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We analytically calculate the transverse energy fluxes that would berespectively induced in high-power Airy beams by the Kerr self-focusing and theAiry profile itself if they were the only active process. In experimentalcondition representative of laser filamentation experiments of high-powerultrashort laser pulses in air and condensed media, the Kerr lens inducestransverse energy fluxes much larger than the Airy "prism" at the main peak. Asa consequence, the curved plasma channels in Airy beams are not only a plasmaspark on a curved focus, but indeed self-guided filaments, and their curvedtrajectory appears as a perturbation due to the linear Airy propagation regime.

Curved plasma channels: Kerr lens and Airy prism