# Low-latitude ionospheric turbulence observed by Aureol-3 satellite

Y. Hobara, François Lefeuvre, Michel Parrot, O. A. Molchanov

► To cite this version:

Y. Hobara, François Lefeuvre, Michel Parrot, O. A. Molchanov. Low-latitude ionospheric turbulence observed by Aureol-3 satellite. Annales Geophysicae, 2005, 23 (4), pp.1259-1270. 10.5194/angeo-23-1259-2005. hal-00329396

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# Low-latitude ionospheric turbulence observed by Aureol-3 satellite

Y. Hobara<fnref n="1" />,*, F. Lefeuvre<fnref n="1" />, M. Parrot<fnref n="1" />, and O. A. Molchanov<fnref n="2" />

Received: 26 May 2003 – Revised: 1 March 2005 – Accepted: 14 March 2005 – Published: 3 June 2005

**Abstract.** Using PSD (Power Spectral Density) data on electron density and electric field variations observed on board Aureol-3 satellite at low-to-mid-latitude ionosphere we analyze a scale distribution of the ionospheric turbulence in a form $k^{-\alpha}$, where k is the wave number and $\alpha$ is the spectral index. At first, high-resolution data in the near-equator region for several orbits have been processed. In this case the frequency range is from 6 Hz to 100 Hz (corresponding spatial scales from 80 m to 1.3 km), each power spectrum obeys a single power law fairly well, and the mean spectral indices are rather stable with $\alpha_N=2.2 \pm 0.3$ and $\alpha_E=1.8 \pm 0.2$, for the density and electric field, respectively. Then we produce a statistical study of 96 electric field bursts in the frequency range 10–100 Hz from low-time resolution data (filter bank envelope). These bursts concentrate on the side of the Equatorial Anomaly crest (geomagnetic latitude 30–40°). Spectral indices of the bursts vary in the interval $\alpha_E=2.0–2.5$ but are fairly stable in seasons and local times. The electric field power of the burst has rather a large variability but has a relative increase in mean values for the summer and winter, as well as the daytime. The effect of major seismic activities toward the ionospheric turbulence is not conclusive either for the refractive index or for the electric field power. However, the mean value for the electric field power of bursts during seismic periods is larger than that for non seismic periods, and the statistical difference of the mean values is rather significant.

**Keywords.** Ionosphere (Equatorial ionosphere; Ionospheric irregularities) – History of Geophysics (Seismology)

## 1 Introduction

Electron density irregularities in the low-latitude ionosphere (so-called Equatorial spread-F, ESF) were observed on the ground using either conventional ionosphere sounding or by recording of incoherent radar scattering signals or by scintillation technique. Spatial spectrum (or wave number spectrum)

of the irregularities vary from large scale with length $L=20$ km to short scale with $L=0.1–10$ m (Kelley, 1989). In-situ measurements on board satellites and rockets have given a great contribution to the present understanding of the ionosphere dynamics. Recent analysis of plasma density measurements made aboard the AE-E satellite at altitudes above 350 km and below 300 km (Kil and Heelis, 1998) has revealed the existence of longitudinal variations due to F-region dynamics. The effect is seen most dramatically in the suppression of occurrence probabilities at altitudes above 350 km in longitude regions where interhemispheric winds in the magnetic meridian are the largest.

There were probe measurements of electrostatic potential fluctuations at wavelengths from a few meters to a few kilometers in the low-latitude ionosphere. In particular, vector electric fields in the frequency range $f$ from 10 to 500 Hz have been measured on the 400 km altitude polar orbiting OV1–17 satellite (Kelley and Mozer, 1972), and Holtet et al. (1977) demonstrated the association between spread-F properties and electrostatic noise near lower hybrid frequency ($f_{LHR} \sim 10–15$ kHz). Recently, Aggson et al. (1996) presented electric field data from the San Marco D spacecraft in terms of structure and dynamics of ionospheric plasma (between 500 km and 800 km) depletions associated with night side equatorial spread-F. They measured two DC electric field components in the zonal flow, westward and eastward, and found bifurcations of these depletions.

Rather useful information on multi-scale near-equatorial spread-F turbulence was obtained from frequency spectra of electron density and electric field fluctuations observed on rockets (see, for example, the review by Kelley, 1989). It is usually supposed that the frequency spectrum, which is recorded on a moving platform with velocity $V_0$, represents $k$-distribution in the form $\omega'=2\pi f' \sim kV_0$ (it is the so-called Taylor hypothesis), where $f'$ is the observed frequency of the variations and $k$ is their wave number along the direction of the movement. Thus, the power spectrum density in the conventional form $\sim (f')^{-\alpha}$ is converted in the spatial distribution $\sim k^{-\alpha}$ with the same spectral index $\alpha$. Jahn and LaBelle (1998) have recently presented the first rocket measurements of the ESF irregularities at altitudes above 600 km.

<footnote n="1">¹LPCE/CNRS, 3A, Avenue de la Recherche Scientifique, 45071, Orléans cedex 2, France</footnote>

<footnote n="2">²United Institute of Physics of the Earth, RAS, 123995, Bolshaya Gruzinskaya 10, Moscow D-242, Russia</footnote>

<footnote>*now at: Swedish Institute of Space Physics, Box 812, SE-981 28 Kiruna, Sweden</footnote>

<footnote>Correspondence to: Y. Hobara
(yasu@irf.se)</footnote>
Power spectra of electron density fluctuations shows dual-power law behavior with $\alpha_N$ indices changed from $\alpha_N \approx 1.7$ at frequencies below 60 Hz to $\alpha_N = 5$ at higher frequencies. The electric field fluctuations in their experiment had spectral indices $\alpha_E$ ranging from 3 to 4. A useful discussion related to the distinction between horizontal spectra observed along satellite tracks and the vertical wave number spectra measured with a rocket trajectory, further to the unified theory of observed density spectra, either by satellite or rocket, are found in the work by Kelley et al. (1987).

The same approach was used for some satellite data handling. Cerisier et al. (1985) analyzed electron density and electric field variations on board the Aureol-3 satellite in the frequency range 30–1000 Hz (scales $L \sim 10–300$ m). They found $\alpha = 1.7–1.9$ for the distribution of both parameters. However, they only analyzed one case at $h \sim 600$ km and at rather high magnetic latitude $\Phi \sim 63^\circ$. Molchanov et al. (2002b) showed the connection between burst position of electric field variations at frequencies 10 kHz and 15 kHz ($L \sim 0.5–0.8$ m) and the Equatorial Anomaly (EA) depletion from observations performed with the satellite IK-24, and found $\alpha_E = 3–4$. They revealed two regions of short-scale electric field ionospheric turbulence near the equator and near the pole-ward gradient of the EA (invariant latitudes $20–35^\circ$), and demonstrated that the intensity of the turbulence increased during several cases of seismic activity. In their recent paper, Molchanov et al. (2004b) analyzed, in addition, large-scale ($L = 15–300$ km) low-latitude density turbulence using Cosmos-900 data and reported $\alpha_N$ values in a range 1.3–2.0. They found a statistical decrease of the turbulence intensity in association with seismicity. Distinction of spectra between the source altitude of the ionospheric turbulence (low altitude) and satellite altitude (high altitude) where the observation is made is reported by many papers (e.g. Hysell et al., 1994). We are going to produce similar research with Aureol-3 data but with middle spatial scale, low-altitude, and low-to-middle latitudes, which are not covered by the previous works from Cosmos-900 and IK-24.

## 2 Data

The low-altitude Aureol-3 satellite was launched on 21 September 1981. The satellite is three-axis stabilized with the Z axis close to vertical and has a nearly polar orbit with a perigee at 400 km and an apogee at 2000 km. Based on the primary objectives, we use the data from electron density measurement and electric field measurement. The electron density is measured by the high-resolution Interferometer Self-Oscillating Probe (ISOPROBE) experiment (Béghin et al., 1982), with a time resolution of 0.2 ms.

The horizontal AC electric field component ($E_H$) used in this study is obtained from the Très Basses Fréquences (TBF) experiment (Berthelier et al., 1982). Definition of the coordinate system of the satellite is as follows: X axis is the direction of the nominal velocity vector, Z axis is vertical to the spacecraft, and Y is perpendicular to either the

$X$ of the Y axes. The horizontal electric field ($E_H$) is measured by pairs of spherical sensors located at the end of insulated booms (making angles of 11.5° and 18° with the YZ and XY planes, respectively) and the distance between sensors for the $E_H$ component is 7.87 m. High time resolution waveforms in the frequency range from 1 Hz to 1500 Hz with a 5 kHz sampling rate are transmitted to the ground, while the data from 6 band-pass filters with frequency range of 10 Hz–20 Hz, 20 Hz–45 Hz, 45 Hz–100 Hz, 100 Hz–200 Hz, 200 Hz–450 Hz, and 450 Hz–1000 Hz are recorded in a magnetic tape on board the satellite. For time resolution of sampled values for each filter, $\Delta t$ depends on the so-called ZAP of the Soviet telemetry mode and it ranges from ZAP1 ($\Delta t = 0.01$ s) to ZAP4 ($\Delta t = 2.56$ s). Dynamic range of the observed signal is 60 dB.

High time resolution data with the simultaneous recording of electron density and electric field are available only near the telemetry stations and we use these for a case study around the KOUROU telemetry station (5.2° N, 52.8° W) to investigate equatorial ionosphere. On the other hand, electric field data from filter banks (FB) can be sampled over the entire Earth, in spite of their poor time and frequency resolutions, and they are suitable for a statistical study.

## 3 Results and discussion

### 3.1 Case study (high time resolution data)

We use 5 different equatorial passes of the Aureol-3 satellite over the KOUROU telemetry station in June 1982. These passes were chosen for the previous work by Béghin et al. (1985) in relation to the plasma density irregularities, in association with the ESF, because the satellite has a perigee near the magnetic equator at local times between 20 and 22. Altitudes for those passes range from 400 km to 550 km.

Figures 1a and b show the electron density profiles (top panels) and relevant RMS density fluctuations (bottom panels) for 8 and 9 June, respectively. Due to the telemetry limitation, the data for the Southern Hemisphere are not obtained, however a significant increase in density fluctuation in the northern edge of the density depletion is identified, which is thought to be associated with Ionospheric Turbulence (IT) within the ESF. The spread in magnetic latitude of turbulence varies between 8 and 15 deg in these examples. The other 3 passes have a similar tendency for the location and size of the irregularities (not shown).

In the equatorial region, spectral analysis of the Aureol-3 data is performed for the electron density fluctuation or for the horizontal electric field inside IT. Considering the same time resolution between the electric field and the electron density data (0.2 ms), the Fast Fourier Transform is applied to obtain the Power Spectral Density (PSD) by using a 900-point window with 8-time averaging process, hence we produce one PSD profile about each second. In Fig. 2 we present an example of electron density and electric field spectra inside IT at 0:58:10.43 UT at the altitude of 437 km during the
<figure><img src="image_2.png" /></figure>

**Fig. 1.** Latitudinal variations (geomagnetic latitude) of the electron density along the Aureol-3 equatorial pass for two different days (top panels) and relevant RMS amplitude normalized by ambient electron density indicating the density fluctuations (bottom panels). Time in UT is also indicated along with geomagnetic latitude. The arrow in (a) indicates the time when the power spectral density in Fig. 2 is taken.

8 June pass. The arrow in Fig. 1a indicates the time of the above mentioned spectrum for the electron density fluctuation taken inside the ESF.

The density and electric field spectra obey a power law fairly well in the frequency range 6~100 Hz (lower portion of the frequencies in the figure). This frequency range corresponds to the spatial scale from 80 m to 1.3 km by assuming

<figure><img src="image_3.png" /></figure>

**Fig. 2.** Power spectra of the electron density (a) and horizontal electric field fluctuations, (b) inside the ionospheric turbulence (IT) to be associated with the ESF observed by the Aureol-3 satellite during the 8 June pass.

that the group velocity of irregularity is significantly smaller than the satellite velocity ~8 km/s. For this long wavelength, *E* and *δNe/Ne* have a same frequency or *k*-dependence. The spectral indices of electric and density fluctuations *α* defined by PSD ∝ *f*⁻*α* are equal to about 2. LaBelle et al. (1986) obtained the spectral density of about 2.5, both for electron density and electric field fluctuations for the spatial scale larger than 100 m at the altitude of 450 km by the rocket measurement. The spectral index they measure (~2.5) is larger than the value that we measure (~2). On the other hand, the
<figure><img src="image_4.png" /><figcaption>**Fig. 3.** Average spectral indices of the electron density (white) and electric field (shadowed) fluctuations inside the ESF for 5 different nights (20~22 LT) for the frequency from 6 Hz to 100 Hz. Error bars indicate the relevant standard deviations.</figcaption></figure>

proportionality between $\delta E$ and $\delta N_e/N_e$ is obtained during our measurement, as LaBelle et al. (1986) observed. It indicates that the Rayleigh-Taylor instability regime may work in theory (LaBelle et al., 1986). However, the observed spectral index varies from different rocket measurements. Kelley et al. (2002) show the power law spectra with the indices 1.92 and 1.72 for the electron density and the electric field, respectively, for the spatial scale larger than 100 m at the altitude 350 km, which are smaller than the index value we measure. Jahn and LaBelle (1998) reported the spectral index for electron density fluctuation as 1.7 and from 3 to 4 for the electric field fluctuation below 60 Hz (large spatial scale) at the altitude higher than 600 km. Kelley et al. (1987) reported the difference in the spectral index of electron density fluctuation between satellite and rocket measurements. This difference in the spectral index may be due to the difference in the horizontal (satellite) cuts through spread F turbulence versus vertical (rocket). In addition, the anisotropy in the electric field turbulence makes it very difficult to compare the power laws derived from different electric wave field components.

At a shorter spatial wavelength (from 8 m to 80 m), both spectra have clear characteristic breaks at the spatial scale around 80 m (100 Hz), and several peaks are recognized for the electric field and density spectra. It is then difficult to derive a spectral index behind those peaks. According to the previous report, using the waveform data from the Aureol 3, the peaks observed on the $E_H$ power spectrum in the frequency range 400–500 Hz in Fig. 1 correspond to the lower frequency cutoff of whistler waves (Lefeuvre et al., 1992). These peaks occupy a rather large area of the high frequency range. Therefore, we do not take into account this high frequency part and we will only consider the lower frequency part up to 100 Hz.

Mean values of spectral indices for 5 different equatorial passes are shown in Fig. 3. Again, the linear least-squares fit to the power spectra from each data window was performed by the selected spatial scale range (6 Hz to 100 Hz) in relation to the break in the spectra around 80 m. The mean spectral index for density fluctuations is in a range from 2.08 to 2.32,

while the mean slope value for the electric field is always smaller than that for density (from 1.56 to 1.98). The day-to-day difference of the mean spectral index may not be very large (mostly $\delta\alpha \sim 0.2$), and a positive correlation in the slope value between the electric field and density can be identified. The size of the error bars indicating the standard deviation of the spectral index within ESF may show the variability of the individual ESF event characteristics observed along the satellite trajectory. Taking into account the mean and the variability of the density and electric field fluctuations, we may conclude that the differences between the spectral indices for these two different physical parameters are in the range of error in the same pass.

## 3.2 Statistical study (filter bank data)

The horizontal electric field signals at six filter channels observed by the Aureol-3 satellite enable us to derive the power spectrum. These low-time resolution filter bank (FB) data are obtained over the entire Earth, in contrast to the data from high-time resolution density and electric field waveforms transmitted only around the telemetry stations that we have chosen for the case study. Therefore, we can use the FB data for the statistical study to derive the characteristics of the IT for low-to-mid latitudes during the mission operations over a period of 4 years or more.

Two main drawbacks for the analysis of the FB data in this telemetry mode are (1) no relevant electron density spectra, (2) a relatively low sensitivity of the electric field. Issue (1) concerns how we can derive the characteristics of IT from the electric field component. In our case study, a rather good correlation between the electric field and density fluctuation spectra has been found at the topside F region in the low-latitude ionosphere inside IT for the low-frequency range. Cerisier et al. (1985) reported that the spectral indices between density and horizontal electric field fluctuations are nearly identical within experimental errors in the high-latitude ionosphere by using high-time resolution Aureol-3 data. Hence, it is reasonable to assume that the spectral index for IT is identical to that obtained from the horizontal electric field for the first 3 low-frequency channels of the FB ($f<100$ Hz, the frequency allocation is described in Sect. 2). The typical latitudinal variation of the electric field power for the first 3 FB channels in the low-to-mid latitude range (Figs. 4c and d) barely exceeds the instrument noise level of the FB, represented by a flat line attributed to the low sensitivity of this equipment. To obtain a meaningful spectral index, we use the part of the electric field power of which the intensity is significantly larger than this background noise level, to be defined as a burst event.

The burst event is a structure with a remarkable increase in the electric field power along the vehicle trajectory that is identified by its intensity and orbital limitations. We use the following criteria for the burst identification: (1) The electric field power ($f<100$ Hz), using PSD integrated over 3 first FB channels, must be higher than the upper quartile plus 1.5 times the inter quartile range from the corresponding
<figure><img src="image_5.png" /><figcaption>**Fig. 4.** Examples of satellite orbits and observed burst events in the electric field. (a) Two satellite orbits (orbit 1 and 2) on 12 March 1982 and major seismic events near the orbits are marked by an asterisk (*), while the approximate location of the burst event in the trajectory is marked by a square. (b) Same format as (a) for the orbit 3 on 4 February 1982 but no major earthquake is detected and the burst is observed. (c) Horizontal electric field power variation along the orbit 2 shown in (a). The intensive burst observed around 35° N in the magnetic latitude with major earthquake nearby. (d) Same format as (c) but the burst event without major earthquakes. Orbit 1 has two major earthquakes nearby but no burst is observed.</figcaption></figure>

half orbits. This threshold value is generally used to find ex-
treme values, (2) the time duration of the observed burst must
be longer than 12.8 s, which corresponds to ~100 km in the
minimum spatial scale at the low altitude. The burst is then
fairly well captured above this threshold because most of the
time the energy level is around the instrument noise level, ex-
cept for the burst part indicating that the probability distribu-

tion of the energy in log scale does not obey a normal distri-
bution. Furthermore, (3) spatial constraints (satellite altitude
<900 km and -45°< magnetic latitude <45°) are applied to
limit the bursts related to the low-to-mid latitude IT, because
intensive electrostatic turbulence is observed in association
with the field-aligned density enhancement with ELF hiss in
the high-latitude ionosphere (Cerisier et al., 1985). Applying
<table><caption>**Table 1.** List of electric field burst events and related parameters (year, date, time, magnetic latitude, geographic longitude, electric field power, spectral index, and earthquake) used in the statistical study. “X” in the column of the earthquake means that the burst is associated with the seismic activities and no “X” is for the burst without seismic activity.</caption><thead><tr><th>Year</th><th>Month</th><th>Day</th><th>Hour</th><th>Min.</th><th>Sec.</th><th>Mlat. [deg]</th><th>Glon. [deg]</th><th>E power [dB]</th><th>Spectral index</th><th>Earthquake</th></tr></thead><tbody><tr><td>1981</td><td>10</td><td>2</td><td>14</td><td>22</td><td>40</td><td>-15.3</td><td>171</td><td>2.46</td><td>2.31</td><td>X</td></tr><tr><td>1981</td><td>11</td><td>4</td><td>9</td><td>50</td><td>52</td><td>43.5</td><td>9.5</td><td>18.21</td><td>2.35</td><td></td></tr><tr><td>1981</td><td>11</td><td>4</td><td>22</td><td>35</td><td>19</td><td>34.4</td><td>176</td><td>11.82</td><td>2.63</td><td>X</td></tr><tr><td>1981</td><td>11</td><td>8</td><td>21</td><td>24</td><td>45</td><td>36.7</td><td>187.1</td><td>8.82</td><td>2.47</td><td>X</td></tr><tr><td>1981</td><td>11</td><td>8</td><td>23</td><td>16</td><td>10</td><td>42.9</td><td>161.3</td><td>7.54</td><td>3.03</td><td>X</td></tr><tr><td>1981</td><td>11</td><td>9</td><td>1</td><td>4</td><td>38</td><td>42.5</td><td>133</td><td>19.13</td><td>2.57</td><td>X</td></tr><tr><td>1981</td><td>11</td><td>9</td><td>2</td><td>53</td><td>17</td><td>42.6</td><td>104.9</td><td>16.72</td><td>2.81</td><td></td></tr><tr><td>1981</td><td>11</td><td>10</td><td>20</td><td>50</td><td>20</td><td>41.9</td><td>193.6</td><td>8.11</td><td>2.83</td><td>X</td></tr><tr><td>1981</td><td>11</td><td>11</td><td>22</td><td>20</td><td>10</td><td>32.7</td><td>167.6</td><td>11.96</td><td>2.16</td><td></td></tr><tr><td>1981</td><td>11</td><td>12</td><td>9</td><td>17</td><td>48</td><td>41.2</td><td>3.6</td><td>12.29</td><td>2.42</td><td></td></tr><tr><td>1981</td><td>11</td><td>24</td><td>16</td><td>35</td><td>45</td><td>42.7</td><td>231.5</td><td>2.4</td><td>2.47</td><td></td></tr><tr><td>1981</td><td>11</td><td>26</td><td>17</td><td>50</td><td>34</td><td>44.1</td><td>210.8</td><td>1.04</td><td>2.45</td><td>X</td></tr><tr><td>1981</td><td>12</td><td>22</td><td>18</td><td>11</td><td>54</td><td>-37.9</td><td>341.2</td><td>8.47</td><td>2.72</td><td></td></tr><tr><td>1981</td><td>12</td><td>22</td><td>21</td><td>55</td><td>54</td><td>-41.5</td><td>294.5</td><td>3.55</td><td>2.3</td><td></td></tr><tr><td>1981</td><td>12</td><td>23</td><td>1</td><td>30</td><td>14</td><td>-43.6</td><td>232.2</td><td>0.62</td><td>2.22</td><td></td></tr><tr><td>1981</td><td>12</td><td>24</td><td>13</td><td>53</td><td>49</td><td>-43.6</td><td>40.7</td><td>6.03</td><td>2.88</td><td></td></tr><tr><td>1981</td><td>12</td><td>24</td><td>21</td><td>18</td><td>45</td><td>-41.9</td><td>301.3</td><td>13.17</td><td>2.62</td><td></td></tr><tr><td>1982</td><td>1</td><td>5</td><td>11</td><td>52</td><td>47</td><td>-33.9</td><td>47.5</td><td>19.38</td><td>3.31</td><td></td></tr><tr><td>1982</td><td>1</td><td>13</td><td>22</td><td>13</td><td>46</td><td>-43.5</td><td>245.4</td><td>2.24</td><td>1.86</td><td></td></tr><tr><td>1982</td><td>1</td><td>13</td><td>23</td><td>59</td><td>4</td><td>-37</td><td>214.5</td><td>16.03</td><td>2.33</td><td></td></tr><tr><td>1982</td><td>1</td><td>19</td><td>12</td><td>55</td><td>55</td><td>-44.5</td><td>9.6</td><td>17.95</td><td>3</td><td></td></tr><tr><td>1982</td><td>1</td><td>20</td><td>21</td><td>46</td><td>53</td><td>-40.2</td><td>237.9</td><td>9.08</td><td>2.21</td><td></td></tr><tr><td>1982</td><td>1</td><td>20</td><td>23</td><td>33</td><td>28</td><td>-36.4</td><td>208.6</td><td>14.3</td><td>2.01</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>21</td><td>1</td><td>22</td><td>3</td><td>-39.6</td><td>180.8</td><td>17.77</td><td>3.08</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>21</td><td>3</td><td>9</td><td>21</td><td>-37</td><td>152.4</td><td>14.17</td><td>2.82</td><td></td></tr><tr><td>1982</td><td>1</td><td>21</td><td>10</td><td>26</td><td>36</td><td>-39.2</td><td>42.7</td><td>16.48</td><td>1.85</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>21</td><td>12</td><td>16</td><td>49</td><td>-44.6</td><td>15.6</td><td>14.6</td><td>2.47</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>22</td><td>1</td><td>3</td><td>17</td><td>-41.2</td><td>184.2</td><td>20.4</td><td>3.28</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>22</td><td>2</td><td>50</td><td>36</td><td>-38.7</td><td>155.8</td><td>14.12</td><td>1.62</td><td></td></tr><tr><td>1982</td><td>1</td><td>22</td><td>11</td><td>57</td><td>26</td><td>-44.6</td><td>18.7</td><td>18.46</td><td>2.8</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>23</td><td>20</td><td>48</td><td>19</td><td>-35.9</td><td>246.8</td><td>0.77</td><td>1.88</td><td></td></tr><tr><td>1982</td><td>1</td><td>23</td><td>22</td><td>36</td><td>52</td><td>-39.6</td><td>218.8</td><td>18.8</td><td>2.28</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>24</td><td>0</td><td>23</td><td>32</td><td>-35.1</td><td>189.9</td><td>14.06</td><td>1.83</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>24</td><td>2</td><td>13</td><td>16</td><td>-43.6</td><td>162.7</td><td>10.71</td><td>2.29</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>25</td><td>21</td><td>58</td><td>31</td><td>-39.5</td><td>225.4</td><td>15.13</td><td>1.6</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>25</td><td>23</td><td>45</td><td>47</td><td>-37.7</td><td>196.7</td><td>0.02</td><td>2.08</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>26</td><td>10</td><td>38</td><td>26</td><td>-39.9</td><td>30.7</td><td>20.51</td><td>2.44</td><td></td></tr><tr><td>1982</td><td>1</td><td>26</td><td>21</td><td>39</td><td>58</td><td>-41.2</td><td>229.1</td><td>18.72</td><td>2.69</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>27</td><td>21</td><td>20</td><td>50</td><td>-41.7</td><td>232.5</td><td>13.34</td><td>1.8</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>27</td><td>23</td><td>7</td><td>58</td><td>-40.2</td><td>203.6</td><td>15.14</td><td>2.18</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>28</td><td>0</td><td>53</td><td>59</td><td>-32.9</td><td>174.5</td><td>12.18</td><td>1.83</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>28</td><td>2</td><td>40</td><td>44</td><td>-27</td><td>146.2</td><td>3</td><td>1.93</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>28</td><td>11</td><td>52</td><td>14</td><td>-44.7</td><td>11</td><td>10.75</td><td>3.24</td><td></td></tr><tr><td>1982</td><td>1</td><td>30</td><td>0</td><td>16</td><td>28</td><td>-37.6</td><td>181.5</td><td>16.74</td><td>2.08</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>30</td><td>16</td><td>48</td><td>28</td><td>-39.8</td><td>302.3</td><td>0.12</td><td>1.84</td><td>X</td></tr><tr><td>1982</td><td>1</td><td>31</td><td>23</td><td>39</td><td>20</td><td>-43.6</td><td>188.8</td><td>15.22</td><td>2.28</td><td></td></tr><tr><td>1982</td><td>2</td><td>1</td><td>1</td><td>26</td><td>46</td><td>-42.9</td><td>160.4</td><td>23.55</td><td>3.82</td><td></td></tr><tr><td>1982</td><td>2</td><td>2</td><td>23</td><td>0</td><td>23</td><td>-42.7</td><td>195.3</td><td>12.02</td><td>2.24</td><td></td></tr><tr><td>1982</td><td>2</td><td>3</td><td>0</td><td>47</td><td>47</td><td>-42</td><td>166.9</td><td>18.88</td><td>2.55</td><td></td></tr><tr><td>1982</td><td>2</td><td>3</td><td>2</td><td>32</td><td>8</td><td>-25</td><td>137.7</td><td>0.92</td><td>1.93</td><td></td></tr><tr><td>1982</td><td>2</td><td>3</td><td>6</td><td>13</td><td>50</td><td>-42.1</td><td>83.9</td><td>15.21</td><td>2.06</td><td></td></tr><tr><td>1982</td><td>2</td><td>3</td><td>20</td><td>50</td><td>3</td><td>-31.2</td><td>225.2</td><td>1.94</td><td>2</td><td></td></tr><tr><td>1982</td><td>2</td><td>4</td><td>2</td><td>13</td><td>2</td><td>-27.1</td><td>141.1</td><td>2.51</td><td>1.73</td><td></td></tr><tr><td>1982</td><td>2</td><td>24</td><td>9</td><td>31</td><td>22</td><td>43.5</td><td>183.3</td><td>8</td><td>2.1</td><td>X</td></tr><tr><td>1982</td><td>2</td><td>25</td><td>12</td><td>49</td><td>15</td><td>44.4</td><td>131.3</td><td>0.96</td><td>2.08</td><td>X</td></tr></tbody></table>
<table><caption>**Table 1. Continued.**</caption><tr><td>1982</td><td>2</td><td>26</td><td>12</td><td>29</td><td>20</td><td>44.5</td><td>134.8</td><td>9.97</td><td>2.75</td><td>X</td></tr><tr><td>1982</td><td>2</td><td>28</td><td>20</td><td>54</td><td>50</td><td>44</td><td>4.1</td><td>12.49</td><td>2.7</td><td></td></tr><tr><td>1982</td><td>3</td><td>12</td><td>9</td><td>33</td><td>29</td><td>36.5</td><td>153.6</td><td>10.31</td><td>2.76</td><td>X</td></tr><tr><td>1982</td><td>3</td><td>15</td><td>23</td><td>3</td><td>31</td><td>42.4</td><td>303.1</td><td>0.1</td><td>2.14</td><td></td></tr><tr><td>1982</td><td>3</td><td>16</td><td>0</td><td>51</td><td>38</td><td>42.7</td><td>275.1</td><td>18.72</td><td>2.62</td><td></td></tr><tr><td>1982</td><td>3</td><td>16</td><td>4</td><td>28</td><td>47</td><td>28</td><td>219.8</td><td>1.53</td><td>2.21</td><td></td></tr><tr><td>1982</td><td>3</td><td>17</td><td>0</td><td>29</td><td>19</td><td>34.9</td><td>277.8</td><td>10.42</td><td>2.77</td><td></td></tr><tr><td>1982</td><td>3</td><td>17</td><td>7</td><td>52</td><td>6</td><td>39.6</td><td>171.5</td><td>19.97</td><td>3.63</td><td>X</td></tr><tr><td>1982</td><td>3</td><td>18</td><td>0</td><td>7</td><td>46</td><td>30.8</td><td>280.9</td><td>9.74</td><td>2.37</td><td></td></tr><tr><td>1982</td><td>3</td><td>18</td><td>3</td><td>47</td><td>29</td><td>28</td><td>226.5</td><td>0.33</td><td>2.41</td><td></td></tr><tr><td>1982</td><td>3</td><td>18</td><td>20</td><td>15</td><td>44</td><td>44.1</td><td>342.8</td><td>9.61</td><td>2.11</td><td></td></tr><tr><td>1982</td><td>5</td><td>4</td><td>1</td><td>8</td><td>49</td><td>-44.6</td><td>12.1</td><td>8.06</td><td>2.74</td><td></td></tr><tr><td>1982</td><td>5</td><td>4</td><td>3</td><td>1</td><td>10</td><td>-43.6</td><td>349.8</td><td>17.88</td><td>0.86</td><td>X</td></tr><tr><td>1982</td><td>5</td><td>27</td><td>0</td><td>4</td><td>50</td><td>-40.5</td><td>347.9</td><td>17.65</td><td>2.18</td><td></td></tr><tr><td>1982</td><td>5</td><td>30</td><td>18</td><td>39</td><td>17</td><td>23.2</td><td>49.8</td><td>0.02</td><td>2.07</td><td></td></tr><tr><td>1982</td><td>6</td><td>2</td><td>19</td><td>36</td><td>38</td><td>-39.7</td><td>37.9</td><td>6.11</td><td>1.99</td><td></td></tr><tr><td>1982</td><td>6</td><td>4</td><td>20</td><td>41</td><td>0</td><td>-38.5</td><td>17.6</td><td>12.78</td><td>2.74</td><td></td></tr><tr><td>1982</td><td>6</td><td>4</td><td>22</td><td>34</td><td>50</td><td>-38.7</td><td>352.1</td><td>2.72</td><td>1.85</td><td></td></tr><tr><td>1982</td><td>6</td><td>6</td><td>9</td><td>5</td><td>55</td><td>-36.8</td><td>190.8</td><td>17.32</td><td>1.86</td><td>X</td></tr><tr><td>1982</td><td>7</td><td>26</td><td>4</td><td>31</td><td>59</td><td>42.1</td><td>356.4</td><td>4.68</td><td>1.84</td><td></td></tr><tr><td>1982</td><td>8</td><td>19</td><td>0</td><td>59</td><td>8</td><td>40.5</td><td>8.3</td><td>0.92</td><td>1.75</td><td></td></tr><tr><td>1982</td><td>9</td><td>29</td><td>23</td><td>8</td><td>43</td><td>-40.8</td><td>299.5</td><td>1.39</td><td>1.74</td><td></td></tr><tr><td>1982</td><td>10</td><td>17</td><td>10</td><td>11</td><td>35</td><td>36.3</td><td>297.1</td><td>6.93</td><td>-0.1</td><td></td></tr><tr><td>1982</td><td>12</td><td>10</td><td>3</td><td>11</td><td>26</td><td>43.8</td><td>142.2</td><td>12.4</td><td>2.99</td><td></td></tr><tr><td>1983</td><td>1</td><td>4</td><td>0</td><td>25</td><td>34</td><td>34.3</td><td>138.6</td><td>2.94</td><td>2.19</td><td></td></tr><tr><td>1983</td><td>1</td><td>7</td><td>17</td><td>16</td><td>59</td><td>24.2</td><td>235.7</td><td>0.12</td><td>2.56</td><td></td></tr><tr><td>1983</td><td>1</td><td>7</td><td>19</td><td>10</td><td>20</td><td>37</td><td>210.3</td><td>4.54</td><td>2</td><td></td></tr><tr><td>1983</td><td>2</td><td>14</td><td>15</td><td>42</td><td>41</td><td>-44.8</td><td>17.2</td><td>0.12</td><td>2.37</td><td></td></tr><tr><td>1983</td><td>3</td><td>10</td><td>15</td><td>1</td><td>49</td><td>-41.3</td><td>350.4</td><td>15.77</td><td>1.56</td><td></td></tr><tr><td>1983</td><td>3</td><td>10</td><td>16</td><td>48</td><td>19</td><td>-30.1</td><td>320.8</td><td>2.78</td><td>1.86</td><td></td></tr><tr><td>1983</td><td>4</td><td>6</td><td>21</td><td>55</td><td>10</td><td>-36.5</td><td>195.2</td><td>0.16</td><td>1.73</td><td></td></tr><tr><td>1983</td><td>4</td><td>19</td><td>10</td><td>21</td><td>22</td><td>43.6</td><td>171.1</td><td>2.07</td><td>2.48</td><td></td></tr><tr><td>1983</td><td>5</td><td>19</td><td>23</td><td>2</td><td>25</td><td>44.2</td><td>283.8</td><td>6.12</td><td>3.52</td><td></td></tr><tr><td>1983</td><td>5</td><td>23</td><td>23</td><td>8</td><td>50</td><td>41.9</td><td>275</td><td>12.61</td><td>2.6</td><td></td></tr><tr><td>1983</td><td>5</td><td>25</td><td>22</td><td>18</td><td>24</td><td>42.5</td><td>284.4</td><td>6.34</td><td>3.45</td><td></td></tr><tr><td>1983</td><td>9</td><td>7</td><td>6</td><td>28</td><td>6</td><td>31.4</td><td>343.2</td><td>0.03</td><td>2.21</td><td></td></tr><tr><td>1983</td><td>9</td><td>10</td><td>9</td><td>18</td><td>38</td><td>15.5</td><td>106.9</td><td>0.09</td><td>2.53</td><td></td></tr><tr><td>1983</td><td>9</td><td>10</td><td>12</td><td>24</td><td>59</td><td>43.3</td><td>248.4</td><td>2.95</td><td>2.98</td><td></td></tr><tr><td>1983</td><td>12</td><td>14</td><td>8</td><td>1</td><td>36</td><td>-37.8</td><td>335.9</td><td>14.94</td><td>2.7</td><td></td></tr><tr><td>1984</td><td>11</td><td>28</td><td>10</td><td>25</td><td>49</td><td>41.3</td><td>231.9</td><td>1.67</td><td>2.16</td><td></td></tr><tr><td>1985</td><td>3</td><td>25</td><td>20</td><td>45</td><td>36</td><td>41.6</td><td>234.4</td><td>15.46</td><td>2.02</td><td></td></tr></table>

this condition, we may exclude the bursts that have a high-latitude origin.

A total of 96 burst events are found after a careful examination of each half-orbit cursory selected by the above-mentioned criteria. Basic parameters of burst events are summarized in Table 1. Periodical gaps in the data in the latitudinal variation of the electric field power in Figs. 4c and d are due to the internal calibration process of the instrument and they are removed from the original data. Bursts are seen in the wide latitudinal ranges, although they often occur in the mid-latitude side ($20° < absolute value of magnetic latitude < 40°$) rather than the equatorial region, as it is seen in the two examples. Longitudinal locations of the bursts (Fig. 5) are rather uniformly distributed, except for a remarkable decrease in the event numbers between 60° to 120°. This decrease

in the number of events is due to the reduced number of orbits at this location. We have generated the longitudinal distributions of the number of half orbits used and burst orbits among half orbits (not shown). As a result, there is a remarkable decrease ($\sim 30\%$ from mean value) in the number of available orbits in the longitude ranging from 60° to 120°. Figures 4a and b show the satellite trajectory in the magnetic latitude and geographic longitude coordinates. Locations of peak intensity of ionospheric bursts are marked by squares, and asterisks in Fig. 4a represent epicenters of major seismic events around the half orbits. The principal parameters of those seismic events are summarized in Table 2.

All seismic orbits used in the statistical study are chosen under the spatial and temporal conditions, which are: 1) $M > 5.5$, 2) $Δmlong < 15°$ with ionospheric burst, and
<table><caption>**Table 2.** Principal parameters of three seismic events (EQ 1 to EQ3) around the orbits 1 and 2 shown in Fig. 4a.</caption><thead><tr><th></th><th>1</th><th>2</th><th>3</th></tr></thead><tbody><tr><td>Date and Time</td><td>3 August 1982, 15:16 UT</td><td>3 November 1982, 10:32 UT</td><td>3 November 1982, 23:40 UT</td></tr><tr><td>Magnitude</td><td>5.6</td><td>6.1</td><td>5.7</td></tr><tr><td>Depth</td><td>33 km</td><td>33 km</td><td>10 km</td></tr><tr><td>Coordinate (Magnetic latitude)</td><td>45.14</td><td>-20.17</td><td>3.12</td></tr><tr><td>Coordinate (Magnetic longitude)</td><td>159.8</td><td>118.4</td><td>123.5</td></tr><tr><td>Elapsed time from earthquake (day)</td><td>3.75</td><td>1.03</td><td>0.24</td></tr></tbody></table>

<figure><img src="image_6.png" /><figcaption>**Fig. 5.** Latitude-longitude distribution of the ELF electric field bursts (FB).</figcaption></figure>

3) $\Delta Day < 5$ days.

For the first condition, we use the CD-ROM of the seismic catalogue by NGDC (National Geophysical Data Center) which includes major seismic events from 1964 to 1995 covering the period of our statistical analysis, and we extract all seismic events with a magnitude, $M$, larger than 5.5 and with a depth smaller than 100 km during the observation period of Aureol 3. The determination accuracy of an epicenter varies event by event, but it will be within a few degrees, which is much smaller than the spatial condition (2).

Secondly, in accordance with the condition (2), we define $\Delta m_{long}$ as the difference of geomagnetic longitude between the epicenter and the satellite track. We examine each half orbit which contains the ionospheric burst and seismic event where the geomagnetic longitude of the epicenter is located at less than 15° from the satellite track.

A third condition is related to the timing of the earthquake; the seismic events satisfying condition (2) should occur $\pm 5$ days (delay or precedence from the earthquake time) from the passage of the satellite.

Our timing and location criteria mentioned above are similar to the previous work for the ionospheric turbulence with seismic activity performed with the Intercosmos 24 satellite data (Molchanov et al., 2002b). Due to the limited number of orbits with burst events during our observation period (totally 96 events), increasing the magnitude threshold decreases significantly the number of burst orbits and deteriorates the accuracy of the statistical parameters, such as the mean value. On the other hand, decreasing the magnitude increases the number of seismic orbits but it is difficult to determine causative earthquakes (many earthquakes can satisfy the criteria for each half orbit). Our criteria are chosen to avoid the significant overlapping of the seismic events, either in space or in time coordinates.

Representative electric field power and relevant spectral index are calculated for each burst event. The field power is obtained by averaging the data points in largest intensity within 12.8 s, which corresponds to 5 data points for ZAP4. The associated spectral index is derived by the linear least-squares fit procedure using averaged values of the output from each FB channel up to 100 Hz (the frequency allocation of the filter bank is given in Sect. 2).

Figures 6a and b are the bar graphs displaying the results from statistical analysis, including 96 burst events for spectral indices and burst intensities, respectively. The number at the top of each bar indicates the number of burst events included. The height of the bar represents the mean value calculated from the events in the bin. The confidence intervals with 95% for different bins, either for the spectral index or electric field power, are calculated based on the Gaussian distribution by using the mean value, standard deviation and number of samples for each group, which are indicated as error bars in Fig. 6. One can find the method to calculate the confidence interval in Bendat and Piersol, 1971. The analysis for each parameter is performed for different seasons and local times. One year is separated by two groups of time periods, which are spring (March to May) and autumn (September to November), and summer (June to August) and winter (December to February). Three different local time periods are examined: morning and evening (3 to 9 LT and 15 to 21 LT), day (9 to 15 LT), and night (21 to 3 LT). We also separate the events between seismic (dark bars) and noseismic (white bars) orbits. Furthermore, since large geomagnetic activity can affect the generation of the AGW in the middle latitude, we have examined the effect of the geomagnetic activity on the ionospheric bursts related to the earthquakes. The mean and standard deviation of sum $K_p$ index are calculated $\pm 5$ days from each ionospheric burst. Mean value of $K_p$ is 22.6, with a standard deviation of 4.1 for the burst with seismic events while the mean of 22.2 and a standard deviation of 5.4 are obtained for the bursts without seismic
<table><caption>**Table 3.** The probability to have different parent distributions between seismic and non seismic periods corresponding to the groups in Figure 6(a) and 6(b).</caption><thead><tr><th></th><th>Spring and Autumn</th><th>Summer and Winter</th><th>Morning and Evening</th><th>Day</th><th>Night</th><th>All</th></tr></thead><tbody><tr><th>Spectral index</th><td>0.55</td><td>0.67</td><td>0.55</td><td>0.05</td><td>0.5</td><td>0.094</td></tr><tr><th>Electric field power</th><td>0.7</td><td>0.82</td><td>0.61</td><td>0.38</td><td>0.45</td><td>0.93</td></tr></tbody></table>

<figure><img src="image_7.png" /><figcaption>**Fig. 6.** Seasonal and local time dependence of the averaged (a) spectral index and (b) electric field power of the burst events. Shaded bins represent the bursts with major seismic activities and white bins are for the bursts without seismic activity. Error bars indicating the 95% confidence interval for each bin are calculated by using Gaussian distribution. Very large confidence intervals for groups (morning and evening, and nighttime) for seismic events are mainly due to the small number of events in the bin.</figcaption></figure>

activity. According to the statistical test with the Gaussian distribution, the probability of having a statistical difference in the mean $K_p$ value between the bursts with and without earthquakes in our data set is 22%. Hence, the effect of $K_p$ on the seismic and non-seismic period is not significant. Seasonal and local time variations of the mean spectral index shown in Fig. 6a, together with error bars indicate that the indices are fairly stable $\alpha \sim 2.3$ and the difference in values falls in the error range. For two cases with small event numbers (4 events for morning or evening with seismic events, and 5 events for nighttime with seismic events), confidence intervals for these events are rather large (1.28 and 1.24, respectively) due mainly to the small number of events. Indices between seismic and non-seismic events show neither a significant difference nor clear systematic dependence on seasons and LT, because the probabilities of having different

parent distributions for any sub-groups do not exceed 67% (Table 3). This leads to the remarkable similarity between the two indices shown in the upper right corner representing the average values grouped by all seismic and non-seismic events (The probability that the mean values belong to different parent distributions is of $\approx 9\%$ only). None of the 6 different pairs in Fig. 6a indicate the remarkable statistical difference of mean value. However, one should keep in mind that the EA starts after sunrise and vanishes after midnight, while ESF is predominantly observed in the nighttime period. The similarity in the index between different local time periods indicates that the ionospheric turbulence developing near the magnetic equator and the outer slope of the equatorial anomaly crest has a similar physical nature, even if they have different primary seeding processes. Accordingly, a rather good consistency of the slope value may suggest that the similar type of generation mechanism may be connected to the observed bursts (then to the IT) for all seasons and LT. Moreover, the average value $\alpha \sim 2.3$ falls in the range of the indices obtained for the IT inside the ESF in the case study and thus the contribution from the Rayleigh-Taylor instability in the long wavelength as a primary source might be anticipated for the observed burst events in the statistical study. In addition, the IT in the high altitude ionosphere can also be possible when the IT in the E-layer propagates upward by the transformation of atmospheric turbulence intensified by the tide, neutral wind, and severe weather conditions, etc.

As for the intensity variations (Fig. 6b), a rather large variability in the electric field power of the bursts is revealed. The error bars representing the confidence interval are calculated by the same procedure taken for the spectral index (using a Gaussian distribution with a level of confidence of 0.05). The very large confidence interval for the event in two groups (morning and evening, and nighttime) is due to the small number of events in the bin. Except for these cases, relatively large variability may suggest that the burst intensity is highly variable between the cases in nature. Other several possible reasons to explain this large variability may exist. Firstly, the satellite may not pass through the region of maximum intensity because of the longitudinal separation of the orbits, which leads to an underestimation of the peak intensity. This effect also depends on the spatial scale of the burst. Secondly, the true distribution of the power might have a noticeable departure from the Gaussian distribution, and a simple standard deviation is not a suitable parameter to describe the variability. Indeed, the histograms shown in Fig. 7b may hint at the possible reason for this large variability.
<figure><img src="image_8.png" /><figcaption>Fig. 7. Probability distributions of (a) spectral index and (b) electric field power of the electric field bursts. Solid lines represent all events, dotted lines are for bursts with major seismic activities, and dash dotted lines are for bursts without seismic activities.</figcaption></figure>

ity. The distribution for the electric field power of bursts is derived by the same method and groups as that used for the spectral index (Fig. 7a). Note that the occurrence probability has two enhanced intensity ranges, (1) 0 dB to 5 dB and (2) 8 dB to 20 dB, and does not perfectly obey the Gaussian distribution for all three groups, which might lead to a large variance.

For any case, a much larger event number is necessary for an accurate determination of the distribution function. Thus, we found it difficult to statistically prove the difference in

the mean values between the different seasonal and local time conditions because of the overlapping of confidence intervals for the different groups. Nonetheless, if we use a smaller confidence for each bin, the following remarks can be made.

First of all, a larger mean electric field power is found in association with a higher occurrence probability of bursts in the daytime in comparison with other local time periods. This tendency is opposed to the higher occurrence rate such as that in the ESF. However, a relatively large-scale density gradient structure and associated electric field can exist in the low to mid-latitude ionosphere in the dayside despite the rapid production and recombination rate such as the EA.

Second, the large intensity bursts are preferably observed in the northern summer and winter rather than in the spring and autumn. The difference in mean power is about 2 dB.

In relation to the seismic and non-seismic periods, the mean values for the seismic periods for any group are larger than those for the non-seismic periods (Fig. 6b), but one has to consider carefully the difference in mean values based on the statistics. The probability of having different mean values between the seismic and non-seismic periods, based on the Gaussian distribution, was calculated for the electric field power of the bursts (Table 3). The probability for the electric field burst is larger than that for the spectral index in any group. Among the sub-groups (seasons and LTs), the summer and winter group has the largest probability (82%) of having a different mean value. Hence, none of sub-groups indicate a significant statistical difference (e.g. a confidence level larger than 90%), which means that the difference in the mean electric field power between the seismic and non-seismic events is not statistically proven for each season or LT. However, the group which contains all events (32 seismic events and 64 non-seismic events, shown in the right-hand side group in Fig. 6b) reveals a statistical difference in the mean value between the seismic and non-seismic events for the 93% confidence. The mean value of burst electric field power associated with the seismic events is larger than that without seismic activity by ~4 dB in this case. The distribution of the occurrence probability of the burst electric field power shown in Fig. 7b may support this tendency. The probability for the bursts associated with major seismic events increases for larger power (from 10 dB to 20 dB) and decreases for smaller power (from 0 dB to 8 dB), in comparison with the burst without major earthquakes. This large burst power related to seismic activity can be connected to the robust ionospheric turbulence.

Several effects linked to the seismic activity can contribute to the IT. The first are the emissions of aerosols (radioactive gas or metallic ions) which are well known before earthquakes (see the review by Toutain and Baubron (1998) who listed various measurements of geochemical precursors including radon). The transportation to ionospheric layers is due to atmospheric turbulence and thermospheric winds. There is an increase of the atmosphere conductivity, a penetration of the electric fields and an ion acceleration. This leads to anomalous electric field generation, plasma instabilities, and the generation of waves at various frequencies (Pu-
linets et al., 1994). The second effect is related to the ground surface thermal anomalies (Tramutoli et al., 2001; Tronin, 2002; Tronin et al., 2002) which appear several days before strong earthquakes in the earthquake preparation area, and the latent heat anomalies also discovered with the help of remote sensing techniques in the earthquake preparation zone (Dey and Singh, 2003). These two effects generate AGW whose effect may be important because as far as they propagate, the AGW amplitude increases due the decrease in the atmospheric density. They can trigger small-scale turbulence (E-field oscillations) due to plasma inhomogeneity (Molchanov et al., 2001, 2002a, 2004ab; Miyaki et al., 2002). Quantitative estimates of AGW initiation due to temperature variations observed both on the ground and from satellites (IR radiation) are reported by Molchanov (2004a).

## 4 Conclusions

The electron density and horizontal electric field data observed at high-altitude ionosphere by the Aureol-3 satellite have been analyzed to investigate the ionospheric turbulence with approximate frequency range 6 Hz to 100 Hz (spatial scales from 80 m to 1.3 km).

Simultaneous recording of high-time resolution waveform data, both for the density and electric field for successive days, allows us to investigate the temporal dependence of the power spectral density in the ionospheric turbulence within the ESF at the altitude range 400 km~550 km. We obtained the following remarks: (1) In the low-frequency range ($f<100$ Hz), each power spectrum obeys fairly well a single power law, and the mean spectral indices are $\alpha_N=2.2\pm0.3$, $\alpha_E=1.8\pm0.2$ for the density and electric field, respectively. These observed spectral indices fall in the range of the ones previously reported, (2) the similarity in index between the electron density and the electric field ($\alpha_N$ and $\alpha_E$) implies that the Rayleigh-Taylor instability regime might work in this long wavelength, as it was suggested in previous works, (3) observed spectral indices are rather stable and have a positive correlation between density and electric field for different days. This suggests the fact that those two parameters are closely connected in relation to the relevant instability process.

Low-time resolution electric field data recorded over the entire Earth by the filter bank system are used to characterize the seasonal and local time dependence of the ionospheric turbulence (IT) by assuming similar properties between the density and electric field fluctuations seen in the case study. The averaged spectral index of the low frequency portion ($f<100$ Hz) for the 96 electric field events observed at low-to-mid latitudes are found to be stable and they do not depend on seasons and on local times. This indicates that the wave number spectra of the IT at the satellite altitude (>400 km) are nearly identical, even in the case where the primary seeding energy source and possible instability mechanisms might be different. The averaged electric field power ($f<100$ Hz) of the ionospheric bursts has a large variability,

and the statistical difference of mean values between the different seasons and LTs is not identified. However, relative increases in mean values for summer, winter and daytime are seen. According to the simple statistical test, the mean values of spectral index between seismic and non seismic bursts are not statistically different (the probability of having different parent distributions is smaller than 0.67). On the contrary, the mean value of the electric field power for the seismic bursts is larger than that for non-seismic bursts with 93% confidence. This difference of mean values between seismic and non-seismic groups is statistically proven when all bursts are taken into account. However, the statistical differences for any sub-groups (different seasons and LTs) are not large (the probability of having different distributions is smaller than 0.8). Hence, the effect of seismic events on the electric field power of the ionospheric bursts is still inconclusive. For more accurate investigation, it is highly desirable to increase the number of burst events with the simultaneous recording of the density and electric field, together with the influence of major sources of IT rather than increasing seismic activities, such as the tide, severe weather, and volcanic activities, which we did not take into account in this paper. The future low altitude satellite like DEMETER (Parrot, 2002) is one of the ideal missions to resolve this unclear issue.

*Acknowledgements.* This work is supported by ISSI (International Space Science Institute) in Bern, Switzerland under the project 45. Authors would like to thank C. Béghin and D. Lagoutte for the useful discussion and the CDPP (Centre de Données de la Physique des Plasmas) for the Aureol-3 data.

Topical Editor M. Lester thanks two referees for their help in evaluating this paper.

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