Array factor
The array factor is the complex-valued far-field radiation pattern obtained for an array of isotropic radiators located at coordinates , as determined by:[1]
where are the complex-valued excitation coefficients, and is the direction unit vector. The array factor is defined in the transmitting mode,[2] with the time convention . A corresponding expression can be derived for the receiving mode, where a negative sign appears in the exponential factors, as derived in reference.[3]
References
- Balanis, C. A. Antenna Theory, Analysis and Design (3 ed.). p. 291.
- "IEEE Standard for definitions of terms for antennas". IEEE Std. 2014.
- Frid, Henrik (2020). Analysis and Optimization of Installed Antenna Performance. Stockholm, Sweden: KTH (PhD thesis). pp. 36–39. ISBN 978-91-7873-447-4.
See also
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