Simulations of the Nonlinear Helmholtz Equation: Arrest of Beam Collapse, Nonparaxial Solitons, and Counter-Propagating Beams

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dc.creatorBaruch, Guy
dc.creatorFibich, Gadi
dc.creatorTsynkov, Semyon V.
dc.date2008-02-24
dc.date2008-07-30
dc.date.accessioned2026-07-07T12:41:08Z
dc.date.available2026-07-07T12:41:08Z
dc.descriptionWe solve the (2+1)D nonlinear Helmholtz equation (NLH) for input beams that collapse in the simpler NLS model. Thereby, we provide the first ever numerical evidence that nonparaxiality and backscattering can arrest the collapse. We also solve the (1+1)D NLH and show that solitons with radius of only half the wavelength can propagate over forty diffraction lengths with no distortions. In both cases we calculate the backscattered field, which has not been done previously. Finally, we compute the dynamics of counter-propagating solitons using the NLH model, which is more comprehensive than the previously used coupled NLS model.
dc.description6 pages, 6 figures, Letter
dc.identifierhttps://arxiv.org/abs/0802.3506
dc.identifierhttp://arxiv.org/abs/0802.3506
dc.identifierOptics Express, Vol. 16 Issue 17, pp.13323-13329 (2008)
dc.identifierdoi:10.1364/OE.16.013323
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/219666
dc.subjectOptics
dc.subjectComputational Physics
dc.titleSimulations of the Nonlinear Helmholtz Equation: Arrest of Beam Collapse, Nonparaxial Solitons, and Counter-Propagating Beams
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