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
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 sin2ft
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)