Focal shift of dual auto-focusing Airy beams

Jorge A. Garza; Raul I. Hernandez-Aranda

doi:10.1117/12.2061454

17 November 2014 Focal shift of dual auto-focusing Airy beams

Jorge A. Garza, Raul I. Hernandez-Aranda

Proceedings Volume 9194, Laser Beam Shaping XV; 919418 (2014) https://doi.org/10.1117/12.2061454
Event: SPIE Optical Engineering + Applications, 2014, San Diego, California, United States

Abstract

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.

Citation Download Citation

Jorge A. Garza and Raul I. Hernandez-Aranda "Focal shift of dual auto-focusing Airy beams", Proc. SPIE 9194, Laser Beam Shaping XV, 919418 (17 November 2014); https://doi.org/10.1117/12.2061454

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