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We embed a pair of vortices with different topological charges in a Gaussianbeam and study its evolution through an astigmatic optical system, a tiltedlens. The propagation dynamics is explained by a closed-form analyticalexpression. Furthermore, we show that a careful examination of the intensitydistribution at a predicted position past the lens can provide us with the netcharge present in the beam. To the best of our knowledge, our method is thefirst non-interferometric technique to measure the net charge of an arbitraryvortex pair. Our theoretical results are well supported by experimentalobservations.

Propagation of an arbitrary vortex pair through an astigmatic optical system and determination of its net topological charge