The
Indian ionosphere is characterized by large horizontal
gradients, intense irregularities, large dayto- day
variations and equatorial anomaly conditions, there
is clear necessity to thoroughly understand the ionospheric
time delay effects on the GPS signals. The ionospheric
delay error is a function of Total electron content
(TEC) which is one of the dominant errors.
The ionosphere is the upper part of the earth’s
atmosphere between approximately 60 to 70 and 900 -
1000 km above the earth. The signal propagation is mainly
affected by free charged particles. As the GPS signals
travel through the medium, it is slowed down in a proportion
that varies according to time of the day, solar activity
etc. When light travels through the ionosphere it slows
down at a rate inversely proportional to its frequency
squared. The generation of ions and electrons in ionosphere
is proportional to the radiation intensity of the sun,
and to the gas density. Chapman profile is an indicative
of the number of ions produced as a function of height.
The exact shape of the pro?le and the related numerical
numbers depend on several parameters. The spatial distribution
of electrons and ions is mainly controlled by insolation
of the sun and consequent motion of ionized layers.
These processes create different layers of ionized gas
in different heights. The main layers are known as the
D, E, F1 and F2 layers . In particular, the F1 –
layer, located directly below the F2 – layers,
shows large variations that correlate with the respective
sun spot number. The four principle layers are designated
with height domains corresponding to approximately to
60- 90 km (D layer), 90-140 km (E layer) 140- 200 km
(F1 layer) 200 -1000 km (F2 layer). Also, geomagnetic
infiuences play an important role.
Hence, signal propagation is affected by solar activity,
near the geomagnetic equator, and in high latitudes.
Near the geomagnetic equator, the earth’s magnetic
field is horizontal along with the orthogonal dynamo
electric field at E region heights. The electric field
is eastward during the day and westward during the night.
As a consequence, the dynamic eastward field ionospheric
plasma from equatorial F region moves upward and then
diffuses downward along the
sloping magnetic field lines to low altitudes on both
sides of the equator. The electron concentration is
thus depleted on the magnetic equator and
enhanced in two regions, one on each side. The phenomenon
is known as equatorial ionization anomaly. Due to the
variable insolation of the sun the spatial distribution
of the layers varies during the day. The D-layer is
only generated at the daylight side the earth. The distribution
of ionospheric plasma is also affected by solar and
magnetic disturbances like occurrence of solar flares
etc. There is a short term i.e. 27 days and long term
i.e. 11 years periodicity in solar activity. A radio
signal when penetrates the ionosphere is modified by
the medium due to the presence of electrons in the earth’s
magnetic field. The impact of the state of the ionosphere
on the propagation of waves is characterized by the
electrons content . The electron density is quantified
by counting the number of electron in a vertical column
with a cross sectional area of one square meter called
TEC. The TEC is a function of amount of solar radiation.
On the night side of the earth, the free electrons have
a tendency to recombine with the ions, there by reducing
the TEC. As a consequence, the TEC above a particular
observation station on the earth has a strong diurnal
variation.
The ionosphere is a disperse medium for radio waves.
Dispersion or differential time delay due to the ionosphere,
causes pulse distortion and produces a difference in
pulse arrival time across a band width Δf. If Ne
is electron density then approximate correction “a”
for the delay in signal propagation with reference to
phase velocity component can be computed from
a = 1 – 40.3 Ne / f2.
The correction for group velocity component “b”
is
b = 1 + 40.3 Ne / f2.
The effect of ionosphere on the phase and group velocity
is equal in magnitude but has a different sign. The
relationships for a and b indicate that the index of
refraction, and thus the time delay of signal propagation,
is proportional to the inverse of the squared frequency.
Consequently, one part of the ionospheric delay can
be modeled when two frequencies are used. |