Ok thank you all very much, I found a study from the University of Bern ("Laser microhole drilling using Q-switched radially and tangentially polarized beams") where they compare drilling speeds for radially and tangentially polarized beams. The conclusion:
-Tangential polarization exhibited a significantly higher
drilling speed compared to radial polarization.
-We assume that the observed higher drilling rates utilizing
tangential polarization are due to more energy being
deposited at the bottom of a microhole.
I wonder how I can generalise this to cutting (which is essentially a large collection of holes)?
They also state this:
Radial polarization might possibly enable more efficientlaser cutting (1,2)
With:
[1] V.G.Niziev, A.V.Nesterov, Influence of beam polarization on cutting efficiency, J. of Physics D (Appl.Phys.), Vol. 32, pp. 1455-1461,
1999
[2] T. Moser , H. Glur, V. Romano, F. Pigeon, O. Parriaux, M. A. Ahmed and T. Graf, Polarization-selective grating mirrors used in the
generation of radial polarization, Applied Physics B, Vol. 80, No. 6, pp. 707-713, 2005
So they're not yet sure of it?