Nonparaxial diffraction analysis of Airy and SAiry beams.
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.
Carretero
Luis
L
Universidad Miguel Hernández, Dpto. de Ciencia de Materiales Optica y Tecnologíaelectrónica, Avda. de la Universidad, 3202. Elche, Alicante, Spain. luis@dite.umh.es
Acebal
Pablo
P
Blaya
Salvador
S
García
Celia
C
Fimia
Antonio
A
Madrigal
Roque
R
Murciano
Angel
A
D003198:Computer Simulation; D008027:Light; D008962:Models, Theoretical; D012031:Refractometry / Q000379:methods*; D012542:Scattering, Radiation