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Antenna array
DEFINITION
+ An antenna array is a system of
similar antennas oriented similarly
to get greater directivity in a
desired direction.
An antenna array is a combination
of two or more antenna elements
that can be placed in a specific
geometry
Elements
Individual antennas of an antenna array system are called
elements
Uniform linear array
In which the elements are fed with currents of equal
magnitude with uniform progressive phase shift along the
line.
Antenna Array types
Based on the geometrical arrangement antenna arrays are of 3 types
1. Linear antenna arrays
Ina linear antenna array, antenna elements are placed along one axis
2.Planar antenna arrays
e.g., square, rectangle, circle etc
3.Conformal antenna arrays
e.g., a sphere, cylinder, paraboloid, etcAdvantages of antenna arrays
1.Higher directivity + te
2.Lower side lobes
3.Narrow beam : =
4.Steerable beam(radiation direction change).
In an array of identical elements, there are at least five controls
that can be used to shape the overall pattern of the antenna.
These are:
1. The geometrical configuration of the overall array (linear,
circular, rectangular, spherical, etc.)
. The relative displacement between the elements
. The excitation amplitude of the individual elements
. The excitation phase of the individual elements
. The relative pattern of the individual elements
Uk WN
Antenna types based on radiation patterns
1.Broad side array
2.End fire array
3.Collinear array
4.Parasitic arrayAn antenna, when individually can radiate an
amount of energy, in a particular direction, resulting
in better transmission, how it would be if few more
elements are added it, to produce more efficient
output. It is exactly this idea, which led to the
invention of Antenna arrays.
An antenna array can be better understood by
observing the following images. Observe how the
antenna arrays are connected.An antenna array is a radiating system, which
consists of individual radiators and elements. Each
of this radiator, while functioning has its own
induction field. The elements are placed so closely
that each one lies in the neighbouring one's
induction field. Therefore, the radiation pattern
produced by them, would be the vector sum of the
individual ones. The following image shows another
example of an antenna array.The spacing between the elements and the length
of the elements according to the wavelength are
also to be kept in mind while designing these
antennas.
The antennas radiate individually and while in array,
the radiation of all the elements sum up, to form the
radiation beam, which has high gain, high directivity
and better performance, with minimum losses.
NahrantananAdvantages
The following are the advantages of using antenna
arrays —
5 The signal strength increases
5 High directivity is obtained
5 Minor lobes are reduced much
® High Signal-to-noise ratio is achieved
® High gain is obtained
5 Power wastage is reduced
5 Better performance is obtained
Disadvantages
The following are the disadvantages of array
antennas -
5 Resistive losses are increased
5 Mounting and maintenance is difficult
5 Huge external space is requiredApplications
The following are the applications of array antennas
Used in satellite communications
Used in wireless communications
Used in military radar communications
Used in the astronomical studyTypes of Arrays
The basic types of arrays are -
® Collinear array
Broad side array
End fire array
Parasitic array
Yagi-Uda array
& Log-peroidic array
& Turnstile array
& Super-turnstile arrayArray factor
¢ The array factor is the ratio of the magnitude of
resultant field to the magnitude of the maximum
field.
Ed
|Emaxl
But Es =2 a
Nae Le — me)
rae 2
A.F. = rr fe]Principle of Pattern
Multiplication
Antenna & Wave Propagation
1. The principle of pattern multiplication states that
“the radiation pattern of an array is the product of the
pattern of the individual antenna with the array pattern
of isotropic point sources each located at the phase
centre of the individual source.”
2. The array pattern is a function of the location of the
antennas in the array and their relative complex
excitation amplitudes.
3. The phase centre of the array is the reference point
for total phase pattern.
4. Advantage: It helps to sketch the radiation pattern
of array antennas rapidly from the simple product of
element pattern and array pattern.5. Disadvantage: This principle is only applicable for
arrays containing identical elements.
6. The principle of pattern multiplication is true for any
number of similar sources.
7. Total phase pattern is the addition of the phase
pattern of the individual sources and that of the array
of isotropic point sources.
The resultant pattern of an array of non-isotropic
identical radiators is given by
E=[f (8, @) x F (6, @)] * [fp (8, b) + Fr (8, b)]
where,
f (8, db) = element field pattern
fp (8, @) = element phase pattern
F (6, #) = array factor of isotropic elements
Fp (8, @) = phase pattern of the array of isotropic
elements.
The angles 6 and @ respectively represent the polar
and azimuth angles.Applications
A few of the applications of the Yagi antenna are:
e Yagi UDA antennas are employed in TV signal
reception as this antenna holds good receiving
capability.
¢ Used in defense applications.
e Employed in the astronomical domain.
e Also used in radio astronomy.__/ Yagi-Uda Antenna
Yagi-Uda antenna is the most commonly used type of antenna for TV reception over the last
few decades. It is the most popular and easy-to-use type of antenna with better performance,
which is famous for its high gain and directivity
Frequency range
The frequency range in which the Yagi-Uda antennas operate is around 30 MHz to 3GHz
which belong to the VHF and UHF bands.
Folded dipole
ty)
Reflector Dipole Director
ose. O4SA O55
|
035k 025AAdvantages, Disadvantages and Applications of Yagi-Uda Antenna
Advantages
The following are the advantages of Yagi-Uda antennas
“ High gain is achieved.
High directivity is achieved.
+ Ease of handling and maintenance.
Less amount of power is wasted.
Broader coverage of frequencies.
Se ate ot
ee ae
Se
%
Disadvantages
The following are the disadvantages of Yagi-Uda antennas
* Prone to noise.
Prone to atmospheric effects.
Applications
The following are the applications of Yagi-Uda antennas
Mostly used for TV reception.
« Used where a single-frequency application is needed.Applications
A few of the applications of the Yagi antenna are:
e Yagi UDA antennas are employed in TV signal
reception as this antenna holds good receiving
capability.
¢ Used in defense applications.
e Employed in the astronomical domain.
e Also used in radio astronomy.A folded dipole is an antenna, with two conductors connected on both sides,
Folded Dipole Antenna
and folded to form a cylindrical closed shape, to which feed is given at the
center. The length of the dipole is half of the wavelength. Hence, it is called
as half wave folded dipole antenna. The directivity of Folded dipole
Antenna is bi-directional. The input impedance is higher.
Frequency range
The range of frequency in which half wave folded dipole operates is around
3KHz to 300GHz. This is mostly used in television receivers.
If the Radii of the 2 conductors are equal, then equal currents in both the
conductors, in the same direction, i.e currents are equal in magnitude and
phase in the 2 dipoles.
The total power developed in folded dipole is equal to that developed in the
conventional dipoles, therefore the input or terminal impedance of folded
dipole is greater than that of the conventional dipole. It can be proved that
the input impedance at the terminals of a folded dipole antenna is equal to
the square of number of conductors comprising the antenna times the
impedance at the terminals of a conventional dipole.120° 60"
150 oo
180" o
210" 30°
0 —“300"
270
Side view
7 Advantages
‘The following are the advantages of half-wave folded dipole antenna —
= Reception of balanced signals.
* Receives a particular signal from a band of frequencies without losing
the quality.
A folded dipole maximizes the signal strength.
High input impedance
Wide band in frequency
Acts as built in reactance components network
Disadvantages
The following are the disadvantages of half-wave folded dipole antenna —
* Displacement and adjustment of antenna is a hassle.
* Outdoor management can be difficult when antenna size increases.
Applications
The following are the applications of half-wave folded dipole antenna —
"Mainly used as a feeder element in Yagi antenna, Parabolic antenna,
turnstile antenna, log periodic antenna, phased and reflector arrays, etc.
"Generally used in radio receivers.
\ "Most commonly used in TV receiver antennas.Two point sources with current of
equal magnitude but with opposite phaseTwo point sources with current of
equal magnitude but with opposite phase
7 W ny P
ae iz eg) oy
Rearranging the term in above equation } y
we get,
ee
ae fe cere
\ iv
Pee
By Trigonometric identity,
E, seed
7
2
But Phase angle = W = B dcos@Two point sources with current of
equal magnitude but with opposite phase
Maxima direction
¢ The total field is maximum when a ed Merb alla
¢ Hence condition for maximum field is given by
Paw xe oC") Va
aT ea ) Sol,
¢ Consider Spacing between point source d =
ees or) Sei
oe’) = sin-+(+1) aaa CL , Where n = 0,1,2...
If n =0, thenBem Sei meleca-M Uae me
equal magnitude but with opposite phase
ir me Lieve Cela)
(a)
3
¢ The total field is minima when sin Meal ite
¢ Hence condition for minima field is given by
Paw 4 :xelels\) ae
i ore
* Consider Spacing between point source d =
. (1 _
: sin(=cosd) =0
ae sin71(0) =+ nz, Where n = 0,1,2...
If n =0, then
orc =0
Din = 90° or 270°Two point sources with current of
equal magnitude but with opposite phase
Half power point direction
¢ The condition for Half power point is given by
a ed) 9g
eae
aes eo) a =
eo) = +(2n+1)5, Where n = 0,1,2...
If n =0, then
= COSB ppp =e n
ook
Dippp = 60° or 120°Two point sources with current of
equal magnitude but with opposite phas
Field patternTwo point sources with current of
equal magnitude and with same phase
Let the distance between point
P and point sources A, and A,
lol om eur ]aleM Om a=s) 01-100 NYZ-1VA
As these radial distances are
extremely large as compared &
with the distance of separation
between two point sources d,
we Can assume,
rn ore f
The radiation from the point
source A, will reach earlier at
point P than that from point
source A, because of the path
Ola cnaceTwo point sources with current of
equal magnitude and with same phase
* Hence Path difference is given by,
Path difference = d cos@
¢ Path difference can be expressed
in terms of wavelength as,
Path difference = d a
Phase angle =W = 2n(Path difference)
(o[exe)17)
er iv )
p= an uO
But Phase shift = £8 = ais
W =f dcos@ radTwo point sources with current of
equal magnitude and with same phase
oPTwo point sources with current of
equal magnitude and with same phaseTwo point sources with current of
equal magnitude and with same phaseTwo point sources with current of
equal magnitude and with same phase
Maxima direction
But B = i
cos(* or) iat
po ei cos-1+1=+n1,
Where n = 0,1,2...
If n =0, then
is
2 (of0)1 Ed 0)
Dimax = 90° or 270°Two point sources with current of
equal magnitude and with same phase
Minima direction
core cong = 0
y
ot omen Oe aaCAne ees Vise Ren ae
(On ae
man Onder
ne
> COS
5 COSO
@.,,, = 0
minTwo point sources with current of
equal magnitude and with same phase
Half power point direction
* The condition for Half power point is given by
oo aed =+ a
eye
cos(= oe) ae
ee <
NI
a
3 =cos71(+4) = 7 _
- cos@ = cos (+ 7 = a CAS Ore Where n = 0,1,2...
If n =0, then
sid ue
paca — rm"
eh is 7
Dippy = 60° or 120°Two point sources with current of
equal magnitude and with same phase
atalem e-1aclaalReflector length = 0.495*A
Dipoe length = 0.473*A
Director length = 0.440*}
Reflector to Dipole spacing = 0.125*)
Dipole to Director spacing = 0.125*}
A=e/f
A-Wavelength in meters
c-Velocity of propagation in air(3*10“8m/s)
f-Carrier frequency in MHzYagi Antenna Calculator
Operating Frequency in
MHz (input1) :
Reflector Length
Output#1):
0.1649999999999¢
Dipole Length
Output#2):
0.1576666666666¢
Director length
Output#3):
0.1466666666666¢
Reflector to Dipole
Spacing (Output#4):
0.0416666666666¢
Dipole to Director
Spacing (Output#5):
0.0416666666666¢EXAMPLE 1: Consider an array of four elements
(isotropic or non-directional):
Fig: Array of four elements
« Elements are spaced at A/2.
« Elements 1 and 2 are considered as one unit, 3 and
4 are considered as one unit.
e Since the elements are identical, both the units
have the same radiation pattern.
¢ The unit pattern is the pattern of two elements
spaced at A/2, given below:d=2/2, a=
Fig: Pattern of
two isotropic
elements spaced
M2
* The units represented by A and B are separated by
A. These two units are considered to be one unit
whose radiation pattern is shown below:
IK— *»§—4
Fig: Pattern of two isotropic elements
separated by A¢ Therefore, the resultant pattern is given by the
product of unit pattern (A/2 spacing) of 1 and 2
elements or 3 and 4 elements and a group pattern
(A spacing) of A and B.
e
e
x
|
Unit pattern Group pattern Resultant pattem
Fig: Resultant pattern of four isotropic elements
spaced at A/2