Sav
= Time average power density in W/m²
Pt
= Power transmitted in watts
G
= Antenna gain relative to an isotrope
r
= Distance from antenna to point in meters
POWER
DENSITY TO VOLTS/METER IN FREE SPACE
E² (V / m) = 377 Sav
(W / m²)
Sav
(W / m²) = E² (V / m) / 377
1
V / m = 2.65 mW / m²
POWER
GAIN. In a given direction,
4 times the ratio of the radiation intensity in that direction
to the net power accepted by the antenna from the connected transmitter.
Note: (1) When the direction is not stated, the power
gain is usually taken to be the power gain in the direction of
its maximum value. (2) Power gain does not include reflection
losses arising from mismatch of impedance.
POWER
GAIN IN PHYSICAL MEDIA. In a
given direction and at a given point in the far field the ratio
of the power flux per unit area from an antenna to the power
flux per unit area from an isotropic radiator at a specified
location with the same power input as the subject antenna.
Note:
The isotropic radiator must
be within the smallest sphere containing the antenna. Suggested
locations are antenna terminals and points of symmetry, if such
exist.
POWER
GAIN REFERRED TO A SPECIFIED POLARIZATION. The
power gain of an antenna, reduced by the ratio of that portion
of the radiation intensity corresponding to the specified polarization
to the radiation intensity.
POWER TRANSMISSION FORMULAS
G G
λ²
Pr = Pt
Pr (dB W) = Pt
(dB W) + Gt (dBi) + Gr
(dBi)
-20 log r – 20 log f + 27.56
Pr (dB W) = Pt
(dB W) – AFEt (dB m
–1)
-AFE (dB m-1) –20 log r + 20 log f –32
Pr = Power received
Pt = Power Transmitted
Gr = Gain of receiving antenna
Gt = Gain of transmitting antenna
f =
Frequency in MHz, λ
= Wavelength
r =
distance between antennas in meters
AFEr = AFE of receiving antenna
AFEt = AFE of transmitting antenna
R
RADIATOR.
Any antenna or radiation element
that is a discrete physical and functional entity.
RADIATION,
ELECTROMAGNETIC. The emission
of energy in the form of electromagnetic waves.
RADIATION
INTENSITY. In a given direction,
the power radiated from an antenna per unit solid angle.
RADIATION
LOBE. A portion of the radiation
pattern bounded by regions of relatively weak radiation intensity.
RADIATION
PATTERN (ANTENNA PATTERN). A
graphical representation of radiation properties of the antenna
as a function of space coordinates.
Note:
(1) In the usual case the radiation
pattern is determined in the far-field region and is represented
as a function of directional coordinates. (2) Radiation properties
include power flux density, field strength, phase, and polarization.
RADIATION
RESISTANCE OF AN ELECTRICALLY SMALL LOOP ANTENNA. The resistive component of an antennas
input impedance that results from the coupling of the antenna
to its environment. This resistance dissipates the power that
is actually radiated from the antenna.
Rr = 20 (2π
/ λ)
4n2A2 ohms
n = number of
turns
A =
area of the loop
REALIZED
GAIN. The power gain of an antenna
in its environment, reduced by the losses due to the mismatch
of the antenna input impedance to a specified impedance.
REALIZED
RADIATOR EFFICIENCY. The efficiency
of an antenna in its environment reduced by all losses suffered
by it, including: ohmic losses, mismatch losses, feedline transmission
losses, and radome losses.
RELATIVE
POWER GAIN. The ratio of the
power gain in a given direction to the power gain of a reference
antenna in its reference direction.
Note: Common reference antennas are half-wave dipoles,
electric dipoles, magnetic dipoles, monopoles, and calibrated
horn antennas.
RETURN
LOSS. The reflection coefficient of a mismatch expressed
in decibels. Note: Modern swept VSWR techniques actually
sense the reflected component which is normalized to the forward
component to yield return loss. A 2:1 VSWR is equivalent to 9.5
dB return loss.
V
VSWR.
The voltage standing wave ratio
of a component such as an antenna. It is referred to the characteristic
impedance of the transmission line being used.
Note:
The most common characteristic
impedance is 50 ohms, but 75 and 300 ohms are frequently used
in coaxial or twin lines for VHF, UHF applications.