A&A 382, 328-341 (2002)
DOI: 10.1051/0004-6361:20011608
K. Wilhelm1 - B. Inhester1 - J. S. Newmark2
1 - Max-Planck-Institut für Aeronomie, Max-Planck-Straße 2,
37191 Katlenburg-Lindau, Germany
2 -
Naval Research Laboratories, 4555 Overlook Ave., SW,
Washington, DC 20375, USA
Received 7 August 2001 / Accepted 9 November 2001
Abstract
Detailed investigations of the corona and the source regions of
the solar wind have become possible with spectroscopic and imaging
instruments on the Solar and Heliospheric Observatory (SOHO).
We present observations in the extreme
ultraviolet (EUV), pertinent to the generation of the slow solar wind,
which were obtained by the Solar Ultraviolet
Measurements of Emitted Radiation (SUMER) spectrograph and by the
Extreme-ultraviolet Imaging
Telescope (EIT) in early 1998 under relatively quiet solar conditions,
but with several active regions of the new solar cycle present.
At the same time, forbidden iron
lines in the visible were observed by the Large-Angle Spectroscopic
Coronagraph (LASCO/C1). We study, in particular,
the plasma parameters and the spatial structures
of the low-altitude streamer regions, and find an
electron density of
cm-3 at 5 Mm
above the equatorial limb for the coronal plasma, and
cm-3 for the plasma
at transition-region temperatures.
High-temperature regions have been found at mid-latitudes with electron
temperatures of
K at heights of about 80 Mm
and lower temperatures near the equator.
Key words: Sun: atmosphere - Sun: transition region - Sun: corona - Sun: UV radiation
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Figure 1:
Geometry of the SUMER observations on
north-south cross sections of the solar east
and west streamers obtained on February 6/7, 1998.
The positions of the individual slit settings are indicated along the cross
sections. Also shown by heavy bars are the regions
with radiation from transition region or prominence lines.
The angular extent of the solar radius at the time of observation is given
and the
approximate locations of the coronal hole boundaries (CHB) near the limb
are marked from EIT images. Also defined is the position angle, ![]() |
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Date | Time | Slit centred | Position | Scan | |
1998 | UT | ![]() ![]() |
![]() ![]() |
angle, ![]() ![]() |
|
West scan | |||||
Feb. 6 | 17:57 | 989 | -840 | 230 | blue |
19:11 | 989 | -560 | 240 | red | |
20:24 | 989 | -279 | 254 | blue | |
21:37 | 989 | 0 | 270 | red | |
22:51 | 989 | 279e | 286 | blue | |
Feb. 7 | 00:04 | 989 | 560 | 300 | red |
01:17 | 989 | 840 | 310 | blue | |
East scan | |||||
05:36 | -989 | 840 | 50 | blue | |
06:49 | -989 | 560 | 60 | red | |
08:02 | -989 | 279 | 74 | blue | |
09:16 | -989 | 0 | 90 | red | |
10:29 | -989 | -279 | 106 | blue | |
11:42 | -989 | -560 | 120 | red | |
12:56 | -989 | -840 | 130 | blue |
a With overhead for spectrometer settings.
b The direction of the wavelength scan is given in the last column:
blue towards shorter wavelengths; red towards longer wavelengths.
c Photocathodes: Bare microchannel plate, potassium bromide (KBr).
d Nominal pointing positions.
e Mg IX lines not available (telemetry gap).
The SUMER spectrometer observed the low corona
(
,
where r is the radius vector of the
observation site in the plane of the sky and
km
is the solar radius) on many occasions,
and results on the findings relevant in the context of the
present discussion have been published, e.g., by Feldman et al. (1997, 2000),
Doschek et al. (1997), Feldman (1998), and Wilhelm et al. (1998, 2000).
Here we present
spectra obtained on complete cross sections of the east
and west equatorial streamers near the Sun in February 1998 in an
attempt to determine the plasma conditions
in this part of the corona.
This is the only set available of such spectra.
The geometry of the observing scheme is shown
in Fig. 1, and more information on the observational
programmes is given in Table 1. Based on data obtained during the same
period, a study of the neon-to-magnesium elemental abundance variations has
already been published (Wilhelm 1999).
Not all of the spectra observed in the wavelength range from 702 Å to
1468 Å in first order of diffraction with superimposed second order spectra
could be analysed here, but we studied
those wavelength intervals in detail, which could shed light on the important
plasma parameters electron density and electron temperature.
Consequently, we looked at the ratio of the Si VIII
(
1440, 1445) forbidden lines
for electron density diagnostics (Doschek et al.
1997), at the ratio of the Mg IX
(
706, 750) lines for electron temperature diagnostics
(Keenan et al. 1984; Doyle et al. 1985;
Wilhelm et al. 1998). Of particular interest was the wavelength range from
758 Å to 793 Å containing the Ne VIII resonant lines at
770 Å and 780 Å and several Mg VIII lines, in addition, to many
transition region lines (N II, N III, N IV,
S V, O IV, and
O V) with temperatures of the peak ionic
fractions between
K and
K and some lines of the
S X and S XI spectra. The emission lines treated here and their
characteristics are compiled in Table 2. The wavelengths observed with SUMER,
,
are not the most accurate determinations possible, but are only
evaluated to allow a reliable line identification. The corresponding normalized
contribution functions,
(cf. Mariska 1992; Feldman et al. 2000), valid for
ionization equilibrium, are shown in Fig. 2 using interpolated data of
Arnaud & Rothenflug (1985) as well as Arnaud & Raymond (1992).
Note the high-temperature tails of the lines
He II, O VI, Ar VIII,
and Ne VIII from hydrogen-like and lithium-like ions.
Wavelength | Line | Transition | Temperatures | ||||
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700.24 | 700.245 | Ar VIII | g
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- |
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706.06 | 706.06d | Mg IX | g
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- |
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749.55 | 749.55 | Mg IX |
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- |
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758.68 | 758.678 | O V |
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- |
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759.44 | 759.441 | O V (S IV) |
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- |
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760.23 | 760.228 | O V |
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- |
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760.45 | 760.445 | O V |
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- |
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761.12 | 761.128 | O V |
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- |
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762.00 | 762.003 | O V |
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- |
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762.65 | 762.66e | Mg VIII | g
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- |
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763.34 | 763.340 | N III | g
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- |
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764.37 | 764.357 | N III |
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- |
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765.15 | 765.148 | N IV | g
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- |
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769.38 | 769.36e | Mg VIII | g
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- |
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770.41 | 770.428f | Ne VIII | g
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- |
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771.87 | 771.901 | N III |
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- |
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772.28 | 772.26e | Mg VIII |
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- |
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772.54 | 772.7g | Al VIII |
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- |
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774.53 | 774.518 | O V |
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- |
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775.41 | - | ? | |||||
775.99 | 775.965 | N II |
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- |
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776.24 | 776.37h | S X | g
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- |
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779.88 | 779.734 | O IV |
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- |
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bl | 779.821 | O IV |
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- |
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bl | 779.912 | O IV |
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- |
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bl | 779.997 | O IV |
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- |
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780.32 | 780.324 | Ne VIII | g
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- |
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782.36 | 782.36e | Mg VIII |
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- |
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782.91 | 782.96i | S XI |
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- |
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786.47 | 786.470j | S V | g
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- |
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787.44 | 787.56h | S X | g
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- |
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787.74 | 787.711 | O IV | g
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- |
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789.44 | 789.41e | Mg VIII |
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- |
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789.78 | 789.78e | Na VIII | g
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- |
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790.19 | 790.199 | O IV |
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- |
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1031.93 | 1031.924 | O VI | g
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- |
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1037.60 | 1037.614 | O VI | g
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- |
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1440.49 | 1440.49 | Si VIII | g
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- |
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1445.75 | 1445.76 | Si VIII | g
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- |
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aFeldman et al. (1997);
bCurdt et al. (1997);
cArnaud & Rothenflug (1985);
dRidgeley & Burton (1972);
eEdlén (1983);
fDammasch et al. (1999);
gDenne & Hinnov (1984);
hEdlén (1984);
iEdlén (1985);
jKaufman & Martin (1993).
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Figure 2: Normalized contribution functions of the emission lines discussed in this paper. The ionic fractions except for the iron ions are taken from Arnaud & Rothenflug (1985). The data for iron are from Arnaud & Raymond (1992). |
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The full detector format of 360 (spatial)
1024 (spectral)
pixels has been telemetered to the ground,
geometrically corrected and
radiometrically calibrated with the help of
standard SUMER analysis software, before
any binning in the spatial direction was performed for some of the
presentations. Since substantial binning was
required in the dark regions of the corona, a flat-field correction was not
applied there nor were deadtime or gain-depression
corrections needed because of the
low count rates encountered (with a maximum of 5 count s-1 pixel-1).
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Figure 3:
North-south cross section of the west streamer in the wavelength
range from 758 Å to 793 Å (part of Band 3 out of 12; cf.
Table 1). The geometry can be seen from Fig. 1.
The data have been binned in the spatial direction by a factor of 4. On
the right-hand side, the different
slit positions are indicated by long tick marks.
Highlighted by vertical bars and identified by lower case letters are spatial
regions for which we show amplitude spectra in Fig. 7, where most of the
lines in the spectral range shown are identified. Extremely
sharp boundaries
can be seen in all transition region lines and in the
H I Lyman continuum at
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Figure 4:
North-south cross section of the east streamer. The sharp boundaries
of transition region lines are marked by dotted lines at
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The data of different exposures have then been pasted together by eliminating
small overlaps of 20
between individual slit images.
This has not in all cases
produced a perfect fit, presumably because of temporal variations within the
exposure time of more than one hour for each slit position.
Figure 3 shows the cross
section of the west streamer near the Ne VIII lines as negative display.
Here and in the other figures below we use a reversed grey scale code which
shows emission intensity in dark and the absence of emission in white.
In Fig. 4 we present the corresponding spectra
obtained in the east streamer. A spatial binning of four pixels
has been applied for these overviews. Both streamer spectra
are very similar with the exception of emission regions at north-south
heliocentric coordinates,
to -279
and
250
to 420
,
which are only present in the eastern hemisphere.
The transition region lines in the northern range exhibit pronounced
Doppler shifts towards long wavelengths (red shift) with respect to the
undisturbed lines, which amount to line-of-sight (LOS) speeds of
37 km s-1 away from SOHO, if the lines outside this
range are assumed to be at rest. This is a safe assumption as the light seen in
these lines at the northern and southern slit positions is essential straylight
from the solar disk, which cannot be red shifted by such an amount.
By inspecting the He II image of EIT for
this day shown in Fig. 5, a large prominence can be identified
as cause of the cool moving plasma north of the solar equator.
Note that the coronal lines do not show any specific Doppler shifts
in the prominence region, which can best be seen for the S X
(
787) line in relation to the O IV (
787) line
or the three lines near 790 Å (Mg VIII, Na VIII,
and O IV).
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Figure 5: The EIT spectral window around 304 Å with the prominent He II line is shown for the western hemisphere at 19:19 UT on February 6 and for the eastern hemisphere at 07:19 UT on February 7, 1998. The cross sections of the streamer regions covered by the SUMER slit scans are indicated (S-S). Note the reversed grey scale, emitting areas are represented in dark. |
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This prominence is also visible in the Ca II K3 long exposure of Meudon,
whereas no such activity is present at the western slit positions.
There is however a weak prominence visible in the He II image of EIT
at
to 250
.
This may cause the slight
asymmetry in Fig. 3 with respect to the point of closest approach.
The central regions of high intensity have, in addition to their spatial
structure, very sharp
edges towards larger and smaller
coordinates. At least some of them do
not coincide with slit transition (in Fig. 3 at
and in Fig. 4 at
,
for instance)
and cannot be caused by bad fits.
These sharp edges
can also be seen in Fig. 6, where the radiances of Ne VIII
and N IV lines are compared for both streamers.
We want to point out that the different behaviour of the
coronal and transition region lines at high
can be used to
estimate the influence of straylight and ascertain that the Ne VIII
lines are not significantly affected by scattered light.
The distinct regimes visible in Figs. 3 and 4, motivated us to present in
Figs. 7 and 8 spatially averaged amplitude spectra
for the ranges (a) to (f) shown in the right margins. First of all, this
presentation provides a much better insight into the radiometric situation,
which indicates that all lines and the H I Lyman continuum
are weaker in the west. Inspection of the EIT observations on February 6/7,
1998 leads to the conclusion that this difference is, in all
likelihood, not related to the Sun. Instead, a slight offset (a few seconds of
arc) in the
pointing could be responsible for the asymmetric
configuration (cf. Fig. 1). Figures 7 and 8
also show the lines which are blended and consequently require special care.
This holds, in particular, for Ne VIII (
780)
and Mg VIII (
772).
An interesting question is which lines exhibit the structured behaviour and
which do not. Wilhelm (1999) found that lines with formation temperatures above
K had a smooth north-south profile,
whereas lines
below
K (O V) displayed spatial variations. The lines
O VI (
1032, 1037)
displayed both features.
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Figure 6:
Comparison of the Ne VIII (![]() ![]() ![]() ![]() |
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Figure 7:
Amplitude spectra of the data presented in Fig. 3
for the west streamer averaged over
certain spatial regimes as indicated by the lower case letters (a) to (f).
For display
purposes the curves are offset by powers of 10 as shown on the right, but are
radiometrically calibrated. Line identifications are provided in the upper
margin. In the context of this paper note, in particular, the Ne VIII and
Mg VIII lines, but also the high-temperature lines S X and
S XI and their relative strengths compared to cooler lines (N II,
O IV
and Mg VIII). Some lines of interest are blended (Mg VIII at
772 Å, Ne VIII at 780 Å) and the methods to separate them from
the blends are discussed in the text. For some
intense lines, notably Ne VIII at 770 Å in spectra (b) and (c),
there is a background increase of ![]() ![]() |
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Figure 8: Same as Fig. 7, but for the streamer in the east shown in Fig. 4. All lines, in particular the transition region ones, and the H I Lyman continuum of the spectrum (a), are stronger (by factors of two to five) than the corresponding values of the west streamer. As discussed in the text, this is probably caused by a slight difference in pointing. |
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There are several density-sensitive
and temperature-sensitive line pairs available in the wavelength range
from 758 Å to 793 Å for density and temperature
diagnostics (cf. Table 2).
The ratio of the O V (
759, 761) pair depends on the electron density (Curdt et al. 1997), so does that of
the Mg VIII (
772, 782) pair (Laming et al. 1997),
while the O IV (
779.91, 787.74) lines form a
temperature-sensitive pair.
The O V line at 759.44 Å is hopelessly blended by a
S IV line at 759.34 Å. It is fortunate that there are other
S IV lines close by in the spectrum,
for instance, at 750.225 Å and 753.74 Å.
Kelly (1987) gives relative radiance ratios for the S IV lines, allowing
us to estimate the contribution of the S IV line to the
O V/S IV blend to be approximately 30%.
A temperature-sensitive line ratio useful in this wavelength range is
R1 = L(779.91)/L(787.74) of the O IV spectrum,
where
denotes the radiance of a line at
.
It is rather difficult to estimate the ratio R1, because the Ne VIII
(780) line is severely blending the
779 Å line, which in itself is a multiplet. With
constrained Gauss fits, we could separate the O IV lines from
Ne VIII, but could not resolve the four members of the multiplet.
We can thus only determine the ratio
.
The 779.91 Å and
779.99 Å lines (from the same upper level 2D5/2) have a branching
ratio of 1:0.07, the 779.74 Å and
779.82 Å lines (from 2D3/2) have a ratio of 0.12:1 and
the radiance ratio
(
L(779.91) + L(779.99))/(L(779.74) + L(779.82)) at
cm-3 and
K is 1.49 (Laming 1998).
Consequently we get
L(779.74): L(779.82):L(779.91):L(779.99)=0.12:1.00:1.56:
0.11.
The Mg VIII ratio is also very difficult to
use, because of blends of the line at 772 Å (Wilhelm & Bodmer 1998).
It was found that densities derived from Mg VIII were systematically
higher than those from
Si VIII, even after detailed considerations of possible blend
contributions. The Si VIII pair of the forbidden lines at 1440 Å and
1445 Å, on the other hand, has
been widely used for coronal density diagnostics at heights of
more than 15 Mm above the limb (Doschek et al. 1997;
Wilhelm et al. 1997a, 1998; Doyle et al. 1998) and yields
densities of
cm-3 at
15 Mm in coronal
holes falling off to
cm-3 at about 110 Mm. The lowest value
seen was
cm-3 at 210 Mm (Doschek et al. 1997). At
altitudes lower than 15 Mm the Si VIII method does not work reliably
in coronal holes, because the
less intense line at 1440 Å is swamped by the background radiation.
The densities in streamers are higher by a factor of roughly two at comparable
altitudes and thus the method can be applied down to lower heights.
The only useful line pair for coronal
temperatures in the SUMER wavelength range appears to be Mg IX
(
706, 750) (Keenan et al. 1984; Wilhelm et al. 1998).
This pair is however weakly density sensitive, and thus the
electron density has to be known.
Consequently, we have analysed the spectral ranges containing the Mg IX
(
706, 750) lines (Bands 1 and 2 out of 12; cf.
Table 1) and the Si VIII
(
1440, 1445) lines (Band 11)
in the same manner as the range around
770 Å. We have then produced
diagrams similar to those of Figs. 3 and 4 to check for data completeness and
consistency. It turned out that the Mg IX lines at
and
are
not available in the final telemetry data, and an interpolation was required
between adjacent positions. As the diagrams do not show anything new
compared to Figs. 3 and 4, they are not
reproduced here. In what follows the data will be further binned into
115
sections in order to allow us to obtain reliable ratios at large
.
The complete original data sets are in the public
domain and can be obtained from of the SOHO archive at
http://soho.nascom.nasa.gov/data/ or
from http://www.linmpi.mpg.de/english/projekte/sumer/FILE/SumerEntryPage.html.
LASCO is a package of three coronagraphs C1, C2 and C3 on SOHO.
Together they image the corona from
to
.
Detailed descriptions of LASCO are given by
Brueckner et al. (1995) and Socker et al. (1996).
The LASCO Lyot
coronagraph, C1, is designed to provide coronal images between
and
.
Key elements of the optical train of this coronagraph include a symmetric
folding reflecting telescope with a low-scatter primary mirror, a tunable
passband Fabry-Perot filter with an associated blocking filter set,
a polaroid filter set and a photon-noise-limited CCD detector with a
1024
1024-pixel format. The optical configuration
with its filter
passband is such that the system operates as an imaging spectrograph.
It can produce monochromatic images over the entire field of
view with a spectral resolution of about 0.7 Å.
Its spatial resolution is primarily determined by
the detector pixel size with respect to the plate scale. The equivalent
pixel size of the CCD is 5
8.
The flux limiting aperture of the
system is the
Lyot stop, which results in a Rayleigh diffraction-limited resolution of
3
3 at 5303 Å.
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Figure 9:
LASCO/C1 Fe XIV observations (
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Figure 10: LASCO/C1 Fe X observations on February 6 at 22:15 UT (western hemisphere) and on February 7, 1998 at 08:15 UT (eastern hemisphere). The Carrington longitude-latitude grid on the Sun's surface, the SUMER slit (S-S) and the extrapolated slit (E-E) are shown as in Fig. 9. |
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The blocking filter selects a spectral
neighbourhood of a specific emission line
and suppresses all but a single transmitted interferometer order.
This filter minimizes the out-of-band continuum to less than 1 part
in 105. The full width at half maximum (FWHM) of the interferometer
passband has been adjusted to the
expected line widths of the coronal lines. The coronagraph C1 was designed
to study the corona in the forbidden lines
Fe XIV 5303 Å,
Ca XV 5649 Å,
and
Fe X 6374 Å, as well as in the lines
Na I 5890 Å and
H I Ba
at 6562 Å.
The white-light continuum can also be observed at any
wavelength between 5300 Å and 6400 Å.
Here we use only the Fe X and Fe XIV forbidden line
observations. Their thermal equilibrium formation temperatures
(under equilibrium conditions) are
K and
K,
respectively. The hot Fe XIV
emission is usually observed much stronger and decreases less rapidly
with distance from the Sun than the Fe X emission. This
behaviour can also be observed in Figs. 9 and 10 where the respective
observations for February 6 and 7, 1998 are shown. Another typical
observation in the Fe XIV line is the absence of emission from
the coronal regions above coronal holes. At the time the present
observations were made, these sectors correspond largely with the
polar latitudes. We also typically see an enhanced emission from
middle latitudes especially from regions adjacent to the coronal hole
boundary while from the low latitudes the emission is only modest
unless a low-latitude active region happens to pass the limb. In this
respect, the observations shown in Figs. 9 and 10 are representative
for the Sun at low and medium activity. In Figs. 9 and 10, the
positions of the SUMER slit (S-S) are indicated on either side.
Unfortunately, these slits pass through the coronagraph occulter so
that there is no LASCO data available for a direct comparison at the
central sections of the SUMER slits. To have a rough idea of how the
Fe X and Fe XIV emission varies along these missing
parts of the slits, we show the LASCO data also along two extrapolated
slits (E-E) which are parallel to the SUMER slits but have 1.1 times
their distance from the center of the solar disk.
The Extreme-ultraviolet Imaging Telescope (EIT) provides wide-field images of
the corona and transition region with 2
6 pixels and up to
from the centre of the disk. The telescope uses two normal incidence
multilayer-coated mirrors to define four different bandpasses. The response is
selected to peak on emission lines produced either in the transition region
(He II 304 Å, cf. Fig. 5), cool corona (Fe IX/X 171 Å and
Fe XII 195 Å), or hotter corona (Fe XV 284 Å). First
results from EIT, including the temperature sensitivity of the four bandpasses,
are described by Moses et al. (1997). The temperature response for the dominant
lines as mentioned above can be seen from the corresponding contribution
functions in Fig. 2.
We construct a model differential emission measure (DEM) map, using the EIT
images from the four channels which cover the temperature range from 80000 K
to
K. Calculation of the differential DEM curve using the EIT has
been discussed in Cook et al. (1999, 2001). Briefly, we have modified the
existing CHIANTI programme of Dere et al. (1997), which computes a model
spectrum using an arbitrary assumed DEM curve and a large bank of atomic data,
to predict radiances observed through the four channels of EIT. We use the
observed radiances to modify an initial trial DEM so that it best reproduces the
observations in each pixel, giving a DEM map of the entire field of view. The
DEM provides a compact summary of the solar atmospheric structural information
as a function of the electron temperature.
In Fig. 12 we show pixel-by-pixel ratios of
DEM(
)/DEM(
)
for February 6/7, 1998.
These maps nicely display areas
of high and low temperature emissions.
From the SUMER streamer spectra we can extract the Si VIII
(1440) line down to about 7
(5 Mm), the lowest nominal altitude
reached by the slit projection. It
is, however, not possible to identify and measure the lines at the extreme
values of
.
We have also evaluated the Mg VIII line ratio, but
found that the measured ratio had to be reduced by 25% in order to arrive at
densities consistent with the Si VIII values. Laming et al. (1997) found
good agreement between densities obtained from Si VIII
(
1440, 1445) and Mg VIII
(
772, 782), but observed the Mg VIII lines in second
order with detector A. This provided higher spectral resolution and allowed a
clear separation of the Mg VIII (
772.28) and Al VIII
(
772.54) lines. This would point to an underestimation of the Al
VIII blend. The detector background stemming from the Ne
VIII (
770) line (cf. Figs. 7 and 8) has been taken into account.
A detailed study of the Mg VIII line ratio observations with SUMER is in
preparation.
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Figure 11:
a) Radiances, L, of the Ne VIII (
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In Fig. 11, the SUMER
results are presented for both
streamer cross sections. The ratios of the radiances of the Ne VIII lines
in panel a) are very close to a value of
two at all positions for both scans,
as can be seen from panel b)
It can thus be concluded that the Ne VIII
resonance lines are predominantly collisionally excited by electron impact and not
resonantly scattered under the prevailing conditions (cf. Noci et al.
1987; Wilhelm et al. 1997b). Opacity effects observed for Ne VIII
(770) in the limb-brightened regime of the solar disk by Doschek
et al. (1998) are not significant in our case, although a slight
systematic decrease of the ratio is discernible close to the limb.
Consequently, we can assume for Ne VIII with good approximation
a radiance of
.
The electron densities,
,
as a
function of
are shown in panel c)
where we did not plot the last two
measurements on either side, because the Si VIII method does not provide
accurate values at such low densities.
Strictly speaking, the density is determined from the Si VIII ratio
observed along the LOS, but the steep decrease
of the electron density with height
leads to a dominating influence of the region closest to the limb.
Density-scaled radiances
of the Ne VIII (
770)
line normalized to
cm-3 are given
in panel d). With the above
assumptions, the radiances should be constant, which
they are obviously not in a perfect sense, but variations in radiance over nearly three
orders of magnitude in panel a) are reduced to about a factor of
eight. Alternatively, we
have constrained the normalized radiance of Ne VIII (
770) to a
constant value of
photon s-1 m-2 sr-1 (the mean
value of the normalized radiances) and determined
the electron density required to achieve this result. This electron density is
then plotted in panel c) as dashed-dotted curve. It appears to be
consistent with the Si VIII data.
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Figure 12:
Maps of DEM(
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The evaluation of the
ratio of the Mg IX (
706, 750) lines was hampered by
the low
signal strength of the weak 750 Å line at
values above 700
.
At low latitudes, an electron temperature
K was deduced. It
showed a general increase towards higher
latitudes as can be seen from Fig. 11e.
It is important to find some verification for these Mg IX temperatures.
In Fig. 11a we have added some radiance data of the Mg VIII
(
772) and S X (
776) lines in both streamers (cf.
Table 2 for relevant formation temperatures).
These measurements are obviously consistent with higher
temperatures at larger
.
The same impression can also be
obtained by inspecting the Mg VIII and S X/XI lines as a function
of
in Figs. 3 and 4. The increase of the electron
temperature towards higher latitudes is thus well established,
but it is not possible to decide from this data set
whether the temperature depends mainly on latitude or on height.
This information can, however, be obtained from EIT and LASCO observations.
The EIT temperature map in Fig. 12 clearly demonstrates that there is a
much greater latitudinal temperature gradient along the SUMER slit direction
than perpendicular to it. At low altitudes near the equator temperatures appear
to be comparable to polar coronal hole values. A quantitative estimate of
the electron temperature from both line ratio and differential emission measure
calculation based on EIT data leads to a values of
K to within 105 K.
In Fig. 13 the line intensities and the ratios along the cross sections
are plotted from LASCO1/C1 observations presented in Figs. 9 and 10.
Given the different contribution
functions of the Fe X and Fe XIV lines this ratio should
also reflect the electron temperature of the emitting plasma.
The ratios on the slit profiles and on the projected profiles in Fig. 13
are only significantly different in the northern portion of
the east streamer, in all other cases the change in temperature with
height between profiles (S-S) and (E-E) is small.
The LASCO/C1 data, therefore, support the EIT result
that there is a strong latitudinal effect.
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Figure 13: Intensities of the Fe XIV line in the east streamer along the slit positions and the extrapolated projection are shown in panel a) Panel b) displays the corresponding intensities for the Fe X line, whereas panel c) gives ratios of I(Fe XIV)/I(Fe X) for both the slit and and extrapolated positions. The panels d)-f) display the corresponding results for the west streamer. |
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Figure 11 can only be adequately interpreted after considering of the
LOS effects involved in obtaining the line radiances. This is
relatively easy for lines with formation temperatures below
K (the
transition region lines). From Fig. 6 it can be seen that significant
contributions to the N IV radiance stem from low altitudes only (if we
disregard the prominence contribution in the east). Figures 3 and 4
demonstrate that
all transition region lines behave in a very similar manner. Ne VIII and
Mg VIII, on the other hand, do neither exhibit the spatial structure at
low altitudes nor the cutoff towards higher latitudes. It is thus clear that
these lines are emitted from a plasma volume which is much more extended, and
LOS effects could be of greater importance. Can they cause the smooth
latitudinal dependence of Ne VIII, for instance? This question cannot
be answered without additional assumptions. First we note that the electron
densities found in Fig. 11c suggest a scale height of
50 Mm in
the low corona. Although derived from observations across the streamers,
it seems reasonable to expect
the same scale height at positions
along the LOS direction. With the earlier
assumption that the radiance contributions are proportional to
,
these
contributions can be calculated for all regions of the low corona and can be
sorted according to their sources. It turns out that for
approximately 70% of the Ne VIII emission is from
altitudes below 20 Mm, where also most of the spatially structured transition
region lines originate (cf. Fig. 6). Hence, both the structured transition
region lines and most of the smooth radiation of Ne VIII (and presumably
Mg VIII) are emitted from this plasma volume, which consequently has to
have regions of different temperatures and, as we will see below, of different
densities, too. It is also evident that the structures emitting the transition
region lines must be much more limited in their spatial extent and irregular
in their distribution than the hotter plasma volumes.
These findings support model calculations based on Normal Incidence X-ray Telescope (NIXT) observations, which had to assume an intermingling of chromospheric and coronal temperatures in order to produce an adequate fit between predictions and measurements (Daw et al. 1995).
The evaluations of the O IV and O V line ratios and the resulting
electron densities and temperatures are given in Table 3 for those locations
along the streamers cross sections where the ratios could be determined with
confidence. Comparisons with the Si VIII and Mg IX results
indicate
that the electron density of the structured plasma regime is more than an order
of magnitude higher than that of the coronal regions and the electron
temperature is about a factor of three less.
Hence the plasma pressure,
,
is higher in
the structured features than in the coronal regions, and the magnetic pressure
has to be smaller, if the different regions are assumed to be in pressure
balance.
O V ratio | O IV ratio | ||||
Streamer | L(759.44)/L(761.12) | Electron densitya | L(779.91)/L(787.73) | Electron temperatureb | |
location | ![]() |
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|||
West | |||||
(a) Brightest region | 8.8 |
![]() |
0.039 |
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|
(b) Structured region | 6.7 |
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-c | - | |
East | |||||
(a) Structured region | 6.6 |
![]() |
0.032 |
![]() |
|
(b) Prominence (North) | 6.0 |
![]() |
0.032 |
![]() |
|
(c) Southern enhancement | 8.0 |
![]() |
0.039 |
![]() |
a Evaluated using
Fig. 7 of Curdt et al. (1997) with
K.
b Evaluated using
Fig. 9 of Curdt et al. (1997)
with
cm-3.
c L(779) very uncertain; ratio outside useful range.
Bright, apparently closed-loop systems at latitudes between 30
and
45
in both hemispheres were characteristic signatures of the minimum
corona below
in LASCO/C1 images (Schwenn et al. 1997).
Using a ratio technique of the Fe XII and Fe IX/ X channels
of EIT, Moses et al. (1997) constructed temperature maps of the solar disk and
the low corona, which indicated high-temperature regimes in these mid-latitude
regions. Guhathakurta & Fisher (1994) had identified these
high-temperature zones using ground-based observations of the Fe XIV and
Fe X forbidden lines.
Employing essentially two different methods (studying lines with different
formation temperatures and performing an evaluation of line ratios of the
same ion), we also find these high-temperature
regions with EIT, LASCO/C1 and SUMER at these latitudes
in the inner corona in February 1998.
The Mg IX line ratio
method allows us to determine the electron temperature. We find approximately
K at an altitude of 80 Mm (
).
There are indications that these regions have very low
neon-to-magnesium elemental abundance (Wilhelm 1999).
The electron temperatures we derived
close to the equatorial limb are near
K and thus
are very low.
They may not represent pure coronal levels as the observations of
all transition region lines demonstrate a pronounced spatial structure
in these regimes. The temperature thus varies considerably and our estimate
may at best represent an average value for this height. The low temperatures
are supported though by the EIT temperature maps of Fig. 12 which show no
increase with height in this regime.
The EIT data suggest an average temperature of
K with an
uncertainty of 105 K.
In the northern portion of the east streamer an
extended prominence is present and confuses the spectra in Fig. 4.
Closer to the limb, the structures
with electron densities between
cm-3 and electron temperatures below
K could be caused
by spicule activity (Budnik et al. 1998;
Wilhelm 2000). Spectral lines with formation
temperatures above about
K do not exhibit this small-scale structure,
although most of their radiation is emitted from plasma volumes at
altitude levels comparable to those of the sources of the transition region
lines. The identification of this spatial and temperature structure of the low
corona and its sharp upper boundary is a surprising result of this study.
Warren (1999) studied SUMER spectra obtained during a SOHO roll offset
on 24 February 1999. At a height of about 40 Mm above the limb and
at a position angle
,
the S X (
1213, 1196)
line-ratio diagnostic gave an electron density of
cm-3. Using an
emission measure analysis for silicon ions with
charge stages between 7 and 10, an electron temperature of
K
was found.
At this position angle, the slit would cross our profiles at -570
,
where we see
K and densities,
,
between (2 and 5)
cm-3 at a height
of 115 Mm (cf. Fig. 11). Assuming again a scale height of 50 Mm,
our average density is a little
lower than the S X data suggest, but are fully consistent with
the results of 1999 considering the different dates of observation.
Acknowledgements
The SUMER, LASCO, and EIT projects are financially supported by DLR, NASA, NRL, CNES, CNRS, SERC, and the ESA PRODEX programme (Swiss contribution). SOHO is a mission of international cooperation between ESA and NASA.