- Research article
- Open Access
A minimum in the latitude variation of spread-F at March equinox
© The Author(s). 2018
Received: 4 August 2017
Accepted: 21 March 2018
Published: 2 May 2018
This short paper presents the statistics of spread-F occurrence at four low-mid latitude locations (17.0° N, 21.2° N, 26.5° N and 36.5° N mag. lat.) in Japan longitude sector (~ 135° E) in March to April 2002, 2003 and 2006 (high, medium and low solar activity). The location of a spread-F minimum predicted by theoretical models is identified for the first time. The spread-F minimum occurs at the poleward side of the equatorial ionisation anomaly crest and shifts equatorward from ~ 25° N mag. lat. at high solar activity to below 17° N at low solar activity. The corresponding spread-F maximum occurring on the poleward side of the minimum also shifts equatorward from ~ 35° N (or beyond) at medium solar activity to 20°–25° N at low solar activity. The spread-F occurrence increases with decreasing solar activity at all locations especially at higher latitudes (> ~ 25° N) where there is almost no occurrence at high solar activity.
Earth’s ionosphere has a smooth density distribution during daytime when there is production of ionisation. In other words, during daytime when the E-region conductivity is strong, the ionospheric drivers such as electric fields and neutral winds and their fluctuations cannot destabilise the ionosphere. But after sunset when the E-region conductivity becomes weak, the drivers can destabilise the ionosphere and generate plasma irregularities of various scale sizes that manifest as spread-F (Booker and Wells 1938) and plasma bubbles (Woodman and La Hoz 1976) causing scintillations in communication signals (Aarons 1993). The irregularities occurring at low and mid latitudes have been studied widely using various experimental and theoretical modelling techniques for over 75 years to understand their science and variability and for mitigating their adverse effects on communication and navigation; for recent reviews, see Bowman (1990), Aarons (1993), Patra 2008, Woodman (2009), Kelley et al. (2011), and Yokoyama and Stolle (2017). The studies are to be continued for a better understanding of the generation and growth of the irregularities and their day-to-day variability to reach a level of forecasting capability.
The first and second terms are the gravitational and cross-field instability growth rates, β is the recombination rate, H is the electron density scale height, g is the acceleration due to gravity, and νin is ion-neutral collision frequency. The irregularities originating at the equatorial bottom-side F-region rise to the topside as plasma bubbles (Scannapieco and Ossakow 1976) and extend along the field lines to higher latitudes especially at high solar activity when PRE is strong.
Modelling studies of the growth rate have predicted a low latitude minimum. For example, Maruyama (1990) who modelled the growth rate of both the gravitational and cross-field (E × B) instability modes using flux tube integrated values (without neutral wind) showed that the net instability growth rate at March equinox under medium solar activity (F10.7 = 120) is negative in a narrow latitude region near 18° mag. lat. At lower and higher latitudes, the ionosphere becomes unstable.
The neutral wind fluctuations known as waves especially gravity waves which are always present and cause fluctuations in the E × B drift velocity (Balachandran et al. 1992; Abdu et al. 2015) are thought to act as the seed for the onset of the plasma irregularities (e.g. Osaakow, 1981; Sekar et al. 1995). The background neutral wind can also directly influence the growth of the irregularities (e.g. Maruyama and Matuura 1984). At low solar activity and when PRE is absent, the plasma irregularities generally occur at around midnight (e.g. Nishioka et al. 2012). They are thought to be caused mainly by the electric field fluctuations due to atmospheric gravity waves propagating to ionospheric heights easily at low solar activity (e.g. Tsunoda et al. 2010; Patra et al. 2013; Tulasiram et al. 2014; Narayanan et al. 2014a).
Plasma irregularities have also been observed at low and mid latitudes where PRE is absent due to inclined geomagnetic field lines (Bowman 1990 and references therein). Whalen (2002) studied the spread-F occurrence at a chain of stations up to 20° mag. lat. in American sector. Fukao et al. (1991) and Kelley and Fukao (1991) studied the F-region plasma irregularities observed by the MU (middle and upper atmosphere) radar. Otsuka et al. (2002), for the first time, observed an identical optical structure at conjugate stations beyond the EIA crests.
where E = E0 + UF × B is total effective electric field with E0 being the background field; UF is F-region neutral wind, B is geomagnetic field of magnitude B, I is magnetic inclination angle, H is atmospheric scale height including ion-neutral collision frequency, θ is the angle between E and east direction, and α is the angle between the direction normal to the frontal structure and east direction. A maximum of the growth rate γ is expected to occur at the location where α = θ/2.
As introduced, theoretical models have predicted a low-latitude minimum (e.g. Maruyama 1990) and a mid-latitude maximum (e.g. Tsunoda 2006) for the occurrence of plasma irregularities manifested as spread-F in ionograms. The possibility of the minimum has also been indicated by optical observations of MSTIDs (Shiokawa et al. 2002, 2003), which shows a low-latitude limit for their propagation at ~ 18° N mag. lat. at high solar activity (1999), and the limit is found to extend to further lower latitudes at low solar activity (e.g. Narayanan et al. 2014b). However, to our knowledge, the expected minimum and maximum in the occurrence of plasma irregularities have not yet been identified.
This short paper identifies the spread-F minimum and maximum for the first time by analysing the ionosonde data during the March equinox season when the minimum was predicted. The data used are collected at four low- to mid-latitude locations (17.0° N, 21.2° N, 26.5° N and 36.5° N mag. lat.), referred as low-mid latitudes, in Japan longitude sector (~ 135° E) in March to April (or equatorial spread-F season (Aarons 1993) at high, medium and low solar activity (2002, 2003 and 2006). The locations of the spread-F minimum and maximum are found to shift equatorward with decreasing solar activity.
The study uses the ionosonde data collected at Okinawa (26.7° N, 128.2° E; 17.0° N mag. lat.), Yamagawa (31° N, 131° E; 21.2° N mag. lat.), Kokubunji (35.7° N, 139.5° E; 26.5° N mag. lat.) and Wakkanai (45.4° N, 141.7° E; 36.5° N mag. lat.) in Japan during March to April 2002, 2003 and 2006. The periods cover high, medium and low solar activity (mean F10.7 = 185, 129 and 82) when typical post-sunset EIA crests reach up to ~ ± 22°, ± 18° and ± 15° mag. lat. as shown by model calculations (Balan and Bailey 1995; Balan et al. 1997, 2012). The ionosondes at Yamagawa (21.2° N mag. lat.) and Okinawa (17.0° N mag. lat.) might have fallen at around the northern EIA crest during the evening-night hours in 2002 and 2003, and the crest might not have reached Okinawa (lowest latitude) in 2006.
High solar activity
The spread-F occurrence in the low-mid latitude region at high solar activity (2002; Fig. 2) is not so frequent. The occurrence also decreases steadily with increasing latitude from ~ 26% at Okinawa to ~ 2% at Wakkanai, and there is almost no occurrence at latitudes beyond 26.5° N (Kokubunji). No spread-F occurred at higher latitudes without a corresponding spread-F at lower latitudes (Okinawa) except for the lone case at the highest latitude (Wakkanai). The spread-F onset at all locations is generally at post-sunset hours (~ 21–23 LT) except at Okinawa where some cases occurred at post-midnight hours also. On common days of spread-F, the occurrence at higher latitudes in general started at around the same time or slightly after its start at the lowest latitude, and the duration of spread-F is generally longer at lower latitudes (Okinawa and Yamagawa) and shorter at higher latitudes except for the lone case at the highest latitude. The observations therefore indicate that at high solar activity when typical post-sunset EIA crest reaches up to ~ 22° N mag. lat. (Balan et al. 1997), the low latitude minimum of spread-F is located at the poleward side of the EIA crest at magnetic latitudes near 25° N in Japan longitudes; spread-F at the equatorward side of the minimum is mainly of equatorial origin, and at the poleward side of the minimum, there is almost no spread-F, discussed below.
Medium solar activity
Spread-F occurs more frequently at medium solar activity (2003; Fig. 3) than at high solar activity at all locations especially at higher latitudes. Compared to high solar activity while the occurrence increases by about 12% at low latitudes (17.0° N, Okinawa), the increase is over 55% at mid latitudes (36.5° N, Wakkanai) and the increase at the latitudes in between is 15% at 21.2° N and 30% at 26.5° N. More importantly, in 2003 (Fig. 3), the occurrence shows a clear minimum near Yamagawa (21.2° N) while it was near Kokubunji (26.5° N) in 2002. The occurrence also indicates a possible maximum near or beyond Wakkanai (36.5° N) while there was almost no spread-F beyond the minimum in 2002. The onset time of spread-F varies from as early as 18:00 LT to as late as 04:30 LT with over half of the onsets being after 21–22 LT at all locations. The duration of spread F varies from as short as 30 min to as long as 11 h with about half of the cases lasting over 5 h.
The observations therefore indicate that at medium solar activity, there is a clear spread-F minimum located at ~ 20° N mag. lat. at the poleward side of the typical EIA crest that reaches as far as ~ 18° N (Balan and Bailey 1995). There is also indication of a spread-F maximum at ~ 35° N mag. lat. (Wakkanai) or beyond as expected (Eq. 2), and the spread-F at the poleward side of the minimum (Kokubunji and Wakkanai) is mainly of mid-latitude mechanism.
Low solar activity
The spread-F occurrence is most frequent at low solar activity (2006; Fig. 4) at all locations except at the highest latitude (Wakkanai) where it slightly decreases by 8% compared to medium solar activity. With respect to medium solar activity, while the occurrence increases by 20% at Okinawa, the increase is 36% each at Yamagawa and Kokubunji. It is interesting to note that the occurrence in 2006 is least frequent at Okinawa (17.0° N) and most frequent and almost equally at Yamagawa and Kokubunji (21.2° N and 26.5° N). The onset time is generally after 22 LT at all locations except at Wakkanai where some cases started before 22 LT. The duration of spread-F is generally longer at higher latitudes. These observations indicate that the spread-F minimum at low solar activity might be located at latitudes below 17° N when a weak EIA crest reaches up to ~ 15° N (Balan et al. 2012). There is also a clear spread-F maximum located at ~ 20°–25° N mag. lat., and the spread-F at all locations (now on the poleward of the minimum) is mainly of mid-latitude mechanism.
As described in the “Introduction” section, the plasma irregularities at March equinox manifesting as spread-F in ionograms are caused by separate mechanisms at equatorial (up to EIA crest) and higher latitudes, though there are overlaps at the latitude boundary. At equatorial latitudes, the irregularities originate in the bottomside F-layer mainly through the RT instability mechanism driven by PRE (e.g. Patra 2008; Yokoyama and Stolle 2017). At higher latitudes, the irregularities are known to be caused by the Perkins instability mechanism (Perkins 1973). Theoretical calculations of the latitude variation of the irregularities due to the RT mechanism have predicted a minimum at around 18° mag. lat. at March equinox at medium solar activity (e.g. Maruyama 1990). The ionosonde data at March equinox under three levels of solar activity analysed in this paper specifically to identify the expected minimum have brought out the minimum and showed that the minimum shifts to lower latitudes with decreasing solar activity. The analysis has also identified a spread-F maximum on the poleward side of the minimum expected from the Perkins mechanism (e.g. Tsunoda 2006); the maximum also shifts equatorward with decreasing solar activity.
In addition to the latitude variation of the RT mechanism that predicted the existence of the spread-F minimum (e.g. Maruyama 1990), the low latitude limit of the Perkins mechanism driven by MSTIDs (Shiokawa et al. 2002) also supports the existence of the spread-F minimum. The optical observations of MSTID propagation (Shiokawa et al. 2002) showed a low latitude limit for the propagation at around 18° N mag. lat. The spread-F observations (Fig. 3) under similar conditions (March equinox at medium solar activity) indicate the minimum occurring at ~ 20° N mag. lat. at the poleward side of the EIA crest. The spread-F minimum shifts from ~ 25° N mag. lat. at high solar activity to below 17° N at low solar activity (Figs. 2, 3, 4, 5 and 6) when the typical location of the EIA crest shifts from ~ 22° N to 15° N. The spread-F maximum occurring on the poleward side of the minimum (under medium and low solar activities) also shifts equatorward with decreasing solar activity. There is almost no spread-F on the poleward side of the minimum at high solar activity.
As mentioned, the spread-F occurrence (Figs. 2, 3, 4, 5 and 6) on the poleward side of the minimum seems mainly of local origin. The local origin believed to be due to Perkins mechanism (Perkins 1973) is associated well with nighttime MSTIDs because (1) like spread-F, MSTIDs also occur most frequently at low solar activity and least frequently at high solar activity (Shiokawa et al. 2002, 2003), and (2) the low latitude limit of MSTIDs extends to further lower latitudes with decreasing solar activity (Narayanan et al. 2014b). These features of MSTIDs agree well with the observed spread-F occurrence on the poleward side of its minimum. Shiokawa et al. (2003) who studied the spread-F at mid latitudes reported ~ 10% occurrence of spread-F during the high solar activity period spanning 4 years (1979–1982), which also agrees with the present observations of ~ 2% at the peak of solar activity (1982).
Since the purpose of the present paper is to identify the latitude of the spread-F minimum expected at March equinox, we used the data at same equinox season. It will be interesting to do a similar study at solstices as well, which we plan to undertake in the near future. Earlier, Shiokawa et al. (2003) presented the monthly variation of spread-F occurrence at the four locations under high and low solar activity conditions. They showed that the spread-F occurrence reaches a maximum in summer months.
The spread-F occurrence increases with decreasing solar activity especially at latitudes greater than ~ 25° N mag. lat.
The location of a spread-F minimum predicted by theoretical models is identified for the first time.
The spread-F minimum occurs at the poleward side of the EIA crest and shifts from ~ 25° N at high solar activity to below 17° N at low solar activity.
The corresponding spread-F maximum occurring on the poleward side of the minimum (at low and medium solar activities) also shifts equatorward from ~ 35° N (or beyond) to 20°–25° N.
There is almost no spread-F on the poleward side of the minimum at high solar activity.
N. Balan thanks T. Maruyama for inviting him to NICT under JSPS invitation fellowship in 2003 when this study was initiated, and IGGCAS of China and ISEE of Nagoaya University for visiting professor positions. V.L.N. is supported by the INSPIRE Faculty grant IFA14/EAS18 from the Department of Science and Technology, Govt. of India. The ionosonde data used are obtained using the ionosondes in Japan, which are available at http://wdc.nict.go.jp/ionog/js_viewer/js_01.html.
No funding is available for this paper.
Availability of data and materials
The data used are obtained using the ionosondes in Japan, which are available at http://wdc.nict.go.jp/ionog/js_viewer/js_01.html.
NB took the initiative, analysed the data and prepared the paper. TM provided the data. AKP has been involved in the discussions. VLN did some data analysis and participated in the discussions. All authors read and approved the final manuscript.
Ethics approval and consent to participate
Consent for publication
The authors declare that they have no competing interests.
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Aarons J (1993) The longitudinal morphology of equatorial F layer irregularities relevant to their occurrence. Space Sci Rev 63:209–243View ArticleGoogle Scholar
- Abdu MA, de Souza JR, Kherani EA, Batista IS, MacDougall JW, Sobral JHA (2015) Wave structure and polarization electric field development in the bottomside F layer leading to post-sunset equatorial spread F. J Geophys Res 120:6930–6940View ArticleGoogle Scholar
- Balachandran R, Balan N, Bailey GJ, Rao PB (1992) Spectra of the ac electric fields in the post sunset F region at the magnetic equator. Planet Space Sci 40:655View ArticleGoogle Scholar
- Balan N, Bailey GJ (1995) Equatorial plasma fountain and its effects: possibility of an additional layer. J Geophys Res 100:21,421View ArticleGoogle Scholar
- Balan N, Bailey GJ, Abdu MA, Oyama KI, Richards PG, Macdougall J, Batista IS (1997) Equatorial plasma fountain and its effects over three locations: evidence for an additional layer, the F3 layer. J Geophys Res 102:2047View ArticleGoogle Scholar
- Balan N, Chen CY, Rajesh PK, Liu JY, Bailey GJ (2012) Modeling and observations of the low latitude ionosphere-plasmasphere system at long deep solar minimum. J Geophys Res 117:A08316. https://doi.org/10.1029/2012JA017846 View ArticleGoogle Scholar
- Balan N, Jayachandran B, Balachandran Nair R, Namboothiri SP, Bailey GJ, Rao PB (1992) HF Doppler observations of vector plasma drifts in the evening F region at the magnetic equator. J Atmos Terr Phys 54:1545View ArticleGoogle Scholar
- Balan N, Rao PB (1987) Latitudinal variations of nighttime enhancements in total electron content. J Geophy Res 92:3436View ArticleGoogle Scholar
- Booker HG, Wells HW (1938) Scattering of radio waves by the F region of the ionosphere. J Geophys Res 43:249View ArticleGoogle Scholar
- Bowman GG (1990) A review of some recent work on mid-latitude spread-F. J Geomagn Geoelectr 42:109–138View ArticleGoogle Scholar
- Dungey JW (1956) Convective diffusion in the equatorial F region. J. Atmos. Terr. Phys. 9:304–310View ArticleGoogle Scholar
- Eccles JV, St. Maurice JP, Schunk RW (2015) Mechanisms underlying the pre-reversal enhancement of the vertical plasma drift in the low-latitude ionosphere. J Geophys Res 120:4950–4970View ArticleGoogle Scholar
- Fejer BG, Farley DT, Woodman RF, Calderon C (1979) Dependence of equatorial F region vertical drfits on season and solar cycle. J Geophys Res 84:5792View ArticleGoogle Scholar
- Fukao S, Kelley MC, Shirakawa T, Takami T, Yamamoto M, Tsuda T, Kato S (1991) Turbulent upwelling of the mid latitude ionosphere 1. Observational results by the MU radar. J Geophys Res 96:3725View ArticleGoogle Scholar
- Hamza AM (1999) Perkins instability revisited. J Geophys Res 104:22567–22575View ArticleGoogle Scholar
- Heelis RA, Kendall PC, Moffett RJ, Windle W, Rishbeth H (1974) Electrical coupling of the E and F regions and its effects on F region drifts and winds. Planet Space Sci 22:743View ArticleGoogle Scholar
- Huang C-S, Hairston MR (2015) The postsunset vertical plasma drift and its effects on the generation of equatorial plasma bubbles observed by the C/NOFS satellite. J Geophys Res 120:2263–2275. https://doi.org/10.1002/2014JA020735 View ArticleGoogle Scholar
- Jayachandran B, Balan N, Rao PB, Sastri JH, Bailey GJ (1993) HF Doppler and ionosonde observations on the onset conditions of equatorial spread-F. J Geophys Res 98:13741View ArticleGoogle Scholar
- Kelley MC, Fukao S (1991) Turbulent upwelling of the mid latitude ionosphere 2. Theoretical framework. J Geophys Res 96:3747View ArticleGoogle Scholar
- Kelley MC, Makela JJ, de La Beaujardière O, Retterer J (2011) Convective ionospheric storms: a review. Rev Geophys 49:RG2003. https://doi.org/10.1029/2010RG000340 View ArticleGoogle Scholar
- Makela JJ, Otsuka Y (2012) Overview of nighttime ionospheric instabilities at low- and mid-latitudes: coupling aspects resulting in structuring at the mesoscale. Space Sci Rev 168:419–440. https://doi.org/10.1007/s11214-011-9816-6 View ArticleGoogle Scholar
- Maruyama T (1990) ExB instability in the F region at low to mid latitudes. Planet. Space. Sci. 38:273View ArticleGoogle Scholar
- Maruyama T, Matuura N (1984) Longitudinal variability of annual changes in activity of equatorial spread F and plasma bubbles. J Geophys Res 89:10,903View ArticleGoogle Scholar
- Miller, C. A., Electrodynamics of midlatitude spread F 2. A new theory of gravity wave electric fields, J Geophys Res., 102, doi:https://doi.org/10.1029/96JA03840, 1997
- Namboothiri SP, Balan N, Rao PB (1989) Vertical plasma drift in the F-region at the magnetic equator. J Geophys Res 94:12055View ArticleGoogle Scholar
- Narayanan VL, Shiokawa K, Otsuka Y, Saito S (2014a) Airglow observations of nighttime medium-scale traveling ionospheric disturbances fromYonaguni: statistical characteristics and low-latitude limit. J Geophys Res 119. https://doi.org/10.1002/2014JA020368
- Narayanan VL, Sukanta Sau S, Gurubaran K, Shiokawa N, Balan K, Emperumal S, Sripathi (2014b) A statistical study of satellite traces and evolution of equatorial spread F. Earth Planets Space 66:160. https://doi.org/10.1186/s40623-014-0160-4 View ArticleGoogle Scholar
- Nishioka M, Otsuka Y, Shiokawa K, Tsugawa T, Effendy P, Supnithi T, Nagatsuma K, Murata T (2012) On post-midnight field-aligned irregularities observed with a 30.8-MHz radar at a low latitude: comparison with F-layer altitude near the geomagnetic equator. J Geophys Res 117:A08337. https://doi.org/10.1029/2012JA017692 View ArticleGoogle Scholar
- Ossakow SL (1981) Spread F theories—a review. J. Atmos. Terr. Phys. 43:437View ArticleGoogle Scholar
- Otsuka Y, Shiokawa K, Ogawa T, Wilkinson P (2002) Geomagnetic conjugate observations of equatorial airglow depletions. Geohys Res Let 29. https://doi.org/10.1029/2002GL015347
- Patra AK (2008) Some aspects of electrostatic coupling between E and F regions relevant to plasma irregularities: a review based on recent observations. J Atmos Solar Terr Phys 70:2159–2171View ArticleGoogle Scholar
- Patra AK, Taori A, Pavan Chaitanya P, Sripathi S (2013) Direct detection of wave-like spatial structure at the bottom of the F region and its role on the formation of equatorial plasma bubble. J Geophys Res 118. https://doi.org/10.1002/jgra.50148
- Perkins F (1973) Spread F and ionospheric currents. J Geophys Res 78:218–226View ArticleGoogle Scholar
- Saito A et al (2001) Traveling ionospheric disturbances detected in the FRONT campaign. Geophys Res Lett 28:689–692View ArticleGoogle Scholar
- Scannapieco AJ, Ossakow SL (1976) Nonlinear equatorial spread F. Geophys Res Lett 3:451View ArticleGoogle Scholar
- Sekar R, Suhasini R, Raghavarao R (1995) Evolution of plasma bubbles in the equatorial F region with different seeding conditions. Geophys Res Lett 22:885View ArticleGoogle Scholar
- Shiokawa K, Otsuka Y, Ihara C, Ogawa T, Rich FJ (2003) Ground and satellite observations of nighttime medium-scale traveling ionospheric disturbances at midlatitude. J Geophys Res 108(A4):1145. https://doi.org/10.1029/2002JA009639 View ArticleGoogle Scholar
- Shiokawa K et al (2002) Imaging observations of the equatorward limit of midlatitude traveling ionospheric disturbances. Earth Planets Space 54:57–62View ArticleGoogle Scholar
- Tsunoda RT (2006) On the coupling of layer instabilities in the nighttime midlatitude ionosphere. J Geophys Res 111:A11304. https://doi.org/10.1029/2006JA011630 View ArticleGoogle Scholar
- Tsunoda RT, Bubenik DM, Thampi SV, Yamamoto M (2010) On large-scale wave structure and equatorial spread F without a post-sunset rise of the F layer. Geophys Res Lett 37:L07105. https://doi.org/10.1029/2009GL042357 Google Scholar
- Tsunoda RT, Cosgrove RB (2001) Coupled electrodynamics in the nighttime midlatitude ionosphere. Geophys Res Lett 28:4171–4174View ArticleGoogle Scholar
- Tulasiram S et al (2014) Characteristics of large-scale wave structure observed from African and Southeast Asian longitudinal sectors. J Geophys Res 119. https://doi.org/10.1002/2013JA019712
- Whalen JA (2002) Dependence of equatorial bubbles and bottomside spread F on season, magnetic activity, and ExB drift velocity during solar maximum. J Geophys Res 107. https://doi.org/10.1029/2001JA000039
- Woodman RF (2009) Spread F—an old equatorial aeronomy problem finally resolved? Ann Geophys 27:1915–1934View ArticleGoogle Scholar
- Woodman RF, La Hoz C (1976) Radar observations of F region equatorial irregularities. J Geophys Res 81:5447View ArticleGoogle Scholar
- Yokoyama T, Otsuka Y, Ogawa T, Yamamoto M, Hysell DL (2008) First three-dimensional simulation of the Perkins instability in the nighttime midlatitude ionosphere. Geophys Res Lett 35:L03101. https://doi.org/10.1029/2007GL032496 View ArticleGoogle Scholar
- Yokoyama T, Stolle C (2017) Low and midlatitude ionospheric plasma density irregularities and their effects on geomagnetic field. Space Sci Rev 206:495–519. https://doi.org/10.1007/s11214-016-0295-7 View ArticleGoogle Scholar