I would like to look at modelling a large phased array of planar antennas for generating a wideband circularly polarised beam in the high GHz range (perhaps above the CMB to improve SNR, semiconductors permitting). It should ideally have some electronic means of switching between right or left hand polarisation. If that is not possible, interspersing elements of both types might be an alternative and strategy but would mean only 50% of the elements could be used for any particular beam.

The idea would be to have a separate transmitter amplifier stage for each element so highly stable (and electronically adjustable for beam steering) phase control would be crucial, but that is beyond this basic antenna element design question.

For a beam direction significantly off the normal to the antenna, would elliptical polarisation be required and if so how could that be produced from a common physical element design? Might having a pair of amplifiers feeding crossed antenna elements facilitate this?

Is there a way to add a reflector behind the element to improve efficiency but more importantly to prevent radiation in the opposite direction? It strikes me that a flat plate for a fixed frequency might need to become a helical strip (like part of an Archimedian Screw) for a log periodic spiral but that couldn't easily be switched between left or right hand polarisation.

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