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Electromagnetic Waves 
 Radio wave has both electric (E) field and magnetic 
(H) field 
 E and H fields are transverse i.e. at right angles to the 
direction of the wave propagation 
 E and H are mutually perpendicular i.e. at right 
angles to each other 
 E and H are in phase 
 Velocity of electromagnetic waves in free space is 
equal to c (speed of light ≈ 3 × 108 m/s) 
 In other media, the velocity can be less than c
Antenna 
 Antenna = metallic conductor system capable of 
radiating and capturing electromagnetic energy 
 In a free-space radio communications system, 
 At transmitter 
 Antenna converts electrical energy travelling along a 
transmission line into electromagnetic waves that are 
emitted into space 
 At receiver 
 Antenna converts electromagnetic waves in space into 
electrical energy on a transmission line
 Waveguide = special type of transmission line that 
consists of conducting metallic tube through which 
high-frequency electromagnetic energy is propagated 
 Radio waves = electrical energy that has escaped into 
free space in the form of transverse electromagnetic 
waves
Basic antenna operation 
 Size of antenna is inversely proportional to frequency 
 High-frequency waves require small antenna 
 Low-frequency waves require large antenna 
 Every antenna has directional characteristics i.e. it 
radiates more energy in certain directions relative 
to other directions
Radiation Pattern 
 Radiation pattern = polar diagram or graph representing 
field strengths or power densities at various angular 
positions relative to an antenna 
 Terms: 
 Major lobe(s) = the primary beam(s) 
 Minor lobe(s) = secondary beam(s) 
 Front lobe = front of the antenna, where the major lobe is 
 Side lobe(s) = lobe(s) adjacent to the front lobe 
 Back lobe = lobe in a direction exactly opposite to the front 
lobe 
 Line of shoot = the line bisecting the major lobe (pointing 
from the center of antenna to the direction of maximum 
radiation)
 Major lobes propagates/receives the most energy 
 Minor lobes normally represent undesired 
radiation/reception 
 Radiation from an actual antenna is 3-dimensional. 
Therefore, radiation patterns are taken in both the 
horizontal and vertical planes
Near Field and Far Field 
 Near field 
 Radiation field that is close to the antenna 
 Power in this field is continuously radiated and returned 
back to the antenna 
 Far field 
 Radiation field that is far from the antenna 
 Power that reaches the far field continues to radiate 
outward and is never returned to the antenna
Near Field and Far Field
 Not all the power supplied to antenna is radiated. 
Some are lost as heat 
 Radiation resistance: 
P 
R rad 
2 i 
r  
Rr = radiation resistance (Ω) 
Prad = power radiated by antenna (W) 
i = antenna current at the feedpoint (A)
 Antenna efficiency: 
rad 
P 
 100 
η = antenna efficiency (%) 
Prad = radiated power (W) 
Pin = input power (W) 
in 
P 

 In terms of resistance and current, antenna efficiency 
is: 
100 
R 
r 
R  
R 
 
r e 
 
η = antenna efficiency (%) 
Rr = radiation resistance (Ω) 
Re = effective antenna resistance (Ω)
Antenna Gain 
 Directive gain: 
D  P 
P 
ref 
D = directive gain (no unit) 
P = power density at some point with a given antenna 
(W/m2) 
P ref = power density at the same point with a reference 
antenna (W/m2)
 Power gain, Ap: 
A D p  
D = directive gain (no unit) 
η = antenna efficiency
Example 1 
 Given a transmit antenna with radiation resistance Rr = 
72 Ω, effective antenna resistance Re = 8 Ω, directive 
gain D = 20, and input power Pin = 100 W. Calculate: 
 Antenna efficiency 
 Antenna gain 
 Radiated power in watts and dBm
Friis Transmission 
 Friis Transmission Equation is used for calculating 
the power received by the receiver antenna from 
the transmitter antenna. 
 The transmitter and receiver are separated by a certain 
distance R 
 Both antennas are operating at a certain frequency f
Friis Equation 
P G G c 
P PLF T T R 
R 
 2 
2 
4 
( ) 
Rf 
 
 
 PLF = Polarization Loss Factor 
 PT = transmitted power (W) 
 PR = received power (W) 
 GT = transmitter gain 
 GR = receiver gain 
 c = speed of light (ms-1) 
 f = frequency of operation (Hz) 
 R = separation distance between antennas (m) 
Note: PLF = 1 if both antennas are polarization-matched
Basic Antenna 
 The simplest type of antenna is the elementary doublet 
 Elementary doublet has uniform current throughout its 
length. Instantaneous value of the current: 
i(t)  I sin2ft   
i(t) = instantaneous current (A) 
I = peak amplitude of the RF current (A) 
f = frequency (Hz) 
t = instantaneous time (s) 
θ = phase angle (rad)
Antenna Noise Temperature 
 Antenna noise temperature = a parameter which 
describes how much noise an antenna produces in an 
environment 
 Types of antenna noise: 
 Noise due to the loss resistance of the antenna itself 
 Noise picked up from the surroundings 
 Power radiated by a noise source, when intercepted by 
an antenna, generates power PA at its terminals
 Antenna temperature, TA = equivalent temperature 
associated with the received power PA 
P kT f A A  
PA = received power (W) 
K = Boltzmann’s constant (≈ 1.38 × 10-23 J/K) 
Δf = frequency band (Hz) 
TA = antenna temperature (K)

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Antenna and propagation

  • 1.
  • 2. Electromagnetic Waves  Radio wave has both electric (E) field and magnetic (H) field  E and H fields are transverse i.e. at right angles to the direction of the wave propagation  E and H are mutually perpendicular i.e. at right angles to each other  E and H are in phase  Velocity of electromagnetic waves in free space is equal to c (speed of light ≈ 3 × 108 m/s)  In other media, the velocity can be less than c
  • 3. Antenna  Antenna = metallic conductor system capable of radiating and capturing electromagnetic energy  In a free-space radio communications system,  At transmitter  Antenna converts electrical energy travelling along a transmission line into electromagnetic waves that are emitted into space  At receiver  Antenna converts electromagnetic waves in space into electrical energy on a transmission line
  • 4.  Waveguide = special type of transmission line that consists of conducting metallic tube through which high-frequency electromagnetic energy is propagated  Radio waves = electrical energy that has escaped into free space in the form of transverse electromagnetic waves
  • 5. Basic antenna operation  Size of antenna is inversely proportional to frequency  High-frequency waves require small antenna  Low-frequency waves require large antenna  Every antenna has directional characteristics i.e. it radiates more energy in certain directions relative to other directions
  • 6. Radiation Pattern  Radiation pattern = polar diagram or graph representing field strengths or power densities at various angular positions relative to an antenna  Terms:  Major lobe(s) = the primary beam(s)  Minor lobe(s) = secondary beam(s)  Front lobe = front of the antenna, where the major lobe is  Side lobe(s) = lobe(s) adjacent to the front lobe  Back lobe = lobe in a direction exactly opposite to the front lobe  Line of shoot = the line bisecting the major lobe (pointing from the center of antenna to the direction of maximum radiation)
  • 7.  Major lobes propagates/receives the most energy  Minor lobes normally represent undesired radiation/reception  Radiation from an actual antenna is 3-dimensional. Therefore, radiation patterns are taken in both the horizontal and vertical planes
  • 8. Near Field and Far Field  Near field  Radiation field that is close to the antenna  Power in this field is continuously radiated and returned back to the antenna  Far field  Radiation field that is far from the antenna  Power that reaches the far field continues to radiate outward and is never returned to the antenna
  • 9. Near Field and Far Field
  • 10.  Not all the power supplied to antenna is radiated. Some are lost as heat  Radiation resistance: P R rad 2 i r  Rr = radiation resistance (Ω) Prad = power radiated by antenna (W) i = antenna current at the feedpoint (A)
  • 11.  Antenna efficiency: rad P  100 η = antenna efficiency (%) Prad = radiated power (W) Pin = input power (W) in P 
  • 12.  In terms of resistance and current, antenna efficiency is: 100 R r R  R  r e  η = antenna efficiency (%) Rr = radiation resistance (Ω) Re = effective antenna resistance (Ω)
  • 13. Antenna Gain  Directive gain: D  P P ref D = directive gain (no unit) P = power density at some point with a given antenna (W/m2) P ref = power density at the same point with a reference antenna (W/m2)
  • 14.  Power gain, Ap: A D p  D = directive gain (no unit) η = antenna efficiency
  • 15. Example 1  Given a transmit antenna with radiation resistance Rr = 72 Ω, effective antenna resistance Re = 8 Ω, directive gain D = 20, and input power Pin = 100 W. Calculate:  Antenna efficiency  Antenna gain  Radiated power in watts and dBm
  • 16. Friis Transmission  Friis Transmission Equation is used for calculating the power received by the receiver antenna from the transmitter antenna.  The transmitter and receiver are separated by a certain distance R  Both antennas are operating at a certain frequency f
  • 17. Friis Equation P G G c P PLF T T R R  2 2 4 ( ) Rf    PLF = Polarization Loss Factor  PT = transmitted power (W)  PR = received power (W)  GT = transmitter gain  GR = receiver gain  c = speed of light (ms-1)  f = frequency of operation (Hz)  R = separation distance between antennas (m) Note: PLF = 1 if both antennas are polarization-matched
  • 18. Basic Antenna  The simplest type of antenna is the elementary doublet  Elementary doublet has uniform current throughout its length. Instantaneous value of the current: i(t)  I sin2ft   i(t) = instantaneous current (A) I = peak amplitude of the RF current (A) f = frequency (Hz) t = instantaneous time (s) θ = phase angle (rad)
  • 19. Antenna Noise Temperature  Antenna noise temperature = a parameter which describes how much noise an antenna produces in an environment  Types of antenna noise:  Noise due to the loss resistance of the antenna itself  Noise picked up from the surroundings  Power radiated by a noise source, when intercepted by an antenna, generates power PA at its terminals
  • 20.  Antenna temperature, TA = equivalent temperature associated with the received power PA P kT f A A  PA = received power (W) K = Boltzmann’s constant (≈ 1.38 × 10-23 J/K) Δf = frequency band (Hz) TA = antenna temperature (K)

Notas del editor

  1. http://www.ve7zsa.net/technical/advsgtxt/c15antenna_r00.htm
  2. http://www.drillingcontractor.org/the-abcs-of-rfid-physics-oilfield-usage-14030
  3. http://www.antenna-theory.com/basics/friis.php
  4. http://www.antenna-theory.com/basics/friis.php
  5. www.ece.mcmaster.ca/faculty/nikolova/antenna_dload/.../L07_Noise.pdf
  6. www.ece.mcmaster.ca/faculty/nikolova/antenna_dload/.../L07_Noise.pdf