Airy-like two-dimensional distributions

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Abstract

Fourier transformation from the phase functions depending on a cubic degree of arguments for formation of two-dimensional Airy-like distributions is considered. At use of phase function with cubic dependence on radius the focusing of illumination beam into a set of local focuses is observed. Between that local focuses the weak light spot of the subwavelength size can be formed.

Vortical Airy beam which radial component is expressed through truncated on n-th root or extremum of Airy function are considered. Such beams propagating in free space keep the expressed ring structure, however the radii of rings are varied with a distance. Astigmatic transformation of 2D mirror Airy beams with indexes (n, m) allows to receive the pseudo-ring structures possessing the orbital angular moment.

About the authors

S. N. Khonina

Image Processing Systems Institute of the RAS, Samara

Author for correspondence.
Email: khonina@smr.ru

Doctor of Physical and Mathematical Sciences, Professor

Leading Researcher

Russian Federation

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