ 200 s.f.u.), as well as in␣situ measurement of electron density Ne or plasma frequency fp on the Kosmos-900 and CHAMP satellites at low, medium and high solar activity. Intercosmos-19 (IK-19) was operated from 1979 to 1982. The ionosonde

Trough occurrence probability

Fig.␣2 shows the diurnal variations in the probability P of the winter trough occurrence obtained from the CHAMP data in 2001–2002 at HSA (F10.7 ~ 180 s.f.u.) and in 2006–2008 at LSA (F10.7 ~ 68–80 s.f.u.). Data for the mid-winter, i.e., for December-January in the Northern hemisphere and for June-July in the Southern hemisphere were used. The occurrence probability of the winter nighttime trough according to the CHAMP data at LSA (F10.7 less than 100 s.f.u.) is more than 95%. In the daytime

Trough position model

As mentioned above, to build an adequate high-latitude ionosphere model, it is necessary to know as accurately as possible the trough minimum position. Numerous studies show a large trough position data scatter (Rycroft and Burnell, 1970, Tulunay and Grebowsky, 1978, Ahmed et␣al., 1979, Oksman, 1982, Karpachev et␣al., 1996, Werner and Prolss, 1997, Karpachev et␣al., 1998). This large data scatter is associated first, with the presence of two, and even three, different troughs in the considered

Longitudinal and diurnal variations in the trough position

Thus, the data on the trough position for quiet geomagnetic conditions were processed for all local time hours in both hemispheres at high and low solar activity. Then, they were combined and adjusted in such a way that the diurnal variations became smooth at all longitudes. The resulting trough position model is presented in Fig.␣6 for the Northern and Southern hemispheres, high (F10.7 = 200 s.f.u.) and low (F10.7 = 70 s.f.u.) solar activity, for Kp = 2. To simplify perception, only

Trough shape model

After the trough position was determined, it becomes possible to construct the spatial pattern of foF2 in the trough region. First, the foF2 longitudinal variations according to the IK-19 data at HSA and fp according to the CHAMP data at LSA at latitudes of 40-85°N and 40-85°S with a step in latitude of 5° were derived. The longitudinal variations can be identified both for fixed moments of UT and LT. However, UT variations include both longitudinal and diurnal variations, i.e., arranged more

Distribution of foF2 in the winter mid- and high-latitude ionosphere

Fig.␣11 shows the foF2 distribution in the Northern and Southern hemispheres for noon conditions at LSA. The polar maps for 12:00 LT represent the characteristics of the high-latitude ionosphere, which were discussed in detail above. Therefore, we intend to emphasize only the main features. From the maps comparison, a strong interhemispheric asymmetry in the foF2 distribution is clearly visible. It manifests in both longitudinal and latitudinal variations in foF2. The foF2 values in the

Using the model

The new model describes the geomagnetic quiet ionosphere state. This means that the winter trough minimum position for the specified conditions is at the corresponding latitude for Kp = 2. However, the model can be used in the Kp interval from 0 to 3 + . To do this, we need to move the foF2 latitudinal profile obtained in the model poleward or equatorward by (2 – Kp) degrees, where the a coefficient, presented in Fig.␣4, depends on local time. When geomagnetic activity changes from 0 to 3+,

Discussion and conclusion

An analysis of the ionospheric trough occurrence probability shows that in winter conditions, the trough is formed not only at night but also during the daytime. This is the basis for creating a complete trough model. The newly constructed model is complete because it includes all local time hours, longitudes, solar activity levels, and winter months (November – February in the Northern hemisphere and May – August in the Southern hemisphere). Thus, it describes the foF2 pattern in the winter

Declaration of Competing Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgements

The author would like to give thanks to sponsors and operators of the CHAMP mission; Deutsches GeoForschungsZentrum (GFZ) Potsdam and German Aerospace Center (DLR). The authors are also grateful to sponsors and operators of the FORMOSAT-3/COSMIC mission. The CHAMP data are available on the website: http://op.gfz-potsdam.de/champ. The Interkosmos data are on the website: https://www.izmiran.ru/projects/IK19/db/, the Kosmos-900 data are on the website

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