17 November 2014 Focal shift of dual auto-focusing Airy beams
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The intensity distributions of self-focusing dual Airy beams are studied analytically by means of their statistical moments. Closed form expressions are derived that allow the determination of the focal shift through two different criteria; the first one is based on the second moment of the intensity whereas the second takes advantage of the beams symmetry to employ encircled-power calculations for defining the focus. Our results confirm the existence of a focal shift as expected, and show an effective quadratic dependence on the truncation parameter of the Airy beams.
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Jorge A. Garza, Jorge A. Garza, Raul I. Hernandez-Aranda, Raul I. Hernandez-Aranda, "Focal shift of dual auto-focusing Airy beams", Proc. SPIE 9194, Laser Beam Shaping XV, 919418 (17 November 2014); doi: 10.1117/12.2061454; https://doi.org/10.1117/12.2061454

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