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RADAR HORIZON / LINE OF SIGHT
There are limits to the reach of radar signals. At the frequencies normally used for radar, radio waves usually
travel in a straight line. The waves may be obstructed by weather or shadowing, and interference may come from other
aircraft or from reflections from ground objects (Figure 1).
As also shown in Figure 1, an aircraft may not be detected because it is below the radar line which is tangent
to the earths surface.
Some rules of thumb are:
Range (to horizon):
Range (beyond horizon / over earth curvature):
In obtaining the radar horizon equations, it is common practice to assume a value for the Earth's radius that is
4/3 times the actual radius. This is done to account for the effect of the atmosphere on radar propagation.
For a true line of sight, such as used for optical search and rescue, the constant in the equations changes from
1.23 to 1.06.
A nomograph for determining maximum target range is depicted in Figure 2. Although an aircraft is shown to the
left, it could just as well be a ship, with radars on a mast of height "h". Any target of height (or altitude) "H"
is depicted on the right side.
See also Section 51 on ducting and refraction, which may increase range beyond these distances.
This data was expanded in Figure 3 to consider the maximum range one aircraft can detect another aircraft using:
It can be used for surface targets if _{target} = 0. It should be noted that most aircraft radars are
limited in power output, and would not detect small or surface objects at the listed ranges.
Other general rules of thumb for surface "targets/radars" are:
For Visual SAR:
For ESM:
Figure 4 depicts the maximum range that a ship height antenna can detect a zero height object (i.e. rowboat etc).
In this case "H" = 0, and the general equation becomes:
Where h_{r} is the height of the radar in feet.
Table of Contents for Electronics Warfare and Radar Engineering Handbook
Introduction 
Abbreviations  Decibel  Duty
Cycle  Doppler Shift  Radar Horizon / Line
of Sight  Propagation Time / Resolution  Modulation
 Transforms / Wavelets  Antenna Introduction
/ Basics  Polarization  Radiation Patterns 
Frequency / Phase Effects of Antennas 
Antenna Near Field  Radiation Hazards 
Power Density  OneWay Radar Equation / RF Propagation
 TwoWay Radar Equation (Monostatic) 
Alternate TwoWay Radar Equation 
TwoWay Radar Equation (Bistatic) 
Jamming to Signal (J/S) Ratio  Constant Power [Saturated] Jamming
 Support Jamming  Radar Cross Section (RCS) 
Emission Control (EMCON)  RF Atmospheric
Absorption / Ducting  Receiver Sensitivity / Noise 
Receiver Types and Characteristics 
General Radar Display Types 
IFF  Identification  Friend or Foe  Receiver
Tests  Signal Sorting Methods and Direction Finding 
Voltage Standing Wave Ratio (VSWR) / Reflection Coefficient / Return
Loss / Mismatch Loss  Microwave Coaxial Connectors 
Power Dividers/Combiner and Directional Couplers 
Attenuators / Filters / DC Blocks 
Terminations / Dummy Loads  Circulators
and Diplexers  Mixers and Frequency Discriminators 
Detectors  Microwave Measurements 
Microwave Waveguides and Coaxial Cable 
ElectroOptics  Laser Safety 
Mach Number and Airspeed vs. Altitude Mach Number 
EMP/ Aircraft Dimensions  Data Busses  RS232 Interface
 RS422 Balanced Voltage Interface  RS485 Interface 
IEEE488 Interface Bus (HPIB/GPIB)  MILSTD1553 &
1773 Data Bus 
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 Radar Equation, 2Way
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