I. Introduction
Photonic beamforming in phased array antennas (PAAs) is an interesting example of applying optical technology in wireless transmission systems. A PAA consists of an array of multiple antenna elements (AEs), corresponding transmission and/or reception units, and a beamformer, enabling direction-sensistive transmission and/or reception of electromagnetic waves [1]. In receive mode each individual AE signal consists of a time-delayed version of some desired signal, possible time-delayed versions of undesired signals (from different directions), and noise (sky noise and antenna noise). The values of these time delays are different for each AE, and depend on the geometrical distribution of the AEs and the direction(s) of the incoming wave front(s). The beamformer therefore consists of a delay-and-combine network that equalizes the delay values of the signal terms that correspond to the desired received signal, such that the desired signal terms add up in phase and are reinforced, whereas the undesired signal terms do not add up in phase and are hence suppressed. (Although some people would use the terms beamformer and beamforming network exclusively for PAAs in transmission mode, it is widely accepted to use them for receive mode as well, so we also do that in this paper.) In many applications it is desirable that the time delays are tunable, in order to be able to alter the reception angle of the PAA. When the amplitudes of the AE signals are also controlled, the shape of the beam pattern can be altered as well, for example to minimize sidelobes. PAAs offer several advantages when compared to mechanically steered antennas, such as agile beam steering, relatively low maintenance costs, reduced drag when applied in for instance vehicles or aircraft, and the possibiliy of supporting multiple antenna beams [1].