3.1. Traveling Ionospheric Disturbances
A visual review of the processed data showed that a significant part (about half) of the experimental time series obtained by us was characterized by quasi-periodic variations in ionospheric parameters. As an example,
Figure 1 illustrates variations in the critical frequencies of the ordinary and extraordinary components (
foF and
fxF) (a), variations in the virtual heights
h′(t) for the extraordinary component on a series of probing frequencies indicated near the corresponding variations (b), variations in the electron concentration on a series of fixed heights and at the maximum of the
F2-layer (thick curve) (c), variations in the
hmF,
hbotF, Δ
hF, and
foF (d). The quasi-periodic variations of parameters of the
F2-layer shown in the figure can be associated with a large geomagnetic storm with a sudden onset that began on 24 July 2004 at 06:00 UT.
During geomagnetic storms [
1], polar electrojets are rapidly enhanced, which leads to local heating of the atmosphere. The process of rapid expansion and subsequent compression of the atmosphere creates large-scale atmospheric gravity waves (LSAGWs) propagating towards the equator and generating LSTIDs on their way. It follows from the figure that, against the background of their gradual decrease due to the usual diurnal variation of the electron concentration at the maximum of the
F2-layer, the critical frequencies exhibit quasi-periodic variations with a period of ~140 min. Pronounced variations with the same period are also observed in the behavior of
h′(
t). It can be seen that, from the series of
h′(
t) variations shown in the figure, only the lower curve is present during the entire eleven-hour observation session. Due to the change in the value of the critical frequency of the layer during the night, higher operating frequencies at one time or another turned out to be greater than the critical frequency of the layer, and reflections at these frequencies disappeared. The
h′(
t) variation records shown in the figure contain features characteristic of most measurement sessions in which quasi-periodic variations in ionospheric parameters were observed. Let us consider these features. The amplitude of variations
h′(t) increases with the increase in the probing frequency and, consequently, the height of the radio signal reflection. The figure also shows that the variations in
h′(t) at lower frequencies lag behind the variations at higher frequencies. Two conclusions follow from this. Firstly, the fact that
h′(t) variations at fixed frequencies arise as a result of the passage of waves and, secondly, that these waves are internal gravity waves, which are characterized by opposite directions of group and phase velocities in the vertical plane. It is known that the AGW energy is transferred to the thermosphere from the lower layers of the ionosphere; therefore, the motion of the AGW phase front must be directed from top to bottom, which is observed in the figure.
Figure 1c illustrates the smoothed variations of the ionospheric electron concentration (
N(
t)) for the considered night at a series of heights. The lower curve corresponds to the height of the layer bottom (
hbot = 190 km). The upper (thick) curve corresponds to variations in
Nm(
t) at the maximum of the
F2-layer. To eliminate high-frequency components, both of ionospheric origin and those caused by noise arising during processing, low-frequency filtering of the series was carried out using a sliding window with a length T = 60 min. An analysis of the phase relationships between the variation peaks in
foF,
hmF,
hbotF, Δ
h shown in
Figure 1d gives the following results. Peaks of variations in
foF (and, consequently, electron concentration) occur when the true height of the
F2-layer maximum decreases and at the same time, when the half-thickness of the
F2-layer reaches a minimum, i.e., at the moment of maximum compression of the ionosphere. An explanation of the phase relationships between variations of ionospheric parameters is given in [
15]. The given phase relationships between the considered layer parameters (
foF2,
hmF,
hbotF, Δ
h) are also preserved for other observation sessions with intense wave activity, for which time variations of these parameters were built.
The physical processes that occur in the ionosphere when an AGW passes through it were studied using the model of Millward et al. [
16]. The AGW generated in the polar region, when it reaches middle latitudes, has a wavelength exceeding 1000 km. For such a wave, the movement of neutral gas at the heights of the
F2-layer represents a horizontal wind blowing along the meridian to the south during the passage of the positive half-wave over the observation site and to the north during the passage of the negative half-wave over the observation site. Since the
F2-layer of the ionosphere is a weakly ionized plasma, it is involved in motion due to collisions of neutrals with ions.
In the F2-layer, the ionospheric plasma is magnetized, so that its motion is possible only along the magnetic field tubes. The speed of this motion is determined by the neutral wind component directed along the magnetic field. The neutral wind generated successively by positive and negative half-waves forces the plasma to move up and down along the magnetic field lines, respectively, leading to periodic oscillations in the height of the F2-layer maximum.
Based on the nature of variations in the main parameters of the
F2-layer of the ionosphere, presented in
Figure 1d, one can describe a qualitative picture of the behavior of the electron concentration in the F2-layer during the passage of the AGW. A common characteristic of AGWs is that their amplitude increases with altitude. Consequently, the value of the horizontal velocity of transfer of neutral particles in the AGW, which causes TID, increases with height. Consider a half-wave, in which the particles move along the meridian to the south. The movement of neutral particles causes charged particles to move upward along geomagnetic field lines to higher altitudes. Additionally, since the amplitude of the wave increases with height, the plasma at high altitudes will move up a greater distance compared to the plasma that was originally at a lower altitude. Therefore, as a result, an increase in the layer thickness and a decrease in the electron concentration at the layer maximum will be observed. The next AGW half-wave with particles moving to the north will lead to the opposite picture: the
F2-layer starts moving down to lower heights. Its thickness will decrease as the ionization concentration at the layer maximum increases. This is how the process of periodic redistribution of the ionospheric plasma over the changing thickness of the layer takes place, while the integral content of the ionosphere remains close to a constant value during the wave period, if the changes associated with the diurnal variation are not taken into account.
3.2. Night Enhancement in F2-Layer Electron Concentration
The probability of formation of nighttime enhancements is very high. On average, it reaches 50%, and in the winter months it can exceed 80% [
4,
6]. We used the Dst index to assess the geomagnetic activity. The value Dst = 7 shown in
Figure 2a represented the maximum value of the index, which occurred in the time interval starting several hours before the beginning of the recorded enhancement in the electron concentration and ending at the end of the enhancement. The choice of the boundaries of the interval for estimating the value of geomagnetic activity, which can be related to the observed phenomenon, is determined by the fact that the usual propagation time of disturbances from polar to middle latitudes is ~2–3 h [
1].
Figure 2a illustrates the behavior of the electron concentration at a number of fixed heights and at the layer maximum (thick curve) at a very low level of magnetic activity (Dst = 7 nT), at which the probability of generating a high-amplitude LSTID is almost zero. The distance between adjacent heights is 10 km, and the lower height for this case is 230 km.
Figure 2b illustrates the behavior of
hmF,
hbotF, Δ
h and
f0F. Comparing the time behavior of the parameters of the nighttime enhancement, one can see that its characteristic features completely repeat the features described in [
12] for the types of ionospheric plasma disturbances mentioned in the introduction.
These features of behavior include the rise of the layer with its subsequent downward movement and simultaneous compression, leading to the formation of the maximum value of
NmF at the moment of maximum compression (t~01:45). The behavior of the listed parameters of the layer fits into the scheme of the mechanism for the formation of nighttime enhancements in ionization, described in [
7]. Let us consider the main points of this mechanism using the example of the enhancement shown in
Figure 2. The decrease in the critical frequency at the beginning of the measurement session is due to the switching off of the ionizing radiation of the Sun after its sunset and chemical losses caused by plasma recombination. The rapid enhancement in the electron concentration after 06:00 is due to sunrise. Let us consider the behavior of all layer parameters for the ionization enhancement with the
NmF peak at t~01:45, taking into account the sequence of steps considered in [
7], which uses a self-consistent method developed by the authors for obtaining thermospheric parameters from incoherent scatter radar data.
The main idea of the method is to fit the theoretical
N(
h)-profile to the observed profile, and thus obtain a self-consistent set of main aeronomic parameters: neutral composition, neutral temperature, vertical plasma drift, and observed height profiles of electron and ion temperatures. Despite the variety of possibilities for realizing enhancements in
NmF, the authors established the main mechanism for the formation of the peak. At night, there is always a downward flow of O
+ ions and electrons from the plasmasphere into the
F2-layer. The vertical velocity of the plasma is determined by the altitude gradients of the electron concentration, ion and electron temperatures, as well as the gravitational term and the drift velocity determined by the thermospheric wind. The initial stage of the process is an enhancement in the speed of the meridional equatorward thermospheric wind, which lifts the
F2-layer and thus leads to an enhancement in
hmF. In
Figure 2b, this beginning corresponds to the time t~21:00. The rise of the
F2-layer reduces the recombination rate, and the corresponding plasma loss factor becomes small. In this case, even a moderate plasmaspheric flow is sufficient to start an enhancement in the electron concentration in the
F2-layer (t~00:00).
An enhancement in the electron concentration leads to a decrease in the electron temperature in the F2-layer. A decrease in the electron temperature leads to a decrease in the half-thickness (Δh), and a rapid and further enhancement in the downward flow velocity. An enhancement in the downward velocity of the plasma provides additional plasma inflow into the F2-layer, leading to an enhancement in the electron concentration, etc. This self-sustaining avalanche-like process forms a peak in NmF at t~01:45. The process stops when the thermospheric wind starts to decrease as the height of the hmF layer decreases. The layer returns back to the heights where recombination is high, while NmF begins to decrease and the described process reverses. The maximum flux strictly corresponds to the time of the peak in the NmF variations, since it is proportional to the product of the velocity and NmF, and they are maximum around this time. According to this mechanism, there must always be a delay in the peak in NmF variations relative to the peak in hmF. The peak in NmF should form in the region of the hmF decline.
3.3. Altitude Profiles of LSTID Amplitudes and Nighttime Enhancements
In the previous sections, we studied two types of ionospheric disturbances characterized by different physical mechanisms of their generation. The sources of ionospheric variability listed above demonstrate similar reactions of the ionosphere associated with the temporal expansion and upward rise of the
F2-layer and its fall, accompanied by its compression, giving a
NmF peak at the moment of maximum compression. In this section, the height profiles of the disturbance amplitudes are compared. To study the height profiles of the LSTID amplitudes for the period 2000–2008 observation sessions were selected, during which perturbations with the relative amplitude (Δ
h) exceeding 25% were recorded at a height corresponding to
Am. Here, Δ
h =
A(
h)/
N(
h), where
A(
h) is the absolute wave amplitude at the height
h and
N(
h) is the unperturbed electron concentration at the given height. The selection of observation sessions, during which LSTIDs with large absolute and relative amplitudes were recorded, ensured high accuracy in constructing altitude profiles of amplitudes even near the heights of the layer bottom, which are characterized by small values of
A(
h) and
N(
h). There were 63 such sessions in total.
Figure 3a illustrates an example of variations in the electron concentration
N(
t) for the night of 30–31 August 2004 at a series of heights with a distance between adjacent heights of 10 km. The lower curve corresponds to the height of the bottom of the layer (
h = 190 km).
The upper (thick) curve corresponds to variations in
NmF at the maximum of the
F2-layer. The figure illustrates smoothed concentration variations with filtered high-frequency fluctuations. The electron concentration variations shown in the figure demonstrate a feature characteristic of most sessions in which LSTIDs were observed. The peculiarity is that the LSTIDs in the
NmF(
t) variations manifest themselves much weaker than in the
N(t) variations at fixed heights located below the height of the layer maximum. The reasons for such a height dependence of the ionospheric response to the passage of AGWs are considered in [
15]. The reason for this phenomenon is the difference in the physical mechanisms that determine the magnitude of the amplitudes. If the magnitude of the variation amplitude
N(t) at a fixed height is determined by the mean value and vertical gradient of the electron concentration at this height, then the amplitude at the maximum of the layer whose height does not remain constant but experiences periodic variations is determined by the value of the amplitude of the layer half-thickness variations, which, in turn, is determined by the height gradient of the AGW amplitude.
As noted in [
17], in the limiting case, in the absence of a vertical amplitude gradient, when the
F2-layer oscillates in height without changing its shape, the amplitude of the critical frequency variation becomes equal to zero.
Figure 3b illustrates the height profiles of the absolute and relative amplitudes of disturbances 1, 2, calculated from the variations of
N(
t). Altitude profiles of the disturbance amplitudes were plotted for each periodic wave recorded during the measurement session. In
Figure 3a, two waves are clearly visible, which are indicated by the numbers 1 and 2. In this observation session, the heights corresponding to the maximum absolute amplitude, both for wave 1 and for wave 2, were 310–320 km, while the average height of the layer maximum was 370 km. It can be seen that the profiles for waves 1 and 2 differ for both relative and absolute amplitudes. A common property for the waves presented in
Figure 3 and for all other analyzed sessions is that the heights corresponding to the maximum values of the absolute amplitudes exceed the heights corresponding to the maximum values of the relative amplitudes. At the same time, the interval of changes in the heights of the maximum profiles for the entire array of analyzed sessions is very wide.
Figure 4 illustrates an example of the behavior of the parameters of the nighttime
F2-layer, which represents the sequence of the first (t~20:40–22:25) and the second (t~23:10–02:00) enhancements in the electron concentration. The drop in the electron concentration at the beginning of the measurement session is due to the switching off of the ionizing radiation of the Sun after its sunset and chemical losses due to plasma recombination. The rapid increase in the electron concentration in the morning after 06:00 is due to sunrise. The behavior of the electron concentration at a number of fixed heights makes it possible to obtain the height dependence (profile) of the enhancement peak-to-peak value. Here, by the term peak-to-peak value, we mean the difference in electron concentrations at the enhancement maximum (t = 22:30) and at the beginning of the enhancement (t = 20:40).
Figure 5 illustrates the height profiles of the enhancement peak-to-peak value for the first (a) and second (b) enhancement and the
N(
h)-profiles for the beginning and end of the enhancements, calculated from the variations of
N(
t) shown in
Figure 4. In the measurement session shown in
Figure 4, the height corresponding to the maximum peak-to-peak value, both for the 1st and for the 2nd enhancement, turned out to be 260 km. An analysis of the entire volume of observations showed that those considered in
Figure 4 features are preserved during the formation of enhancements and on other dates falling on different seasons and years under different levels of solar activity.
For a quantitative analysis of the parameters of nighttime enhancements, we selected 20 nights characterized by low magnetic activity (Dst > −50 nT) and pronounced manifestations of nighttime enhancements.
Figure 6a is a scatterplot between the height
hAm corresponding to the maximum peak-to-peak value and the height of the maximum
hmF of the layer. The interval of heights at which the maximum peak-to-peak value was observed for the entire array of analyzed sessions turned out to be very wide. The regression line calculated by the least squares method is shown as a solid line. The expression for this line and the value of the correlation coefficient
r = 0.9 are presented at the top of the figure. It follows from the figure that the difference between
hAm and
hmF increases linearly with
hmF. If for
hmF = 280 km the difference is ~38 km, then for
hmF = 380 km the difference is ~54 km. A similar behavior of the height corresponding to the maximum amplitude was also obtained for plasma perturbations generated by the LSTIDs (
Figure 6b).
It can be seen that hAm is always below hmF, there is a good correlation between hAm and hmF, the average distance between heights varies from ~45 km for hmF = 280 km to ~80 km for hmF = 380 km under low magnetic activity.
Thus, it is shown that two types of ionospheric variations also manifest themselves in the same way in the height profile of the variation amplitudes.