Lenses to form a longitudinal distribution matched with special functions

We study radially symmetric diffractive optical elements to generate an array of local foci or intensity zeros in the paraxial region by a certain law. The axial distribution is defined by the spatial spectrum of the optical element's radial function, enabling the elements to be called longitud...

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Bibliographic Details
Published in:Optics communications 2015-04, Vol.341, p.114-121
Main Authors: Khonina, S.N., Ustinov, A.V.
Format: Article
Language:English
Subjects:
Airy functions
Arrays
Diffraction in the paraxial region
Diffractive optical elements
Fourier transform
Fourier transforms
Fresnel–Hankel transform
Hermite–Gaussian modes
Law
Lenses
Reduction
Transforms
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Summary:We study radially symmetric diffractive optical elements to generate an array of local foci or intensity zeros in the paraxial region by a certain law. The axial distribution is defined by the spatial spectrum of the optical element's radial function, enabling the elements to be called longitudinal-spectrum lenses. The theoretical explanation of the effect is based on the reduction of the Fresnel–Hankel transform to the one-dimensional Fourier transform. The various lenses are analyzed include those generating longitudinal distribution proportional to the Airy and Hermite–Gaussian functions.
ISSN:0030-4018
1873-0310
DOI:10.1016/j.optcom.2014.12.023