9 February 2007 Self-focusing in high-power optical fibers
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Recently the use of "vortex" beams of high azimuthal mode number has been proposed as a way of increasing the maximum peak power through-put of optical fibers beyond the few MW allowed for Gaussian beams by self-focusing. We report a numerical investigation of these and other schemes using a beam propagation approach that includes a Kerr-type nonlinearity.
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G. Ronald Hadley, Arlee V. Smith, "Self-focusing in high-power optical fibers", Proc. SPIE 6475, Integrated Optics: Devices, Materials, and Technologies XI, 64750G (9 February 2007); doi: 10.1117/12.706132; https://doi.org/10.1117/12.706132

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