The document discusses fundamental parameters of antennas including radiation pattern, directivity, radiation resistance and efficiency, power gain, bandwidth, reciprocity, effective aperture, beamwidth and directivity, the Friis formula for antennas in free space, and polarization matching. It provides definitions and explanations of these key antenna parameters over multiple pages with diagrams and equations. The document is a lecture on basic antenna topics from a professor to students.
1. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
RADIATION & PROPOGATION
-Fundamental Parameters ofAntennas
AJAL.A.J
Assistant Professor –Dept of ECE,
UNIVERSAL ENGINEERING COLLEGE
Mob: 8907305642 MAIL: ec2reach@gmail.com
2. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
An antenna is away of converting the guided waves
present in a waveguide,feeder cable or transmission line
into radiating waves travelling in free space, or vice
versa.
4. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
O nly accelerating charges produce radiation.
Idealized
Point Radiator Vertical Dipole Radar Dish
Isotropic Omnidirectional Directional
5. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
Two fields regions:
oNear field or Fresnel region: The region within the
radius of the smallest sphere which completely encloses
the antenna is called Fresnel region.
In sitting an antenna ,it’
s crucial to keep objects out of
the near field region to avoid coupling the currents in the
antenna with objects.
oFar Field or Fraunhofer region:The region beyond
Fresnel region is called Fraunhofer region
6. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
Antenna parameters are:
1.Radiation Pattern
2.Directivity
3.Radiation Resistance and Efficiency
4.Power Gain
5.Bandwidth
6.Reciprocity
7.EffectiveAperture
8.Beamwidth and Directivity
9.The Friis Formula:Antennas in Free Space
10.Polarisation Matching
7. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
The radiation pattern of an antenna is a plot of the far-
field radiation from the antenna.More specifically
,it is a
plot of the power radiated from an antenna per unit solid
angle,or its radiation intensity U [watts per unit solid
angle].This is arrived at by simply multiplying the power
density at a given distance by the square of the distance r
,
where the power density S [watts per square metre] is
given by the magnitude of the time-averaged Poynting
vector:
U=r^²S
8. Radiation Intensity
Aside on Solid Angles
arclength
1.0rad
r
1.0sr
surfacearea r2
total circumfrance 2 radians o
total surface area S 4 r2
r2
So
sr
r2
ds r2
sin()d d
infinitesimal area
of surface of sphere
r2
d
ds
sin()d d
9. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
Antenna parameters are:
1.Radiation Pattern
2.Directivity
3.Radiation Resistance and Efficiency
4.Power Gain
5.Bandwidth
6.Reciprocity
7.EffectiveAperture
8.Beamwidth and Directivity
9.The Friis Formula:Antennas in Free Space
10.Polarisation Matching
10. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
The directivity D of an antenna,a function of direction
is defined by the ratio of radiation intensity of antenna in
direction to the mean radiation intensity in all
directions
11. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
Antenna parameters are:
1.Radiation Pattern
2.Directivity
3.Radiation Resistance and Efficiency
4.Power Gain
5.Bandwidth
6.Reciprocity
7.EffectiveAperture
8.Beamwidth and Directivity
9.The Friis Formula:Antennas in Free Space
10.Polarisation Matching
12. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
The resistive part of the antenna impedance is split into two parts,a
radiation resistance Rr and a loss resistance Rl.The power dissipated in
the radiation resistance is the power actually radiated by the antenna,and
the loss resistance is power lost within the antenna itself.This may be due
to losses in either the conducting or the dielectric parts of the antenna.
Radiation efficiency e of the antenna as e is the ratio of power radiated
to the power accepted by antenna
antenna with high radiation efficiency therefore has high associated
radiation resistance compared with the losses.The antenna is said to be
resonant if its input reactance Xa =0.
13. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
Antenna parameters are:
1.Radiation Pattern
2.Directivity
3.Radiation Resistance and Efficiency
4.Power Gain
5.Bandwidth
6.Reciprocity
7.EffectiveAperture
8.Beamwidth and Directivity
9.The Friis Formula:Antennas in Free Space
10.Polarisation Matching
14. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
The power gain G,or simply the gain,of an antenna is
the ratio of its radiation intensity to that
of an isotropic antenna radiating the same total power
as accepted by the real antenna.When
antenna manufacturers specify simply the gain of an
antenna they are usually referring to the
maximum value of G.
15. Antenna Gain
G(,) 4
U(,)
Pinput
POWERDENSITYINACERTAINDIRECTION
DIVIDEDBYTHETOTALPOWERRADIATED
POWERDENSITYINACERTAINDIRECTION
DIVIDEDBYTHETOTALINPUTPOWER
TOTHEANTENNATERMINALS(FEEDPOINTS)
IFANTENNAHASOHMICLOSS…
THEN, GAIN <DIRECTIVITY
DIRECTIVITY
GAIN
16. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
Antenna parameters are:
1.Radiation Pattern
2.Directivity
3.Radiation Resistance and Efficiency
4.Power Gain
5.Bandwidth
6.Reciprocity
7.EffectiveAperture
8.Beamwidth and Directivity
9.The Friis Formula:Antennas in Free Space
10.Polarisation Matching
17. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
The bandwidth of an antenna expresses its ability to
operate over awide frequency range. It is often defined
as the range over which the power gain is maintained to
within 3dB of its maximum value,or the range over
which the VSWR is no greater than 2:1,whichever is
smaller.The bandwidth is usually given as a percentage of
the nominal operating frequency
.The radiation
pattern of an antenna may change dramatically outside
its specified operating bandwidth
18. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
Antenna parameters are:
1.Radiation Pattern
2.Directivity
3.Radiation Resistance and Efficiency
4.Power Gain
5.Bandwidth
6.Reciprocity
7.EffectiveAperture
8.Beamwidth and Directivity
9.The Friis Formula:Antennas in Free Space
10.Polarisation Matching
19. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
Reciprocity theorem:
Ifa voltageisappliedtotheterminalsof an antennaAand
the current measured at the terminals of another antenna B
thenan equalcurrentwillbeobtainedattheterminalsof
antennaAifthesamevoltageisappliedtotheterminalsof
antenna B.
20. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
Antenna parameters are:
1.Radiation Pattern
2.Directivity
3.Radiation Resistance and Efficiency
4.Power Gain
5.Bandwidth
6.Reciprocity
7.EffectiveAperture
8.Beamwidth and Directivity
9.The Friis Formula:Antennas in Free Space
10.Polarisation Matching
21. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
EffectiveAperture
If an antenna is used to receive a wave with a power density S [W m2],it will produce a
power in its terminating impedance (usually a receiver input impedance) of Pr watts.The
constant of proportionality between Pr and S isAe,the effective aperture of the antenna in
square metres:
Pr = AeS
For some antennas,such as horn or dish antennas,the aperture has an obvious physical
interpretation,being almost the same as the physical area of the antenna,but the concept is
just as valid for all antennas.The effective aperture may often be very much larger than the
physical area,especially in the case of wire antennas.Note, however
,that the effective
aperture will reduce as the efficiency of an antenna decreases.
The antenna gain G is related to the effective aperture as follows
G=4pi/ (lamda)2Ae
23. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
Antenna parameters are:
1.Radiation Pattern
2.Directivity
3.Radiation Resistance and Efficiency
4.Power Gain
5.Bandwidth
6.Reciprocity
7.EffectiveAperture
8.Beamwidth and Directivity
9.The Friis Formula:Antennas in Free Space
10.Polarisation Matching
24. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
The directivity of an antenna increases as its beamwidth is
made smaller,as the energy
radiated is concentrated into a smaller solid angle
25. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
Antenna parameters are:
1.Radiation Pattern
2.Directivity
3.Radiation Resistance and Efficiency
4.Power Gain
5.Bandwidth
6.Reciprocity
7.EffectiveAperture
8.Beamwidth and Directivity
9.The Friis Formula:Antennas in Free Space
10.Polarisation Matching
26. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
P
Dto Dro
2
r
Pt 4 R
29. FriisTransmissionEquation(noloss)
Antenna#2
Antenna#1
t
Pt Dgt (t ,t )
4 R2
W
rr)
tt)
R
ThetransmittedpowerdensitysuppliedbyAntenna#1
at adistance Randdirection rr) is givenby:
Thepowercollected(received)byAntenna#2is givenby:
r
gr r r
4
( , )2
t gt t t
4 R2
t gt t t
4 R2
PD ( , ) PD ( , ) D
Dgt (t ,t )Dgr (r ,r )
2
Pt 4 R
P
r
A
Pr Wt Ar
31. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
Antenna parameters are:
1.Radiation Pattern
2.Directivity
3.Radiation Resistance and Efficiency
4.Power Gain
5.Bandwidth
6.Reciprocity
7.EffectiveAperture
8.Beamwidth and Directivity
9.The Friis Formula:Antennas in Free Space
10.Polarisation Matching
32. AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
The polarisation mismatch loss is the ratio between
the power received by the antenna and the power
which would be received by an antenna perfectly
matched to the incident wave