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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
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.
Radiation Pattern Lobes
Main lobe
Full Null Beamwidth
Between
1st NULLS
Side lobes
Back lobes
AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
O nly accelerating charges produce radiation.
Idealized
Point Radiator Vertical Dipole Radar Dish
Isotropic Omnidirectional Directional
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
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
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
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
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
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
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
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.
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
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.
Antenna Gain
G(,)  4
U(,)
Pinput
POWERDENSITYINACERTAINDIRECTION
DIVIDEDBYTHETOTALPOWERRADIATED
POWERDENSITYINACERTAINDIRECTION
DIVIDEDBYTHETOTALINPUTPOWER
TOTHEANTENNATERMINALS(FEEDPOINTS)
IFANTENNAHASOHMICLOSS…
THEN, GAIN <DIRECTIVITY
DIRECTIVITY
GAIN
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
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
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
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.
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
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
Effective Aperture
planewave
incident
Aphysical
Pload
?
Pload  AphysicalWinc
Question:
Answer: UsuallyNOT
inc
W

Pload
Poad
l  Aeff Winc  Aeff
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
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
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
AJAL.A.J- AP ECE UNIVERSAL ENGG COLLEGE
P
 Dto Dro

2

r
 
Pt  4 R 

DirectivityandMaximumEffectiveAperture
(nolosses)
Antenna#2
transmit receiver
R
Directionof wavepropagation
Antenna#1
Atm, Dt
Arm, Dr

2
Aem
4
Do
DirectivityandMaximumEffectiveAperture
(includelosses)
Antenna#2
transmit receiver
R
Directionof wavepropagation
Antenna#1
Atm, Dt
Arm, Dr
* 2
a
o w
cd
em
4
D ̂  ̂
A  e (1 
2
)

2
conductorand
dielectriclosses
reflectionlosses
(impedancemismatch)
polarizationmismatch
FriisTransmissionEquation(noloss)
Antenna#2
Antenna#1
t
Pt Dgt (t ,t )
4 R2
W 
rr)
tt)
R
ThetransmittedpowerdensitysuppliedbyAntenna#1
at adistance Randdirection rr) 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 
FriisTransmissionEquation(noloss)
Antenna#2
Antenna#1
rr)
tt)
R
 Dgt (t ,t )Dgr (r ,r )

2
Pt  4 R 
P  
r
 
If bothantennasarepointingin the directionof theirmaximumradiation pattern:
 DtoDro

2
r
 
Pt  4 R 
P  
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
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
Appendices
FriisTransmissionEquation: Example#1
Atypical analogcellphoneantenna hasadirectivity of3dBi atits operatingfrequencyof
800.0MHz. Thecelltoweris1mileawayandhasanantennawithadirectivity of6dBi.
Assumingthatthepowerattheinputterminalsofthetransmittingantennais0.6W,and
theantennas arealignedfor maximumradiation betweenthemandthepolarizations are
matched,findthepowerdeliveredtothereceiver.Assumethetwoantennasarewell
matchedwithanegligibleamount of loss.
r
0.375
24 1.65nW



2



P  0.6 watts
4 1609.344
* 2
2
2 2
ˆa
w
t
r
cdt cdr
t
P
max max
ˆ
4 R
Dr  
 D


Pr   
 e e (1  )(1 t )
= 0 = 0
= 1
= 1 = 1
r
t
Dmax
106/10
 4.0
Dmax
103/10
 2.0
 0.375m
3e8
f 800e6
 
c

FriisTransmissionEquation: Example#2
Ahalfwavelengthdipoleantenna(max gain= 2.14dBi)isused tocommunicate froman
oldsatellitephonetoaloworbitingIridiumcommunicationsatelliteintheLband (~1.6
GHz).Assumethecommunicationsatellitehasantennathathas amaximum directivity of
24dBiandisorbiting atadistanceof 781kmabovetheearth.Assumingthatthepowerat
theinputterminalsof thetransmitting antennais 1.0W,andtheantennas arealignedfor
maximumradiationbetweenthemandthepolarizationsarematched,findthepower
deliveredtothereceiver.Assumethetwoantennasarewellmatchedwithanegligible
amountofloss.
r
 1.64251 0.15 pW


2

 0.1875
P 1.0 watts
4 781,000
* 2
2
2 2
ˆa
w
t
r
cdt cdr
t
P
max max
ˆ
4 R
Dr  
 D


Pr   
 e e (1  )(1 t )
= 0 = 0
= 1
= 1 = 1
r
t
Dmax
1024/10
 251.0
Dmax
102.14/10
1.64
 0.1875m
3e8
f 800e6
 
c

FriisTransmissionEquation: Example#2
Aroof-top dishantenna(maxgain=40.0dBi) is usedtocommunicate fromanoldsatellite
phonetoaloworbiting Iridiumcommunicationsatellite in theKuband(~ 12GHz).
Assumethecommunicationsatellitehasantennathathasamaximumdirectivity of30dBi
andisorbiting atadistance of36,000kmabovetheearth. Howmuchtransmitter poweris
requiredtoreceive100pWofpoweratyourhome.Assumetheantennasarealignedfor
maximumradiationbetweenthemandthepolarizationsarematched,findthepower
deliveredtothereceiver.Assumethetwoantennasarewellmatchedwithanegligible
amountofloss.
t  82 W


 0.025 
2
P 
100 1012
watts
  10,0001000
4 36,000,000
* 2
2
2 2
ˆa
w
t
r
cdt cdr
t
P
max max
ˆ
4 R
Dr  
 D


Pr   
 e e (1  )(1 t )
= 0 = 0
= 1
= 1 = 1
t
r
Dmax
1030/10
1000.0
Dmax
1040/10
10,000
3e8
f 800e6
 
c
  0.025m

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antenna2-140117111353-phpapp02.pptx

  • 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.
  • 3. Radiation Pattern Lobes Main lobe Full Null Beamwidth Between 1st NULLS Side lobes Back lobes
  • 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
  • 22. Effective Aperture planewave incident Aphysical Pload ? Pload  AphysicalWinc Question: Answer: UsuallyNOT inc W  Pload Poad l  Aeff Winc  Aeff
  • 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  
  • 28. DirectivityandMaximumEffectiveAperture (includelosses) Antenna#2 transmit receiver R Directionof wavepropagation Antenna#1 Atm, Dt Arm, Dr * 2 a o w cd em 4 D ̂  ̂ A  e (1  2 )  2 conductorand dielectriclosses reflectionlosses (impedancemismatch) polarizationmismatch
  • 29. FriisTransmissionEquation(noloss) Antenna#2 Antenna#1 t Pt Dgt (t ,t ) 4 R2 W  rr) tt) R ThetransmittedpowerdensitysuppliedbyAntenna#1 at adistance Randdirection rr) 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 
  • 30. FriisTransmissionEquation(noloss) Antenna#2 Antenna#1 rr) tt) R  Dgt (t ,t )Dgr (r ,r )  2 Pt  4 R  P   r   If bothantennasarepointingin the directionof theirmaximumradiation pattern:  DtoDro  2 r   Pt  4 R  P  
  • 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
  • 34. FriisTransmissionEquation: Example#1 Atypical analogcellphoneantenna hasadirectivity of3dBi atits operatingfrequencyof 800.0MHz. Thecelltoweris1mileawayandhasanantennawithadirectivity of6dBi. Assumingthatthepowerattheinputterminalsofthetransmittingantennais0.6W,and theantennas arealignedfor maximumradiation betweenthemandthepolarizations are matched,findthepowerdeliveredtothereceiver.Assumethetwoantennasarewell matchedwithanegligibleamount of loss. r 0.375 24 1.65nW    2    P  0.6 watts 4 1609.344 * 2 2 2 2 ˆa w t r cdt cdr t P max max ˆ 4 R Dr    D   Pr     e e (1  )(1 t ) = 0 = 0 = 1 = 1 = 1 r t Dmax 106/10  4.0 Dmax 103/10  2.0  0.375m 3e8 f 800e6   c 
  • 35. FriisTransmissionEquation: Example#2 Ahalfwavelengthdipoleantenna(max gain= 2.14dBi)isused tocommunicate froman oldsatellitephonetoaloworbitingIridiumcommunicationsatelliteintheLband (~1.6 GHz).Assumethecommunicationsatellitehasantennathathas amaximum directivity of 24dBiandisorbiting atadistanceof 781kmabovetheearth.Assumingthatthepowerat theinputterminalsof thetransmitting antennais 1.0W,andtheantennas arealignedfor maximumradiationbetweenthemandthepolarizationsarematched,findthepower deliveredtothereceiver.Assumethetwoantennasarewellmatchedwithanegligible amountofloss. r  1.64251 0.15 pW   2   0.1875 P 1.0 watts 4 781,000 * 2 2 2 2 ˆa w t r cdt cdr t P max max ˆ 4 R Dr    D   Pr     e e (1  )(1 t ) = 0 = 0 = 1 = 1 = 1 r t Dmax 1024/10  251.0 Dmax 102.14/10 1.64  0.1875m 3e8 f 800e6   c 
  • 36. FriisTransmissionEquation: Example#2 Aroof-top dishantenna(maxgain=40.0dBi) is usedtocommunicate fromanoldsatellite phonetoaloworbiting Iridiumcommunicationsatellite in theKuband(~ 12GHz). Assumethecommunicationsatellitehasantennathathasamaximumdirectivity of30dBi andisorbiting atadistance of36,000kmabovetheearth. Howmuchtransmitter poweris requiredtoreceive100pWofpoweratyourhome.Assumetheantennasarealignedfor maximumradiationbetweenthemandthepolarizationsarematched,findthepower deliveredtothereceiver.Assumethetwoantennasarewellmatchedwithanegligible amountofloss. t  82 W    0.025  2 P  100 1012 watts   10,0001000 4 36,000,000 * 2 2 2 2 ˆa w t r cdt cdr t P max max ˆ 4 R Dr    D   Pr     e e (1  )(1 t ) = 0 = 0 = 1 = 1 = 1 t r Dmax 1030/10 1000.0 Dmax 1040/10 10,000 3e8 f 800e6   c   0.025m