The second-moment width of a Bessel-Gaussian-based perfect vortex beam is derived analytically as w2(l)=T^2(l+1)+R^2(1+I_{l+1}/I_l), experimentally confirmed, and shown to scale as sqrt(l) in the best case.
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How Perfect are Perfect Vortex Beams?
The second-moment width of a Bessel-Gaussian-based perfect vortex beam is derived analytically as w2(l)=T^2(l+1)+R^2(1+I_{l+1}/I_l), experimentally confirmed, and shown to scale as sqrt(l) in the best case.