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Electromagnetic Waves
 Electromagnetic wave consists of oscillating electric
and magnetic fields in certain directions with
propagate .
 Propagate through free space at the velocity of light
Electromagnetic Radiation
 Includes radio waves, light, X-rays, gamma rays
VLF 3 – 30 kHz
LF 30 – 300 kHz
MF 300 – 3000 kHz
HF 3 – 30 MHz
VHF 30 – 300 MHz
UHF 300 – 3000 MHz
Radio waves of our interest
TEM Propagation
 Radio waves in space are transverse
electromagnetic waves (TEM)
 Electric field, magnetic field and direction
of travel of the wave are mutually
perpendicular
 Waves will propagate through free space
and dielectrics
 Conductors have high losses due to induced
current
Propagation Velocity
 Speed of light in free space: 3 108 m/s
 In dielectric and plasma the velocity of propagation is
lower:
r
c
v
Electromagnetic Waves
 Wavelength is :
fV p
/
Where,
Vp is the phase velocity
is the wavelength
f is the frequency
Ohm’s Law in Space
HEZ /
Electric and Magnetic Fields
 For waves we use the following units:
 Electric field strength E (V/m) Magnetic field
strength H (A/m) Power density PD (W/m2)
 Ohm’s law holds if characteristic impedance Z of
medium is used
 For free space, Z = 377 Ohm
Power Density
EH
H
E
PD
Z
Z
2
2
Plane and Spherical Waves
 Waves from a point in space are spherical
 Plane waves are easier to analyze
 At a reasonable distance from the source,
spherical waves look like plane waves, as long
as only a small area is observed
Isotropic
antenna
radiating
equally in
every
direction
Free-space Propagation
 Assume an isotropic radiator at the center of a
sphere
 Let receiving antenna be on surface of sphere
 As we move farther from transmitter the amount
of power going through the surface remains the
same but surface area increases
Power flux density
Power flux density= E X H
Geometrical loss
2
4πr
PPD
Because of the power P on the spherical surface is constant
for every spherical surface (4π r2 ) we consider, the power
flux density at the distance r from the isotropic antenna must
decrease as 1/4πr2.
If an isotropic antenna radiates 10 W of power at the
distance of 1 km the power flux density (PD)is about 0.796
microW/m2
Attenuation of Free Space
 Power density is reduced with increasing
distance r
 Power density is total power divided by
surface area of sphere
 Unit: watts/meter
2
4 r
P
P t
D
Free Space Electric Field
 Electric field strength is relatively easy to
measure
 Often used to specify signal strength
 Unit: volts/meter
r
P
E t
30
Absorption
 No absorption in free space
 EM wave are absorbed in atmosphere as energy is
transferred to atoms and molecules
 Electromagnetic waves are absorbed in the
atmosphere according to wavelength. Two
compounds are responsible for the majority of
signal absorption: oxygen (O2) and water vapor
(H2O).
 Absorption below 10 Ghz is quit insignificant
Reflection
 Specular reflection: smooth surface
 Angle of incidence = angle of reflection
 Diffuse reflection: rough surface
 Reflection in all directions because angle of
incidence varies over the surface due to its
roughness
Specular Reflection
Diffuse reflection
Polarization
 Polarization of a wave is the direction of the
electric field vector
 Linearly polarized waves have the vector in
the same direction at all times
 Horizontal and vertical polarization are common
 Circular and elliptical polarization are also
possible
 It is a physical orientation of radiated waves
in space
Circular polarization
linear polarization
Cross Polarization
 If transmitting and receiving antennas have
different polarization, some signal is lost
 Theoretically, if the transmitting and
receiving polarization angles differ by 90
degrees, no signal will be received
 A circularly polarized signal can be received,
though with some loss, by any linearly
polarized antenna
Refraction
 Refraction takes place when EM wave pass from
one medium to another medium with diff density.
 Atmospheric density changes with height
 Slight refraction of wave
 Increases Radio horizon
Refraction
 Occurs when waves move from one medium to
another with a different propagation velocity
 Index of refraction n is used in refraction
calculations
r
n
Snell’s Law
 Angles are measured with respect to the
normal to the interface
2211
sinsin nn
refraction
Angle of Refraction
 If n1<n2 then ray bends toward the normal (away
from the interface)
 If n1>n2 then ray bends away from the normal
(toward the interface)
Diffraction
 Occurs when radiation passes an object with
dimensions small compared with wavelength
 The object appears to act as a source of radiation
 Allows radio stations to be received on the shadow
side of obstacles
EM WAVE PROPAGATION
Layer of atmosphere
Terrestrial Propagation
 Propagation over earth’s surface
 Different from free-space propagation
 Curvature of the earth
 Effects of the ground
 Obstacles in the path from transmitter to receiver
 Effects of the atmosphere, especially the
ionosphere
Ground-Wave Propagation
 Happens at relatively low frequencies
 up to about 2 MHz
 Only works with vertically polarized waves
 Waves follow the curvature of earth
 range varies from worldwide at 100 kHz and less to
about 100 km at AM broadcast band frequencies
(approx. 1 MHz)
Ionospheric Propagation
 Useful mainly in HF range (3-30 MHz)
 Signals are refracted in ionosphere and returned
to earth
 Worldwide communication is possible using
multiple “hops”
Ionospheric Layers
 D layer: height approx. 60-90 km
 E layer: height approx. 90-150 km
 F1 layer: height approx. 150-250 km
 F2 layer: height approx. 250-400 km
 D, E layers disappear at night
 F layers combine into one at night
Ionospheric Activity
 More ionization causes signals to bend more
 Ionization caused by solar radiation
 greater during daytime
 greater during sunspot cycle peaks (we are about at
a decreasing value now-2004)
 D,E layers are less highly ionized than F layer and
usually just absorb signals
Refraction of Signals
 Bending of signals by atmosphere decreases with
increasing frequency
 Bending of signals by atmosphere increases with
increasing ionization
Daytime Propagation
 D and E layers absorb lower frequencies, below
about 8-10 MHz
 F layers return signals from about 10-30 MHz
Nighttime Propagation
 D, E layers disappear
 F layer returns signals from about 2-10 MHz
 Higher frequencies pass through ionosphere into
space
Ionospheric Sounding
 Transmit signal straight up
 Note the maximum frequency that is returned
 This is the critical frequency
Important Frequencies in HF
Propagation
 Critical frequency
 Highest frequency that is returned to earth
 Maximum Usable Frequency (MUF)
 Highest frequency that is returned at a given point
 MUF= fcsecθ
 Optimum Working Frequency (OWF)
 85% of MUF for more reliable communication
Skip Zone
 Region between maximum ground-wave distance
and closest point where sky waves are returned
from the ionosphere,
Fundamentals of EM Waves

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Fundamentals of EM Waves

  • 1.
  • 2. Electromagnetic Waves  Electromagnetic wave consists of oscillating electric and magnetic fields in certain directions with propagate .  Propagate through free space at the velocity of light
  • 3. Electromagnetic Radiation  Includes radio waves, light, X-rays, gamma rays VLF 3 – 30 kHz LF 30 – 300 kHz MF 300 – 3000 kHz HF 3 – 30 MHz VHF 30 – 300 MHz UHF 300 – 3000 MHz Radio waves of our interest
  • 4.
  • 5. TEM Propagation  Radio waves in space are transverse electromagnetic waves (TEM)  Electric field, magnetic field and direction of travel of the wave are mutually perpendicular  Waves will propagate through free space and dielectrics  Conductors have high losses due to induced current
  • 6.
  • 7. Propagation Velocity  Speed of light in free space: 3 108 m/s  In dielectric and plasma the velocity of propagation is lower: r c v
  • 8. Electromagnetic Waves  Wavelength is : fV p / Where, Vp is the phase velocity is the wavelength f is the frequency
  • 9. Ohm’s Law in Space HEZ /
  • 10. Electric and Magnetic Fields  For waves we use the following units:  Electric field strength E (V/m) Magnetic field strength H (A/m) Power density PD (W/m2)  Ohm’s law holds if characteristic impedance Z of medium is used  For free space, Z = 377 Ohm
  • 12. Plane and Spherical Waves  Waves from a point in space are spherical  Plane waves are easier to analyze  At a reasonable distance from the source, spherical waves look like plane waves, as long as only a small area is observed
  • 14. Free-space Propagation  Assume an isotropic radiator at the center of a sphere  Let receiving antenna be on surface of sphere  As we move farther from transmitter the amount of power going through the surface remains the same but surface area increases
  • 15. Power flux density Power flux density= E X H
  • 16. Geometrical loss 2 4πr PPD Because of the power P on the spherical surface is constant for every spherical surface (4π r2 ) we consider, the power flux density at the distance r from the isotropic antenna must decrease as 1/4πr2. If an isotropic antenna radiates 10 W of power at the distance of 1 km the power flux density (PD)is about 0.796 microW/m2
  • 17. Attenuation of Free Space  Power density is reduced with increasing distance r  Power density is total power divided by surface area of sphere  Unit: watts/meter 2 4 r P P t D
  • 18. Free Space Electric Field  Electric field strength is relatively easy to measure  Often used to specify signal strength  Unit: volts/meter r P E t 30
  • 19. Absorption  No absorption in free space  EM wave are absorbed in atmosphere as energy is transferred to atoms and molecules  Electromagnetic waves are absorbed in the atmosphere according to wavelength. Two compounds are responsible for the majority of signal absorption: oxygen (O2) and water vapor (H2O).  Absorption below 10 Ghz is quit insignificant
  • 20.
  • 21. Reflection  Specular reflection: smooth surface  Angle of incidence = angle of reflection  Diffuse reflection: rough surface  Reflection in all directions because angle of incidence varies over the surface due to its roughness
  • 24. Polarization  Polarization of a wave is the direction of the electric field vector  Linearly polarized waves have the vector in the same direction at all times  Horizontal and vertical polarization are common  Circular and elliptical polarization are also possible  It is a physical orientation of radiated waves in space
  • 27.
  • 28. Cross Polarization  If transmitting and receiving antennas have different polarization, some signal is lost  Theoretically, if the transmitting and receiving polarization angles differ by 90 degrees, no signal will be received  A circularly polarized signal can be received, though with some loss, by any linearly polarized antenna
  • 29. Refraction  Refraction takes place when EM wave pass from one medium to another medium with diff density.
  • 30.  Atmospheric density changes with height  Slight refraction of wave  Increases Radio horizon
  • 31. Refraction  Occurs when waves move from one medium to another with a different propagation velocity  Index of refraction n is used in refraction calculations r n
  • 32. Snell’s Law  Angles are measured with respect to the normal to the interface 2211 sinsin nn
  • 34. Angle of Refraction  If n1<n2 then ray bends toward the normal (away from the interface)  If n1>n2 then ray bends away from the normal (toward the interface)
  • 35. Diffraction  Occurs when radiation passes an object with dimensions small compared with wavelength  The object appears to act as a source of radiation  Allows radio stations to be received on the shadow side of obstacles
  • 37.
  • 39. Terrestrial Propagation  Propagation over earth’s surface  Different from free-space propagation  Curvature of the earth  Effects of the ground  Obstacles in the path from transmitter to receiver  Effects of the atmosphere, especially the ionosphere
  • 40. Ground-Wave Propagation  Happens at relatively low frequencies  up to about 2 MHz  Only works with vertically polarized waves  Waves follow the curvature of earth  range varies from worldwide at 100 kHz and less to about 100 km at AM broadcast band frequencies (approx. 1 MHz)
  • 41.
  • 42. Ionospheric Propagation  Useful mainly in HF range (3-30 MHz)  Signals are refracted in ionosphere and returned to earth  Worldwide communication is possible using multiple “hops”
  • 43. Ionospheric Layers  D layer: height approx. 60-90 km  E layer: height approx. 90-150 km  F1 layer: height approx. 150-250 km  F2 layer: height approx. 250-400 km  D, E layers disappear at night  F layers combine into one at night
  • 44. Ionospheric Activity  More ionization causes signals to bend more  Ionization caused by solar radiation  greater during daytime  greater during sunspot cycle peaks (we are about at a decreasing value now-2004)  D,E layers are less highly ionized than F layer and usually just absorb signals
  • 45. Refraction of Signals  Bending of signals by atmosphere decreases with increasing frequency  Bending of signals by atmosphere increases with increasing ionization
  • 46. Daytime Propagation  D and E layers absorb lower frequencies, below about 8-10 MHz  F layers return signals from about 10-30 MHz
  • 47. Nighttime Propagation  D, E layers disappear  F layer returns signals from about 2-10 MHz  Higher frequencies pass through ionosphere into space
  • 48. Ionospheric Sounding  Transmit signal straight up  Note the maximum frequency that is returned  This is the critical frequency
  • 49. Important Frequencies in HF Propagation  Critical frequency  Highest frequency that is returned to earth  Maximum Usable Frequency (MUF)  Highest frequency that is returned at a given point  MUF= fcsecθ  Optimum Working Frequency (OWF)  85% of MUF for more reliable communication
  • 50. Skip Zone  Region between maximum ground-wave distance and closest point where sky waves are returned from the ionosphere,