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In telecommunications, the antenna factor is defined as the ratio of the incident electromagnetic field strength to the voltage V (units: V or µV) on the line connection of an antenna.

For an electric field antenna, the field strength is in units of V/m or µV/m and the resulting antenna factor AF is in units of 1/m:

$AF=\frac{E}{V}$

If all quantities are expressed logarithmically in decibels instead of SI units, the above equation becomes

$A{F}_{{\mathrm{d}\mathrm{B}\mathrm{m}}^{-1}}=E_{\mathrm{d}\mathrm{B}\mathrm{V}/\mathrm{m}}-V_{\mathrm{d}\mathrm{B}\mathrm{V}}=E_{\mathrm{d}\mathrm{B}\mathrm{\mu }\mathrm{V}/\mathrm{m}}-V_{\mathrm{d}\mathrm{B}\mu \mathrm{V}}$

For a magnetic field antenna, the field strength is in units of A/m and the resulting antenna factor is in units of A/(Vm). For the relationship between the electric and magnetic fields, see the impedance of free space.

In a 50 Ω system, the antenna factor is related to the antenna gain G and the wavelength λ via:

$AF=\frac{9.73}{\lambda \sqrt{G}}$

The variable G means antenna gain (dimensionless) and it can be written in terms of effective aperture A to obtain the final expression considering the impedance of free space (376.7Ω) and the load as 50Ω. The antenna effective aperture can be written as A = (λ²G)/4π.

References

• Interpreting Antenna Performance Parameters for EMC Applications
• Interpreting Antenna Performance Parameters for EMC ApplicationsTemplate:Dead link An excellent page with summaries of all the relevant equations
• Antenna Theory