A general theorem on the divergence of vortex beams
arXiv:1601.02350 · doi:10.1103/PhysRevA.94.023802
Abstract
The propagation and divergence properties of beams carrying orbital angular momentum (OAM) play a crucial role in many applications. Here we present a general study on the divergence of optical beams with OAM. We show that the mean absolute value of the OAM imposes a lower bound on the value of the beam divergence. We discuss our results for two different definitions of the divergence, the so called rms or encircled-energy. The bound on the rms divergence can be expressed as a generalized uncertainty principle, with applications in long-range communication, microscopy and 2D quantum systems.
RevTex, published version
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- Advances in Space Quantum Communications
- The role of beam waist in Laguerre-Gauss expansion of vortex beam
- Topological features of vector vortex beams perturbed with uniformly polarized light
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- Majorana states for subluminal structured photons
- Spatial distribution of two symmetric four-wave mixing signals induced by Gaussian beams