paper

An upper limit to the orbital angular momentum of a vortex-carrying ultrashort pulse

arXiv:1812.11147 · doi:10.1103/PhysRevLett.122.123904

Abstract

The magnitude of the topological charge of the vortex of a ring-shaped pulse is found to be limited by the squared mean frequency of the pulse spectrum at the ring relative to its variance. This limitation implies a upper bound to the orbital angular momentum carried by a pulse, and a lower bound to the duration for a pulse to carry any orbital angular momentum.

5 pages, 3 figures

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