2. MIT Lincoln Laboratory
Propagation-3
RJG 7/31/2008
Radar Block Diagram
Transmitter
Pulse
Compression
Recording
Receiver
Tracking &
Parameter
Estimation
Console /
Display
Antenna
Propagation
Medium
Propagation
Medium
Target
Cross
Section Doppler
Processing
A / D
Waveform
Generator
Detection
Signal Processor
Main Computer
“The Soup”
3. MIT Lincoln Laboratory
Propagation-4
RJG 7/31/2008
Radar Classes
• Ground based
• Sea based
• Airborne
Nearly all radar systems operate through the
atmosphere and near the Earth’s surface
Nearly all radar systems operate through the
atmosphere and near the Earth’s surface
AEGIS
Patriot
AWACS
Courtesy of Raytheon. Used with permission.
Courtesy of U.S. Air Force.
Courtesy of U.S. Navy.
4. MIT Lincoln Laboratory
Propagation-5
RJG 7/31/2008
Propagation Effects on Radar Performance
• Atmospheric attenuation
• Reflection off of Earth’s surface
• Over-the-horizon diffraction
• Atmospheric refraction
Radar beams can be attenuated, reflected and
bent by the environment
Radar beams can be attenuated, reflected and
bent by the environment
5. MIT Lincoln Laboratory
Propagation-6
RJG 7/31/2008
What’s in the Soup?
• Atmospheric parameters vary with altitude
– Air density and humidity
– Rain rate
– Fog/cloud water content
– Index of refraction
• Atmospheric parameters vary with altitude
– Air density and humidity
– Rain rate
– Fog/cloud water content
– Index of refraction
MIT Lincoln Laboratory
02101-061
• Earth’s surface
– Surface material (water vs land)
– Surface roughness (waves, mountains)
– Earth’s curvature
• Earth’s surface
– Surface material (water vs land)
– Surface roughness (waves, mountains)
– Earth’s curvature
6. MIT Lincoln Laboratory
Propagation-7
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Outline
• Atmospheric attenuation
• Reflection from the Earth’s surface
• Over-the-horizon diffraction
• Atmospheric refraction
7. MIT Lincoln Laboratory
Propagation-8
RJG 7/31/2008
Atmospheric Attenuation at Sea Level
Radar power absorbed
by water vapor and
oxygen
Attenuation is a loss of
power characterized by L
in radar range equation
High frequencies are not well suited for long-range low-altitude surveillance
High frequencies are not well suited for long-range low-altitude surveillance
1 10 100
0.01
0.1
1
10
100
Radar Frequency (GHz)
Specific
Attenuation
(dB/km)
1
L S C
X
W
Ka
Ku
10
100
1000
10000
Total
50
km
2-Way
Attenuation
(dB)
1/10 power left
1/10000000000 power left
8. MIT Lincoln Laboratory
Propagation-9
RJG 7/31/2008
Attenuation in Rain and Fog
Radar performance at high frequencies is highly weather dependent
Radar performance at high frequencies is highly weather dependent
Figure by MIT OCW.
9. MIT Lincoln Laboratory
Propagation-10
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Outline
• Atmospheric attenuation
• Reflection from the Earth’s surface
• Over-the-horizon diffraction
• Atmospheric refraction
10. MIT Lincoln Laboratory
Propagation-11
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Interference Basics
• Two waves can interfere constructively or destructively
• Resulting field strength depends only on relative amplitude
and phase of the two waves
– Radar voltage can range from 0-2 times single wave
– Radar power is proportional to (voltage)2 for 0-4 times the power
– Interference operates both on outbound and return trips for 0-16
times the power
Destructive Interference
Constructive Interference
Wave 1 Wave2 Sum of Waves 1 + 2
11. MIT Lincoln Laboratory
Propagation-12
RJG 7/31/2008
Propagation over a Plane Earth
Reflection from the Earth’s surface results in interference of the direct
radar signal with the signal reflected off of the surface
Surface reflection coefficient ( Γ ) determines relative signal amplitudes
Dependent on: surface material, roughness, polarization, frequency
Close to 1 for smooth ocean, close to 0 for rough land
Relative phase determined by path length difference and phase shift on
reflection
Dependent on: height, range and frequency
Radar
Direct path
Multipath
Target
12. MIT Lincoln Laboratory
Propagation-13
RJG 7/31/2008
Multipath Alters Radar Detection Range
• Multipath causes elevation coverage to be broken up into a lobed
structure
• A target located at the maximum of a lobe will be detected as far as
twice the free-space detection range
• At other angles the detection range will be less than free space and in a
null no echo signal will be received
Reflection
Coefficient
Γ=-1
Γ=-0.3
Γ=0
Target Range
Target
Altitude
Radar Coverage
13. MIT Lincoln Laboratory
Propagation-14
RJG 7/31/2008
Multipath is Frequency Dependent
Lobing density increases with increased radar frequency
Lobing density increases with increased radar frequency
Reflection
Coefficient
Γ=-1
Γ=-0.3
Range
Altitude
Range
Radar Coverage
0 0.5 1 1.5 2
0
0.5
1
1.5
2
0 0.5 1 1.5 2
0
0.5
1
1.5
2
Frequency 1
2 x Frequency 1
x x
1 lobe over
distance x :
2 lobes over
distance x :
14. MIT Lincoln Laboratory
Propagation-15
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Outline
• Atmospheric attenuation
• Reflection from the Earth’s surface
• Over-the-horizon diffraction
• Atmospheric refraction
15. MIT Lincoln Laboratory
Propagation-16
RJG 7/31/2008
Tsunami Diffracting
around Peninsula
Diffraction
• Radar waves are diffracted around the curved Earth just as
ocean waves are bent by an obstacle
• Web references for excellent water wave photographic
examples:
– http://upload.wikimedia.org/wikipedia/commons/b/b5/Water_diffraction.jpg
– http://yhspatriot.yorktown.arlington.k12.va.us/~ckaldahl/wave.gif
• The ability of radar to propagate beyond the horizon depends
upon frequency and radar height
Courtesy of NOAA / PMEL / Center for Tsunami Research.
See animation at http://nctr.pmel.noaa.gov/animations/Aonae.all.mpg
16. MIT Lincoln Laboratory
Propagation-17
RJG 7/31/2008
Propagation Over Round Earth
• Interference region
– Located within line of sight radar
• Diffraction region
– Below radar line of sight
– Signals are severely attenuated
Interference
Region
Tangent
Ray
Diffraction
Region
Earth
Radar
17. MIT Lincoln Laboratory
Propagation-18
RJG 7/31/2008
Combined Diffraction and Multipath
vs Radar Frequency
• Low altitude multipath detection: favors higher frequencies
• Diffraction detection:
– Favors lower frequencies
– Is tough at any frequency
100 ft altitude
at 60 km
Geometric Horizon
X-Band
Lowest multipath lobe is plotted
100 ft altitude
60 dB L-band loss
80 dB X-band loss
L-Band
18. MIT Lincoln Laboratory
Propagation-19
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Outline
• Atmospheric attenuation
• Reflection from the Earth’s surface
• Over-the-horizon diffraction
• Atmospheric refraction
19. MIT Lincoln Laboratory
Propagation-20
RJG 7/31/2008
Refraction of Radar Beams
Radar rays bend downwards due to decreasing index of refraction of air with altitude
Same effect as refraction of light beam shining from water into air
Figure by MIT OCW.
20. MIT Lincoln Laboratory
Propagation-21
RJG 7/31/2008
Earth’s Radius Modified to Account for
Refraction Effects
Atmospheric refraction is accounted for by replacing the actual Earth
radius a, in calculations, by an equivalent earth radius ka and
assuming straight line propagation
4/3 is a typical value for k
Average propagation is referred to as a “4/3 Earth”
Average propagation is referred to as a “4/3 Earth”
Figure by MIT OCW.
21. MIT Lincoln Laboratory
Propagation-22
RJG 7/31/2008
Anomalous Propagation
• Occurs when k not equal to 4/3
• Categorized as: superrefraction, subrefraction and ducting
– Superrefraction extends the radar horizon
– Subrefraction limits the radar horizon
– Ducting traps radar energy near the Earth’s surface
4/3 Earth Radius 4/3 Earth Radius
Subrefraction
Superrefraction
Ducting
22. MIT Lincoln Laboratory
Propagation-23
RJG 7/31/2008
No Surface Duct Surface Duct
Ducting Effects on Target Detection
Ducting extends low-altitude detection ranges but can
cause unexpected holes in radar coverage
Ducting extends low-altitude detection ranges but can
cause unexpected holes in radar coverage
Target seen
Target not seen
23. MIT Lincoln Laboratory
Propagation-24
RJG 7/31/2008
Ducted Clutter from New England
Ducting conditions can extend horizon to extreme ranges
Ducting conditions can extend horizon to extreme ranges
50 km range rings
PPI Display
24. MIT Lincoln Laboratory
Propagation-25
RJG 7/31/2008
Radar Propagation Effects Summary
1 10 100
0.01
0.1
1
10
100
Radar Frequency (GHz)
Specific
Attenuation
(dB/km)
L S C
X
W
Ka
Ku
Atmospheric Attenuation Multipath and Diffraction
Multipath Reflection
Refraction (Ducting)
4/3 Earth Radius
Reflection
Coefficient
Γ=-1
Γ=-0.3
Γ= 0
Range
Altitude
Target seen
Target not seen
Geometric Horizon
X-Band
L-Band
60 dB L-band loss
80 dB X-band loss
25. MIT Lincoln Laboratory
Propagation-26
RJG 7/31/2008
References
• Skolnik, M., Introduction to Radar Systems, New York,
McGraw-Hill, 3rd Edition, 2001
• Skolnik, M., Radar Handbook, New York, McGraw-Hill, 2rd
Edition, 1990