title: Nonparaxial diffraction analysis of Airy and SAiry beams.
abstract: We theoretically analyze Airy beams by solving the exact vectorial Helmholtz equation using boundary conditions at a diffraction aperture. As result, the diffracted beams are obtained in the whole space; thus, we demonstrate that the parabolic trajectories are larger than those previously reported, showing that the Airy beams start to form before the Fourier plane. We also demonstrate the possibility of using a new type of Airy beams (SAiry beams) with finite energy that can be generated at the focal plane of the lens due to diffraction by a circular aperture of a spherical wave modified by a cubic phase. The finite energy ensured by the principle of conservation of energy of a diffracted beam.
authors.affiliation: Universidad Miguel Hernández, Dpto. de Ciencia de Materiales Optica y Tecnologíaelectrónica, Avda. de la Universidad, 3202. Elche, Alicante, Spain. luis@dite.umh.es
authors.forename: Luis
authors.initials: L
authors.lastname: Carretero
authors.forename: Pablo
authors.initials: P
authors.lastname: Acebal
authors.forename: Salvador
authors.initials: S
authors.lastname: Blaya
authors.forename: Celia
authors.initials: C
authors.lastname: García
authors.forename: Antonio
authors.initials: A
authors.lastname: Fimia
authors.forename: Roque
authors.initials: R
authors.lastname: Madrigal
authors.forename: Angel
authors.initials: A
authors.lastname: Murciano
mesh_terms: D003198:Computer Simulation; D008027:Light; D008962:Models, Theoretical; D012031:Refractometry / Q000379:methods*; D012542:Scattering, Radiation