A&A 369, 1104-1111 (2001)
DOI: 10.1051/0004-6361:20010200
M. Karlický1 - Y. Yan2 - Q. Fu2 - S. Wang2 - K. Jiricka1 - H. Mészárosová1 - Y. Liu2
1 -
Astronomical Institute of the Academy of Sciences of the Czech Republic,
25165 Ondrejov, Czech Republic
2 -
Beijing Astronomical Observatory/National Astronomical Observatories,
Chinese Academy of Sciences, Beijing 100012, PR China
Received 10 November 2000 / Accepted 24 January 2001
Abstract
The 0.8-7.6 GHz global and detailed radio spectra of the four
most intense flares observed in the NOAA 9077 active region (July 10-14,
2000) are presented. The radio bursts of these flares and their sequence
reveal features indicative of topological similarities among the flares
under study. The drifting pulsation structures were found to be the
typical signatures of these flares. Furthermore, many other fine
structures such as narrowband drifting lines, drifting harmonic structure
with zebra patterns, drifting branches of narrowband dm-spikes, and
structures with fast positively and negatively drifting bursts are shown
in the context of the whole radio flares. Some of them were observed for
the first time. The relationships among them and the resulting
interpretations are summarized. The characteristic periods of the drifting
pulsation structures and the magnetic field in the zebra radio source are
determined.
Key words: Sun: activity - Sun: flares - Sun: radio radiation
The NOAA 9077 active region appeared on the visible solar disc from July
7, 2000 till July 21, 2000. During its evolution, in the time interval of
July 10-15, 2000 this active region was in the
magnetic field
configuration and strong flare activity in this region was recorded (3
X-class and 6 M-class solar flares). This period was very rich in
interesting radio bursts and fine radio spectral structures, especially in
the 0.8-7.6 GHz observing range. Moreover, the flares in this region were
topologically similar. These events provide an opportunity to understand
the role of some specific fine structures in the context of the whole
flare process. For example, the drifting pulsation structure recorded
recently at frequencies above 1 GHz (Kliem et al. 2000) are of special
interest to us. According to our knowledge and to expectations of other
authors (e.g. Bastian et al. 1998) the 0.8-7.6 GHz frequency range
corresponds to frequencies at which the plasma emission from the flare
primary-energy release processes can be observed. Therefore, using
observations at these frequencies of the four most important flares (July
10, 21:42 UT, M5.7/2B; July 11, 13:10 UT, X1.1/2N; July 12, 10:37 UT,
X1.9/2B; July 14, 10:24 UT, X5.7/3B) of the same active region NOAA 9077,
we look for signatures of processes close to the primary energy release
site. We are especially interested in those dynamic phenomena which induce
shocks and beams and which are on the radio spectra indicated by frequency
drifts (Kundu 1965; Krüger 1979; Bastian et al. 1998).
In the following, the radio observations of four NOAA 9077 AR flares are presented and some unique examples shown (for comparison in the 1-3 GHz range, see also the catalogue made by Isliker & Benz 1994). The radio spectra of these flares are then compared, looking for their typical aspects. Possible interpretations of the observed bursts are summarized, characteristic periods of the drifting pulsation structures determined and the magnetic field intensity estimation made. The roles of the analyzed radio bursts in the whole flare process are discussed.
The observations were performed by the Solar Radio Broadband Fast Dynamic Spectrometers (1-2, 2.6-3.8, and 5.2-7.6 GHz frequency range) at Huairou Solar Observing Station of Beijing Astronomical Observatory (Fu et al. 1995), and by the 0.8-2, 2-4.5 GHz radiospectrographs at the Ondrejov Observatory (Jiricka et al. 1993).
The July 10, 2000 flare classified as M5.7/2B was observed at 21:05 - Max 21:42 - 22:27 UT in the NOAA 9077 active region at position N19E49. Topologically the flare is a two-ribbon flare (Solar Image Index - Space Environment Center). In connection with this flare a coronal mass ejection and type II and type IV radio bursts were reported (NOAA Solar Events Report). At the Beijing Observatory this flare was observed at times after 21:57 UT, which means that the beginning of this flare was not observed. Nevertheless, a very strong radio burst was observed at 21:58-22:48 UT. It is in agreement with the 2.8 GHz Hiraiso observation showing the start of the flare impulsive phase at 22:00 UT. Just before this radio burst a drifting pulsation structure (DPS) in the 1.0-1.8 GHz frequency range at 21:59:36-21:59:47 UT was recorded (Fig. 1).
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Figure 1: The 1-2 GHz left and right polarization and degree of polarization radio spectra with drifting pulsation structure observed on July 10, 2000 by the Beijing radiospectrograph (the black colour in the degree of polarization spectrum corresponds to the right polarization) |
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Figure 2: The 5.2-7.6 GHz radio spectrum (right polarization) with a group of fast positively and negatively drifting bursts observed on July 10, 2000 by the Beijing radiospectrograph |
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The global mean frequency drift and instantaneous bandwidth of the DPS are -60 MHz s-1 and 200 MHz, respectively. The zero polarization of this DPS was found (Fig. 1, bottom part). Furthermore, prior to the DPS a group of fast positively and negatively drifting bursts (V-structure) was observed at 21:58:17.0-21:58:18.6 UT in the 6.4-7.6 GHz range (Fig. 2). The frequency drifts of these fast drift bursts are in the 25- -60 GHz s-1 range.
The July 11, 2000 flare classified as X1.1/2N was observed at 12:12 - Max 13:10 - 13:35 UT in the NOAA 9077 active region at position N18E27. Topologically the flare is a two-ribbon flare (Solar Image Index - Space Environment Center). In connection with this flare the a coronal mass ejection was reported (NOAA Solar Events Report). The flare impulsive phase recorded at 3 GHz consists of two pulses at 12:28 and 12:30 UT. The overview of the 1-2 GHz radio emission of this flare is shown in Fig. 3.
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Figure 3: The 0.8-2.0 GHz overview radio spectrum with drifting boundary of a continuum observed on July 11, 2000 by the Ondrejov radiospectrograph |
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Figure 4: The 2.0-4.5 GHz radio spectrum with drifting patches observed on July 11, 2000 by the Ondrejov radiospectrograph |
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Figure 5: The 0.8-2.0 GHz radio spectrum with drifting branches of narrowband dm-spikes observed on July 11, 2000 by the Ondrejov radiospectrograph |
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At 12:28:38-12:28:50 UT in the 0.8-2.0 GHz range a weak drifting pulsation
structure was observed. The mean drift and instantaneous bandwidth of this
DPS are -50 MHz s-1 and 700 MHz, respectively. On higher frequencies
drifting patches can be seen at 12:45:30-12:46:20 UT in the 2.7-3.2 GHz
range (Fig. 4). Their mean drift is -30 MHz s-1. Then the intensity
of the radio burst was increasing and pulses of the radio emission were
recorded at 12:43-12:50, 12:57-13:08, and 13:13-13:21 UT. Here, a
continuum with drifting boundaries can be seen at 12:57:30-13:02:00 in the
1.0-2.0 GHz range, and at 13:04-13:07 UT in the 1.05-1.3 GHz range. Their
frequency drifts are -3.7 and -1.4 MHz s-1, respectively. With a
higher time resolution these bursts reveal short-lasting pulsations (the
characteristic period is 0.4 s) and occasional fiber bursts in the
0.8-1.0 GHz range. The drift of the fiber bursts is -33 MHz s-1. This
part of flare ends with a group of narrowband dm-spikes at
13:25:40-13:27:40 UT, in the 1.0-1.8 GHz range (Fig. 5). As it can be
seen, especially at the end, these spikes are organized in two branches
(bandwidth
300 MHz), slowly drifting towards lower frequencies. The
frequency drift of the branches is
-6 MHz s-1.
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Figure 6: The 0.8-4.5 GHz overview radio spectrum with a drifting pulsation structure observed on July 12, 2000 by the Ondrejov radiospectrographs |
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The July 12, 2000 flare classified as X1.9/2B was observed at 10:18 - Max
10:37 - 10:46 UT in the NOAA 9077 active region at position N17E27; its
impulsive phase started at 10:30 UT (NOAA Solar Events Report). Topologically
the flare is a two-ribbon flare (H
Meudon Observatory image). The
overview of the 1-4.5 GHz radio emission of this flare is shown in Fig. 6.
The radio emission of this flare started by a DPS (the durations of individual main pulses in the DPS are several tens of seconds) at 10:31-10:39 UT in the 0.8-4.5 GHz frequency range. The global frequency drift decreases with the frequency decrease. For example, in the 1.0-1.5 GHz range it is -5 MHz s-1 at the beginning of the DPS, and -3 MHz s-1 at its end. The instantaneous bandwidth of this DPS is greater than 1 GHz. The upper frequency part (2-4.5 GHz) of this DPS is similar to that of the 1-2 GHz continuum with drifting boundaries observed during the July 11, 2000 flare at 12:57:30-13:07:00 UT (see Fig. 3). At the maximum of the impulsive phase of this flare, at 10:34:10-10:35:05 UT, in the 0.8-1.8 GHz frequency range, a group of narrowband dm-spikes followed by a very narrowband drifting line was observed (Fig. 7).
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Figure 7: The 0.8-2.0 GHz radio spectrum with a group of narrowband dm-spikes and a drifting line observed on July 12, 2000 by the Ondrejov radiospectrograph |
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The spikes are in this case organized in pulses (their duration is several
seconds) and clouds; some of them are drifting. The unique drifting line with a
narrow bandwidth (20 MHz) started at 10:34:53 UT, at 1.34 GHz and ended
at 10:35:03 UT, at 1.2 GHz, i.e. its frequency drift is -14 MHz s-1. Then,
at 10:35:45-10:36:45 UT in the 2.2-3.0 GHz range and at 10:35:53-10:36:45 UT in
the 1-1.4 GHz, i.e. in the harmonic ratio 1:2, two unique narrowband (
300 MHz) drifting continua branches with drifting lines and zebra patterns were
recognized (Fig. 8) (see also very narrowband line which connect zebra
structures at 10:36:09-10:36:13 UT in the 2.7-2.9 GHz range).
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Figure 8: The 0.8-4.5 GHz radio spectrum with a drifting zebra and drifting lines observed on July 12, 2000 by the Ondrejov radiospectrographs |
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The global mean drift is -6 MHz s-1 for the low frequency branch and -12 MHz s-1 for the harmonic branch, respectively, but some parts have faster drift, e.g. the line in the low frequency branch which started at 10:35:53 UT, 1.4 GHz and ended at 10:36:14 UT, 1.15 GHz (the drift is -12 MHz s-1). Zebra patterns with two lines in the low frequency branch and with four distinct lines in the harmonic branch were found. In both cases these lines are drifting. It is important to note that the ratio of the zebra line frequencies decreases with the frequency decrease. At 10:36:20 UT, the frequencies of the zebra lines are f1 = 2511 MHz, f2 = 2398 MHz, f3 = 2307 MHz, and f4 = 2250 MHz. Thus, the ratios are: f1/f2 = 1.047, f2/f3 = 1.039, and f3/f4 = 1.025. After this phase of the flare another burst at 10:43-10:51 UT in the 1-2 GHz range consisting of broadband pulses (their duration is several tens of seconds) was observed. The flare ended with a group of narrowband dm-spikes at 10:53:30-10:54:30 UT in the 0.8-1.5 GHz range. On even higher frequencies the flare was accompanied by a broadband continuum in which a group of fast drifting type III-like bursts was found at 10:35:40-10:35:44 UT (i.e. just before the zebra pattern observation) in the 5.2-7.6 GHz frequency range (Fig. 9). Their frequency drift is -48 GHz s-1.
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Figure 9: The 5.2-7.6 GHz right polarization and degree of polarization radio spectra with fast drifting bursts observed on July 12, 2000 by the Beijing radiospectrograph (the black colour in the degree of polarization spectrum corresponds to the right polarization) |
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Figure 10: The 0.8-4.5 GHz overview radio spectrum with a drifting continuum observed on July 14, 2000 by the Ondrejov radiospectrographs |
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The July 14, 2000 flare classified as X5.7/3B was observed at 10:03 - Max 10:24 - 10:43 UT in the NOAA 9077 active region at position N22W07. Topologically the flare is a two-ribbon flare (Solar Image Index - Space Environment Center). In connection with this flare a coronal mass ejection, a type II burst, moving type IV radio bursts and relativistic protons were reported (NOAA Solar Events Report). The overview of the 1.0-4.5 GHz radio emission of this flare is shown in Fig. 10.
The radio emission of this flare started at 10:05 UT by a broadband pulsations (0.8-4.5 GHz) intensity of which was increasing. Then at 10:24-10:25 UT in the 0.8-3.0 GHz range a fast drift burst was observed. Its drift was determined as -240 MHz s-1. After this burst a drifting pulsation continuum appeared at 10:27-10:35 UT in the 0.8-1.5 GHz range. Its drift is -3.3 MHz s-1 and its instantaneous bandwidth is greater than 1 GHz. The upper frequency part (2.7-4.5 GHz, at 10:24:10:32 UT) of this DPS is similar to that of the 1-2 GHz continuum with drifting boundaries observed during the July 11, 2000 flare at 12:57:30-13:07:00 UT (see Fig. 3). The DPS was accompanied by a strong radio flux peak on 3 GHz at 10:25-10:33 UT (the flare impulsive phase). In the further phase two pulses were observed at 10:42-10:45 UT and 10:46-11:00 UT in the 0.8-1.5 and 0.8-1.7 GHz range, respectively. Both these pulses consisted of fiber bursts on lower frequencies, having frequency drifts in the -80 - -40 MHz s-1 range. Moreover, at the time of the first burst (10:42:08-10:42:40 UT), but on higher frequencies (2.0-2.4 GHz range), an interesting narrowband structure with fast positively and negatively drifting bursts was recorded (V-structure) (Fig. 11).
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Figure 11: The 2.0-4.5 GHz radio spectrum with a group of fast positively and negatively drifting bursts observed on July 14, 2000 by the Ondrejov radiospectrograph |
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The drifts were in the range -250-250 MHz s-1. On even higher frequencies inside a broadband continuum two fine structures were found. At 10:18:53-10:19:00 UT the reverse drift bursts in the 5.2-7.6 GHz range were observed (their drift is 3.5 GHz s-1) and then at 10:25:51-10:25:55 UT in the 5.2-7.6 GHz range a structure similar to that presented in Fig. 11 was found (V-structure) (Fig. 12). Once again a group of fast drifting bursts with positive and negative drifts can be seen. The drifts of these bursts are much higher, in the range -3-3 GHz s-1. It is important to mention that this structure was observed during the formation of the drifting pulsation structure on lower frequencies.
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Figure 12: The 5.2-7.6 GHz right polarization and degree of polarization radio spectra with a group of fast positively and negatively drifting bursts observed on July 14, 2000 by the Beijing radiospectrograph (the black colour in the degree of polarization spectrum corresponds to the right polarization) |
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At the beginning of impulsive phases of all presented flares, drifting pulsation structures with negative frequency drifts were observed. Thus these DPS can be considered as the typical feature of these types of flares. Their drifts and instantaneous bandwidths together with those of further observed drifting fine structures are summarized in Table 1. It can be seen that on higher frequencies the V-structures coincide (in time) with fine structures on lower frequencies. Furthermore, it was found that the high-frequency part of the DPS in the 2.0-4.5 GHz range at 10:31-10:33 UT, July 12, 2000 and at 10:24-10:32 UT, July 14, 2000 are similar to the 1-2 GHz continuum with drifting boundaries at 12:57:30-13:07:00 UT, July 11, 2000 flare.
Flare |
IPS | Type of Structure | Start Time | Frequency Range | Drift | Bandwidth |
[UT] | [UT] | [GHz] | [MHz s-1] | [MHz] | ||
July 10, |
22:00 | V-structure | 21:58:17 | 6.4-7.6 | -60000, +25000 | 1200 (tb) |
2000 | DPS | 21:59:36 | 1.0-1.8 | -60 | 200 (ib) | |
weak DPS | 12:28:38 | 0.8-2.0 | -50 | 700 (ib) | ||
July 11, | 12:28 | drifting patches | 12:45:30 | 2.7-3.2 | -30 | 300 (ib) |
2000 | fibers | 12:46:16 | 0.8-1.0 | -33 | 200 (tb) | |
spike branches | 13:26:40 | 1.0-1.8 | -6 | 800 (tb) | ||
DPS | 10:31:00 | 0.8-4.5 | -5 | >1000 (ib) | ||
July 12, | 10:30 | drifting line | 10:34:53 | 1.34-1.2 | -14 | 140 (tb) |
2000 | III-like bursts | 10:35:40 | 5.2-7.6 | -48000 | >2400 (tb) | |
harmonic zebra | 10:35:45 | 1.0-3.0 | -6- -12 | 2000 (tb) | ||
RS bursts | 10:18:53 | 5.2-7.6 | +3500 | ![]() |
||
July 14, | 10:25 | III-like burst | 10:24:00 | 0.8-3.0 | -240 | >2200 (tb) |
2000 | V-structure | 10:25:51 | 5.2-7.6 | -3000, +3000 | ![]() |
|
DPS | 10:27:00 | 0.8-1.5 | -3.3 | >1000 (ib) | ||
fibers | 10:42:00 | 0.8-1,5 | -80- -40 | 700 (tb) | ||
V-structure | 10:42:08 | 2.0-2.4 | -250, +250 | 400 (tb) |
Time profiles on selected frequencies for two DPS structures (July 12 and 14, 2000) were analyzed by the Fourier method. The results are summarized in Table 2. In both cases the periodograms reveal the quasi-periodic character of these pulsations, in agreement with the DPS presented in the paper by Kliem et al. (2000).
Flare |
Frequency | Time Interval | Period | p |
[GHz] | [UT] | [s] | [%] | |
3.24 | 89.8 | |||
July 12, | 1.3 | 10:32:00-10:36:00 | 2.14 | 86.6 |
2000 | 1.56 | 82.8 | ||
1.49 | 90.6 | |||
1.42 | 88.4 | |||
1.32 | 86.4 | |||
1.06 | 78.7 | |||
9.23 | 76.3 | |||
July 14, | 1.4 | 10:28:00-10:32:00 | 4.44 | 83.4 |
2000 | 1.52 | 76.3 | ||
1.01 | 79.9 |
In the presented radio bursts and fine structures we can find several very interesting phenomena, especially drifting pulsation structures, drifting patches, drifting harmonic structures with the zebra patterns, very narrowband drifting lines, drifting branches of narrowband dm-spikes, and structures with the fast positively and negatively drifting bursts (V-structures). In the following, we analyze these phenomena in more detail.
Recently, in the paper by Kliem et al. (2000) the slowly negatively drifting pulsation structure (DPS) observed during the Oct. 5, 1992 flare plasmoid ejection (Ohyama & Shibata 1998) was presented and interpreted as the signature of the dynamic magnetic reconnection. The quasi-periodic radio flux pulsations were attributed to modulations of particle acceleration in the extended current sheet, thus representing repeated formation and subsequent coalescence of magnetic islands forming, feeding and launching a plasmoid. The same event was described also by Hori (1999). In our case the drifting DPSs are observed at the beginning of the flare impulsive phases. The DPSs have well-limited frequency bandwidths. In agreement with the paper by Kliem et al. (2000) this aspect can be explained in three possible ways: a) the radio pulses are generated by electron beams in the limited space between the ejected plasmoid and the underlying reconnected arch loops or b) the radio emission is generated by shocks formed at the region where the plasma reconnection outflow jets are stopped (just above underlying arch loops or below the ejected plasmoid) or c) the radio emission is generated inside a magnetically closed plasmoid. The slow negative drift of the whole DPS is in all these cases caused by the motion of the whole reconnection space and the plasmoid upwards to lower plasma densities. The drifting patches (Fig. 4) belong probably to the same group of fine structures.
A similar zebra structure was described for the first time in the papers
by Ning et al. (2000 a,b) and explained by Ledenev et al. (2000). Here,
this structure was observed for the first time with two harmonic branches.
Due to the decrease of the frequency distance among the zebra lines with
the frequency decrease and due to the observation of the zebra pattern in
the harmonic branch, we interpret this structure in the same way as
suggested by Ledenev et al. (2000) (see also Ledenev & Urbarz 1993). In
this model an anisotropic beam, having temperatures
(perpendicular to the magnetic field B) much greater than
(parallel), is assumed. Such an anisotropic beam can be easily generated
by a localized acceleration or/and heating when fast electrons along the Bmagnetic field escape from the acceleration space. This beam is unstable
for the longitudinal waves having the frequency
,
if the resonance condition
(
,
where
and
are the k-wave vector and the electron velocity components parallel to B,
and s is the number of the electron cyclotron harmonics) is fulfiled.
Because the instability growth rate has a maximum for small
,
the
resonance condition can be rewritten as
,
where
.
In such a case the
unstable longitudinal waves are propagating nearly perpendicular to the
magnetic field. The ratio for the adjacent harmonics can be expressed as
,
which
gives the minimum values for the
1.09,
1.03,
1.01 and so
on. In our case, a zebra pattern with four lines was observed and the
found ratios are: 1.047, 1.039, and 1.025. Therefore, we think that the
highest frequency zebra line corresponds to the third harmonic. As
observed, the zebra pattern is found in the harmonic branch, therefore the
coalescence of two unstable longitudinal plasmons is assumed. Then we can
write for the electron cyclotron frequency
/(2s), where
/(2
)
is the
frequency of observed zebra lines. Thus, for the third harmonic zebra line
(f=2511 MHz) the electron cyclotron frequency is
,
where f(MHz)= 2.8 H(G), and the magnetic
field strength H in the zebra line radio source can be estimated as 150 G.
For this new feature there is no model. Nevertheless, similar narrowband drifting lines were observed also in the fundamental branch of the harmonic structure with zebra patterns. Based on this similarity we think that the very narrowband line is generated by the same process as the zebra pattern, but in this case due to specific conditions only one zebra line is generated. Thus, the model of Ledenev et al. (2000) valid for zebra pattern (see previous paragraph) can also be used in this case.
Three extended groups of narrowband dm-spikes were observed during the NOAA 9077 flares. One group was observed during the impulsive phase (the July 12, 2000 flare), two remaining in the later phases. In other papers (Karlický et al. 1996; Zlobec & Karlický 1998) it has been suggested that the narrowband dm-spikes are generated in the MHD turbulence of plasma reconnection outflows. This idea is in agreement with mechanism suggested for the DPS. Namely, during the July 12, 2000 flare, narrowband dm-spikes were observed within the DPS. On the other hand, the drifting branches of narrowband dm-spikes are probably connected with changes of plasma parameters in turbulent plasma outflows.
This structure was observed once at the beginning of a strong radio burst (the July 10, 2000 flare) at a time prior to the DPS on lower frequencies and twice during the July 14, 2000 flare: in the 5.2-7.6 GHz range at the start of the DPS on lower frequencies and in the 2.0-2.4 GHz range at the start of the intense pulse burst at lower frequencies. We think that these structures, mainly those with the same absolute values of the positive and negative drifts (two cases at the July 14, 2000 flare), manifest the electron beams propagating downwards as well as those reflected in the underlying magnetic mirrors and propagating upwards. The asymmetric case (bi-directional drift rates) observed during the July 10, 2000 event is probably more complicated.
The NOAA 9077 AR (July 10-14, 2000) solar flares were very rich in radio spectral fine structures. The variety of these structures in the 0.8-7.6 GHz frequency range was comparable with that observed, usually at lower frequencies, below 1 GHz (see e.g. Chernov et al. 1998). In all studied flares, the drifting pulsation structures were observed. Therefore, DPS can be considered as the typical signature of these types of flares (two-ribbon flares). In all cases the DPS drifts towards lower frequencies, expressing thus the upwards motion of the whole flare structure and the plasmoid ejection. The limited bandwidth of the DPS indicates that the DPS is generated in a limited space, maybe in the space between the ejected plasmoid and underlying arch loops, or in shocks formed at the regions where reconnection jets are stopped, or in a magnetically closed plasmoid. Three types of fine structures, which are probably connected with the magnetic field reconnection and the primary flare energy release processes, were recognized: the drifting pulsation structure associated with the plasmoid ejection, the narrowband dm-spikes with the MHD turbulence in the reconnection plasma outflows, and the harmonic structure with a zebra pattern, indicating the localized region with the anisotropic distribution function of accelerated electrons. In the July 12, 2000 flare all these structures were observed in the impulsive phase. Moreover, the narrowband dm-spikes and the harmonic structure with the zebra pattern were observed within the frequency bandwidth and time of the drifting pulsation structure. In three cases it was found that fine structures in the 1-2 GHz range coincide with the high-frequency structure of the fast positively and negatively drifting bursts. We designated this structure as "V-structure'', which in our opinion expresses the mirroring of electron beams in underlying magnetic mirrors at times of increased flare process activity.
Acknowledgements
This work was supported by the grants A3003003 and S1003006 of the Grant Agency of the Academy of Sciences of the Czech Republic, by the grant 205/00/1726 of the Grant Agency of the Czech Republic, by Key Project K2043105, by NNSF of China (Nos. 49990452, 49990451, 19833050, 19973008, 19973016), by Chinese Academy of Sciences (STORM23), and by the Ministry of Science and Technology of China (G2000078403). One of the authors (M.K.) thanks the solar radioastronomical group of the Beijing Observatory for the invitation and fruitful stay. The authors also thank the anonymous referee for remarks improving this paper.