Abstract
We describe a simple method for creating Laguerre–Gauss (LG) optical vortex beams fromHermite–Gauss (HG) modes with a single cylinder lens. The diverging vortex created bythe cylinder lens has the correct intensity distribution in the far-field but its residuallongitudinal astigmatism causes the vortex to revert to the original HG mode when it isbrought to a focus. We show that an appropriate small tilt of the focusing lens can preventthis effect by introducing a compensating astigmatism. The corrected vortex is a goodapproximation to an exact LG mode and should be useful for a variety of demonstrationsand experiments.
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