lec 1terms and definitionss
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Antenna Parameters
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• An antenna or aerial is a device for radiating
or receiving electromagnetic waves.• There is little fundamental difference between
transmitting and receiving antennas since
very often same antenna is used for bothpurpose as in radar.
• Antennas are also defined as “a metallic
device” (as a rod or wire for radiating or receiving radio waves)
Antenna
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• Since antennas play a very important part in a
comm systems, it is essential to have thorough
understanding of the principles on which they
perform their task efficiently.
• In the past ants have been treatedsomewhat differently from the sys in which
they are used.
• But in recent years ants are designed alongsidethe system. This is because it is essential to
know the system performance as a whole rather
than that of the antenna alone.
Antenna
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Electromagnetic Waves
• em waves
Em waves
• How radio waves are producedradio waves
• Impedance matching impedance matching
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Radiation Pattern
An ant radiation pattern or antenna pattern is
defined as a mathematical function or a
graphical representation of the radiation
properties of the antennas as function of space
coordinates.
In most of the cases determined in the Far Field
Region.
Radiation properties include power flux density,
radiation intensity, field strength, directivity
phase or polarization.
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Radiation Pattern
The radiation property of most concern is the
two or three dimensional spatial distribution of
radiated energy as a function of the observer’s
position along a path or surface of constant
radius.
Received power at a constant radius is called
power pattern & E/H field as field pattern.
In simple words it is also defined as angular
variation of radiation around the antenna.
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2-D Radiation Patterns
Linear Power Power (dB)
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3-D Radiation Pattern
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Radiation Pattern Lobes
Various parts of radiation pattern are referred to
as lobes which may be sub classified into major or main, minor, side and back lobes.
A radiation lobe is a portion of the radiation
pattern bounded by regions of relatively weakradiation intensity.
A major lobe (also called main learn) is defined
as “the radiation lobe containing the direction of
maximum radiation”. A minor lobe is any lobe except a major lobe. All
the lobes with the exception of the major lobe
can be classified as minor lobes.
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Radiation Pattern Lobes
A side lobe is “a radiation lobe in any direction
other than the intended lobe”. Usually a side
lobe is adjacent to the main lobe and occupies
the hemisphere in the direction of main beam.
A back lobe is radiation lobe whose axis makes
on angle of approximately 180° wrt beam of an
antenna. Usually it refers to a minor lobe that occupies
the hemisphere in a direction opposite to that of
the major lobe.
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Radiation Pattern Lobes
Level of minor lobe db (that lobe/main
lobe)
Minor lobes < -20 db not desirable
If not minimized in radars – false target
indication
Minor lobes usually represent radiation inundesired directions and they should be
minimized.
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Radiation Lobes
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On Linear Scale
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Field RegionsThe space surrounding an antenna is
usually subdivided into three regions:- –Reactive Near Field
–Radiating Near Field (Fresnel)
–Far Field (Fraunhofer)
These regions are so designated to
identify the field structure in each.
Although no abrupt changes in the field
configurations
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Field Regions
Although no abrupt changes in the field
configurations are noted as the
boundaries are crossed, there are distinct
differences amongs them.The boundaries separating these regions
are not unique although various criteriahave been established and are commonly
used to identify regions.
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Reactive Near Field
• It is defined as that portion of the near field region
immediately surrounding the antenna wherein the
reactive field predominates:-
• For most antennas the outer boundary of this region is
commonly taken to exist at a distance
from the ant where D is the largest dimension of the
antenna and is the ware length.
• For a very short dipole it is taken as
3
62.0 D R
2
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Radiating Near Field
• Defined as that region of the field of an antenna between
the reactive near-field region and the far-field whereinthe radiation fields predominate and wherein the angular
field distribution is dependent upon the distance from the
antenna.
• For an antenna focused at infinity, the radiating near fieldregion is sometimes reerredf to as Fresnel region.
• If an antenna has a max overall dimension which is very
small compared to the wavelength this field region may
not exist.• This region is b/w and
22 D R
3
62.0 D R
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Far Field (Frounhofer)
• That region of the field of an antenna where the
angular field distribution is essentially independent
of the distance from antenna.
• If the antenna has a maximum overall dimension D,
the far field is commonly taken to exist at a distance
greater than from antenna.
• For an antenna focused at infinity, the far field
region is sometimes referred to as the Fraunhofer
region on the basis of analogy to optical
terminology.
2
2 D
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Radian and Steradian
•Radian
– A measure of a plane angle is a radian.
– One radian is defined as” the plane angle with its
vertex at the centre of a circle of radius r that is
subtended by an are whose length is r.
– Since the circumference of a circle of radius r is
there are rad ( ) in a full circle.
r C 2
r 2r
r 2
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Radian and Steradian
• Steradian
– The measure of a solid angle is a steradian.
– One steradian is defined as “ the solid angle with its vertex
at the centre of a sphere of radius r that is subtended by aspherical surface area equal to that of a square with each
side of length r.
– Since the area of a sphere of radius r is there are
( ) in a closed sphere. – The infinitesimal area dA on the surface of a sphere of
radius r is
– Therefore the element of solid angle of a sphere can
be written as
24 r A
2
24
r
r
d r dA sin2
2
m
d
sr d d d sin
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A t G i
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Antenna Gain
Another useful measure describing the performance of an
antenna is the gain. Although the gain of the antenna is closely
related to the directivit
It is a measures that takes into account the efficiency of the
antenna as well as its directional capabilities.
Absolute gain of an antenna (in a given direction) is defined as “
the ratio of the intensity in a given direction to the radiation
intensity that would be obtained if the power accepted by the
antenna were radiated isotropically.
Mathematically represented as:-
Gain = radiation intensity
total input (accepted) power
4
A t G i
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Antenna Gain
An atternate way to define antenna gain is :-G = Power radiated by an ant
Power radiated by ref ant
The i/p power to both the antenna is the same and the reference
ant generally chosen is an isotrope.
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Polarization Polarization is defined as “that property of the
electromagnetic wave describing the time varyingdirection and relative magnitude of the electric field
vector; specially the figure traced out as a function of
time by the extremity of the vector at a fixed location in
space and the sense in which it is traced as observed
along the direction of propagation.
Polarization is the curve traced out by the end point of
the arrow representing the instantaneous electric field.
The field must be observed along the direction of
propagation. Polarization can be classified as linear, circular or
elliptical. If the vector that describes the electric field at a
point in space as a function of time is always directed
along a line, the field is said to be linearly polarized.
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Polarization (contd) In general however, the figure that the electric field
traces is an ellipse and the field is said to be ellipticallypolarized.
Linear and circular polarizations are special cases of
elliptical and they can be obtained when the ellipse
becomes a straight line or a circle respectively.
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Polarization (rotation of wave)
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Polarization Ellipse
polarization
Radiation Resistance
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Radiation Resistance
• An important property of a transmitting ant is its radiation
resistance which is associated with the power radiated by the
ant. If
I = rms ant current
= antenna radiation resistance
Then power radiated is I2 watts where is a fictitious
resistance which accounts for the radiated power somewhatlike a acct resistance which dissipates heat.
• The radiation resistance should be large as the greater is,
the greater the power radiated by ant.
• In contrast, for a receiving antenna its i/p impedance isimportant. The i/p impedance is defined as the ratio of voltage
to correct at its i/p and it should be matched to connecting lines
or cables.
• The i/p impedance may or may not equal to its radiation
resistance, though very often it does.
r R
r R r
R
r R
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Effective Length
• An antenna with a non-uniform distribution of current
over its length l can be considered as having a shorter
effective length le over which the current is assumed to
be uniform and equal to its peak value. The relationship
b/w le and l is given by:-
= area under non – uniform current distribution
area under uniform peak current distributionl
l e
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Effective Aperture
• The power received by an antenna can be associated with a
collecting area. Every antenna may be considered to have
such a collecting area which is called its effective aperture A.
• If is the power density at the antenna and is the received
power then.
• = A watts
or
For an antenna with power gain G, the effective aperture A atthe operating wavelength λ is given by
d P
r P
r P
d P
2m
P
P A
d
r
4
2G
A
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