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Here's a weak, quantum argument:
A linear wave has twice the amplitude of its two component helical waves.
A helical wave has the same amplitude as its component linear waves.
In the limit, smaller helical waves are permitted than linear waves. QED
(I regret to use this kind of argument, because most readers here seem to
hold the photon model very dear; not always the best conceptual basis for
statistical ensembles, like photopolarization, for instance.