Antenna Gain & EIRP
9006003
9006003a
The gain of a 100% efficient antenna over an isotropic radiating or receiving antenna
is given by:
4.pi.A
G = 
Wl^{2}
where:
A = A_{t} for area of transmitting antenna or telescope (78.5 m^{2}),
A = A_{r} for area receiving antenna or telescope (78.5 m^{2}),
Wl = wavelength (656 nm).
The gain is normally expressed in dBs by taking 10.log(G).
For the above 10 meter diameter telescope:
G = 2.29 x 10^{15} = 153.6 dB
9006003b
The Effective Isotropic Radiated Power (EIRP) is the apparent power transmitted
towards the receiver, if it is assumed that the signal is radiated equally in all
directions, i.e. as a spherical wave emanating from a point source. This power is given
by:
EIRP = G_{t}.P_{t} Watts
where:
G_{t} = gain of transmitter antenna or telescope (153.6 dB),
P_{t} = power transmitted (1 kW).
For the above 1 kW visible transmitter:
EIRP = 2.29 x 10^{18} W
This is a little over one million trillion watts! Now the Sun has a radius of 6.96 x
10^{8} m and a luminosity of 3.9 x 10^{26} W. Thus the output from every
square meter of the Sun's surface is equal to 64 megawatts. Clearly, the spectral radiance
of this 1 kW visible transmitter is enormous.
The Columbus Optical SETI Observatory
Copyright (c), 1990
