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<TITLE>African Skies 4 - Geomagnetic Variations in the Ionosphere</TITLE>
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<CENTER><H1>Geomagnetic Variations in <BR>
the Ionosphere</H1>
<H3>F.N. Okeke</H3>
<em>Department of Physics & Astronomy<br>
P.O. Box 3238, University Post Office</br>
University of Nigeria, Nsukka, Nigeria</em></center>
<P>
<B>Abstract</B>. This paper reviews the theoretical basis and
research work in relation to the geomagnetic variations in the ionosphere.
Controversies as to the cause and nature of the geomagnetic variations in the
ionosphere still exist. Observations from a number of stations like EISCAT,
IMAGE and AGO are available. It is suggested that African countries should
join these projects to enhance our understanding of these complex phenomena.
<P>
<B>Sommaire</B>. Cet article passe en revue les bases th&#233;oriques et les
travaux de recherche sur les variations g&#233;omagn&#233;tiques dans
l'ionosph&#232;re. Des controverses sur la cause et la nature de ces variations
existent encore. Des observations &#224; partir de plusieurs stations
telles EISCAT, IMAGE et AGO sont disponibles. On sugg&#232;re que les pays
Africains rejoignent ces projets pour faire progresser notre compr&#233;hension
de ces ph&#233;nom&#232;nes complexes.
<P>

<H2><A NAME="SECTION00010000000000000000">
1 Introduction</A>
</H2>
In recent times the magnetic field in the ionosphere has assumed great
importance, with availability of data from ground-based stations data,
spacecraft, Earth-orbiting satellites, etc. The ionosphere has been described
as the part of the earth's upper atmosphere where ions and electrons are
present in quantities sufficient to affect the propagation of radio waves.
This region is between 70&nbsp;km and 1000&nbsp;km high above the earth
(<I>e.g.</I> Campbell, 1997). The ionosphere is a conducting
medium because of its ionization. In this region wind carries the ionized
particles with velocity <U><IMG
 WIDTH="15" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="img1.gif"
 ALT="$\omega$"></U> across the lines of
earth's magnetic flux <U><I>B</I></U>. This constitutes a conductor
cutting the magnetic lines. From Faraday's law of electromagnetic induction,
there occurs the induction of electromagnetic force (emf)
<U><IMG
 WIDTH="15" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="img1.gif"
 ALT="$\omega$"><EM></U> </EM><IMG
 WIDTH="17" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="img2.gif"
 ALT="$\times$"><EM> <U></EM><I>B</I></U>. This emf causes
current to flow in the conducting medium in the direction of
(<U></EM><IMG
 WIDTH="15" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="img1.gif"
 ALT="$\omega$"><EM></U> </EM><IMG
 WIDTH="17" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="img2.gif"
 ALT="$\times$"><U><I>B</I></U>). Since in a given
region the direction of <U><I>B</I></U> is fixed, the wind needs to blow
in closed curves for the current to complete its circuit, but the wind
progresses instead of blowing in closed curves. Therefore the current is
divergent and cannot complete its circuit. As a result, the current accumulates
positive and negative charges that polarize the ionization. The polarization
field is given by<BR> 
<!-- MATH: $E = -\nabla\phi$ -->
<IMG
 WIDTH="73" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="img3.gif"
 ALT="$E = -\nabla\phi$">(<IMG
 WIDTH="14" HEIGHT="29" ALIGN="MIDDLE" BORDER="0"
 SRC="img4.gif"
 ALT="$\phi$"> is the scalar potential). There now
exist two sources of electric fields whose sum is given by E<IMG
 WIDTH="9" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="img5.gif"
 ALT="$^{\prime}$"><EM> = E + <U></EM><IMG
 WIDTH="15" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="img1.gif"
 ALT="$\omega$"><EM></U> </EM><IMG
 WIDTH="17" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="img2.gif"
 ALT="$\times$"><EM>
<U></EM><I>B</I></U>. The total E</EM><IMG
 WIDTH="9" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="img5.gif"
 ALT="$^{\prime}$"> current is non-divergent,
<I>i.e.</I>
</EM><IMG
 WIDTH="17" HEIGHT="15" ALIGN="BOTTOM" BORDER="0"
 SRC="img6.gif"
 ALT="$\nabla$">J = 0, and J + <IMG
 WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="img7.gif"
 ALT="$\sigma$"> E <IMG
 WIDTH="9" HEIGHT="16" ALIGN="BOTTOM" BORDER="0"
 SRC="img5.gif"
 ALT="$^{\prime}$">, where J is current density and
<IMG WIDTH="14" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="img7.gif"
 ALT="$\sigma$"> is tensor conductivity. Thus the polarization electrostatic 
 field E helps the dynamo-induced field <U></EM><IMG
 WIDTH="15" HEIGHT="14" ALIGN="BOTTOM" BORDER="0"
 SRC="img1.gif"
 ALT="$\omega$"><EM></U> </EM><IMG
 WIDTH="17" HEIGHT="28" ALIGN="MIDDLE" BORDER="0"
 SRC="img2.gif"
 ALT="$\times$"><EM>
<U></EM><I>B</I></U> to derive a current that completes the circuit.
The magnetic field of this dynamo current is that part of the geomagnetic
transient variation (Fig. 1) whose origin is in the ionosphere.
<P>
<center><img src="F1_Oke.jpg"width=450 height=450>
<p>
<small><b>Figure 1:</b>
Organogram of Geomagnetic Temporal Variation.</small></center>
<P>
The secular variation of the earth's magnetic field results from the effects
of magnetic induction in the fluid outer core and from the effects of
magnetic diffusion in the core and the mantle (Bloxham, 1992).
<P>
On the other hand transient variations can be explained by electric
currents in the mantle, the ionosphere and magnetosphere.  We will now
briefly discuss each of the variations.
<P>
The quiet-day variation refers to the magnetic variation on some days
that are free from magnetic disturbances. This comprises two parts: the
solar quiet daily variation S<SUB><I>q</I></SUB>, which depends on solar time and is a
regular diurnal variation, and the lunar daily variation L, which depends on
lunar time and is a regular semidiurnal variation. The S<SUB><I>q</I></SUB> has been found
to have diurnal variation, seasonal variation and latitudinal variation
(Chapman &amp; Bartels, 1940; Onwumechili, 1992; Okeke <EM>et al.</EM>, 1998).
The lunar daily magnetic variation (L) depends on the lunar time and
changes in form with each day of the lunar month, measured from one new moon
to the next. It is too small in amplitude to be seen by mere inspection on
magnetograms, except at stations along the magnetic equator.
<P>
It has long been noted that at the dip equator, the midday eastward
polarization field generated by global scale dynamo action gives rise to a
downward Hall current. A strong vertical polarization field is set up which
opposes the downward flow of current due to the presence of non-conducting
boundaries. This field in turn gives rise to the intense Hall current which
is called the Equatorial electrojet (EEJ).
<P>
Lately, it has been discovered that solar flares have a very big influence on
S<SUB><I>q</I></SUB> current, since they increase conductivity in the ionosphere; hence S<SUB><I>q</I></SUB>
is enhanced. Also, it was found that solar flare effect (SFE) is higher in
stations of EEJ than other stations outside the EEJ zone.
<P>
In studying the disturbances in the ionosphere it is better to consider
the outstanding disturbances called magnetic storms. Campbell (1997) noted
that dynamic processes on the sun deliver a plasma of charged particles and
associated fields to the earth's environment, causing geomagnetic
disturbances at the earth's surface referred to as `` geomagnetic'' storms.
Sometimes solar disturbances occur accompanied by enhancement of the solar
photon radiation in parts of the spectrum or by an increase in the velocity
and concentration of the solar wind to an extent that the modified portion
behaves like a cloud of denser plasma, or by ejection of more energetic
protons and electrons with such low concentration that they behave not as a
plasma, but as independent charged particles (Ratcliffe, 1972). When the
particles reach the vicinity of the earth, they produce sudden ionospheric
disturbances (SID), ionospheric storms or magnetic storms. When an intense SID
occurs, it is found that there is a simultaneous small change in the magnetic
field. The region of modified wind travels out from the sun as a supersonic
wave and, when it reaches the magnetosphere, it gives rise to several different
phenomena which include:
<UL>
<LI>a modification of the geomagnetic field, called a ``magnetic
storm'';
<LI>an increase in the intensity of the auroral luminosity at heights
around 100 km;
<LI>a change in the ionosphere, called an ``ionospheric storm.''
</UL>
<P>

<center><img src="F2_Oke.jpg">
<p>
<small><b>Figure 2:</b>
Schematic diagram of a storm-like variation (labelled Dst in Fig. 1)<br>
featuring a typical geomagnetic storm (after Kamide <I> et al.</I>, 
1998).</small></center>
<P>
Kamide <I>et al.</I> (1998) noted that in early and recent years of
research, a general picture of a typical magnetic storm presents the
features shown in Fig. 2. It comprehensively summarises the stages
during a magnetic storm. This, first, involves a sudden positive
increase in the horizontal component of the earth's magnetic field (H),
which is referred to as sudden storm commencement (SSC). This SSC is due
to a sudden increase in the solar wind arriving to the earth surface in
the form of a shock wave, which provokes the field sudden increase. Then
follows a period of arbitrary length in which the elevated field does not
change significantly: this is referred to as the <I>Initial phase</I> of the
storm.  Shortly after the enhanced solar stream reaches the magnetosphere;
there is an increase in the number of energetic particles in the
magnetospheric trapping region. When many more energetic particles move in
their trapped region around the earth, with electrons and protons in opposite
directions, they give rise to an increased ring current and hence to the
development of a depressed earth magnetic-field H-component. This decrease
in H is referred to as the <I>Main phase</I> of the magnetic storm,
transpiring over a period from one to a few hours. When new particles are
no longer injected, the ring current slowly decays for one or two days.
During this time, excess particles are lost and the magnetic field
gradually returns to its normal value; in other words the storm ends by a
slow recovery over hours to tens of hours which is referred to as the
<I>Recovery phase</I> of the magnetic storm. Note that the H-component
variation depends on latitudes.
<P>
Sometimes comparatively short-lived changes occur in the polar magnetic
field called polar or auroral substorms. They are most frequent during the
main and recovery phases of magnetic storms. They are also observed during
magnetically quiet times; Campbell (1997) noted that only the middle and the
low-latitude geomagnetic fields describe the gradual storm-time growth and
decay and that satellite observations in the magnetosphere show no single
mechanism that closely follows the main and recovery storm phases. He also
observed that the idea of substorms arose out of the need to tie together the
<EM>in situ</EM> observations of storm period bursts of activity that are linked
together on time scales shorter than the main and recovery phases. He also
noted that the intermediate substorm processes are complex and still under some
debate among upper atmospheric physicists.
<P>
<H2><A NAME="SECTION00020000000000000000">
2. Previous work</A>
</H2>
Over the decades, numerous studies have been conducted on the earth's magnetic
field and variations in the ionosphere. All of these are too extensive to
review, but a few that are relevant to this study will be reviewed.
<P>
Studies of daily variabilities of ranges of geomagnetic solar quiet daily
variation (S<SUB><I>q</I></SUB>) and its associated ionospheric parameters in low and middle
latitudes have been studied by many authors, including Chapman &amp; Stagg
(1929), Ogbuehi <I>et al.</I> (1967), Mann &amp; Schlapp (1985,
1987, 1988), Phillips &amp; Briggs (1991) and Okeke <I>et al.</I> (1998).
Also studies of day-to-day variabilities of the <I>S</I><SUB><I>q</I></SUB> daily ranges
and associated ionospheric parameters in the equatorial zone included those
of Onwumechili &amp; Ogbuehi (1965, 1967), MacDougall (1969, 1979).
<P>
On the geomagnetic disturbances, McPherron (1972), and Burch ( 1972, 1973)
showed from the results of their work that geomagnetic disturbances tend to
occur when the Interplanetary Magnetic Field (IMF) is directed southward,
while intervals of relative calm result when the IMF is directed northward,
indicating that the transfer of energy from the solar wind to the earth's
magnetosphere is more efficient when the IMF B<SUB><I>z</I></SUB> component is negative.
Extended intervals of B<SUB><I>z</I></SUB> can sometimes lead to a build-up of energy
in the magnetosphere dissipated in the form of substorms. It has long been
established that the onset of a substorm can be related to disturbances in
the solar wind and/or IMF. In most recent studies by Hortwitz (1985),
McPherron <EM>et al.</EM> (1986) and Henderson <EM>et al.</EM> (1996), it was shown
that substorm onset could also occur in the absence of major directional
changes in the IMF and with no apparent wind. Fairfield &amp; Cahill (1966)
carried out the first observations to show a positive correlation between
geomagnetic activity and the direction of the planetary magnetic field,
using data from the Explorer 12 spacecraft together with data from several
ground-based magnetometer stations.
<P>
More work has been carried out on geomagnetic activities. Lui <EM>et
al.</EM> (1990) attributed the initiation of substorms to a kinetic instability
due to particle drift across the magnetic field. Other work by Hones
<EM>et al.</EM> (1973; 1984), Nishida <EM>et al.</EM> (1981)
and Cattell <EM>et al.</EM> (1986) suggested that the initiation could be due to
the formation of a magnetic neutral line within the cross-tail current sheet
at a radial distance of about 15-20 earth radii. Lyon (1995) proposed that
the expansion phase of substorms results from a reduction in the large-scale
electric field imparted to the magnetosphere from the solar wind, following
a growth phase of 30 minutes or more due to an electrical enhancement. Lyon
(1996) pointed out the need to formulate a clearer global description of
substorms that is consistent within the ionosphere and the magnetosphere,
and which distinguishes them from other types of geomagnetic activity.
<P>
Work by Henderson <I>et al.</I> (1996) showed that magnetospheric
substorms can indeed occur in the absence of an identifiable trigger in
either the IMF or the solar wind dynamic pressure.
<P>
Fairfield & Cahill (1966) carried out an observation to show a positive
correlation between geomagnetic activity and the direction of the planetary
magnetic field, using data from the Explorer 12 spacecraft together with
data from several ground-based magnetometer stations.
<P>
<H2><A NAME="SECTION00030000000000000000">
3. Conclusion</A>
</H2>
<P>
A review is given of many studies of the geomagnetic field in the ionosphere.
In the review it is clearly seen that ground observations from a number
of stations are available; for example, magnetometer data from the auroral
stations and the stations of the European Incoherent Scatter (EISCAT)
magnetometer cross, all-sky camera data, International Monitor for Auroral
Geomagnetic Effects (IMAGE), also observations from satellites, coherent
scatter radar, etc., are also available. The recent magnetometer
measurements are being made under the beams of the Dual Aurora Network (DARN)
and super-DARN radars. However, for the very high geomagnetic latitudes
(Artic Ocean and Antarctic plateau) spaced ground-based facilities are
used in Antarctica, <I>i.e.</I> the Automatic Geophysical Observatories
(AGOs).
<P>
It has been noted that satellite observations in magnetospheres show no
single mechanism that closely follows the main and recovery storm phases. It
was also noted that the intermediate substorm processes are complex and
still under some debate. Therefore, it is necessary that more complex
observations be carried out using more modern instruments and a new
location. If the station is located in Africa, this will give room for
comparison of data obtained from other European and Asian countries. Lately,
it has been found that solar flares have a big influence on the S<SUB><I>q</I></SUB> current
and hence on the EEJ current, and that it is higher in stations of EEJ than
at other stations. Nigeria, being near the equator, experiences EEJ current
so it becomes very necessary to participate in research of activities
in the ionosphere of which EEJ is part.
<P>
Of all the works reviewed, there has not been a universally accepted cause of
the complex activities like the substorm, EEJ counter electrojet (CEJ), and
none of the operating stations are in Africa. It becomes necessary, therefore,
that since South Africa has already started with AGOs, other African countries
should support the project. It is extremely important that we have an
African-based monitoring network to be able to exchange our observations and
data with other continents. I mentioned Nigeria particularly, because there
are so many activities yet to be studied, particularly along the dip equator.
This will give better understanding and clarification of some of these complex
phenomena.
<P>
<b>References</b>
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</OL>
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<ADDRESS>
<I>WGSSA</I>
<BR><I>2000-02-28</I>
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