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The influence of astigmatic aberration on the Gaussian beam diffraction in the near field of axicons and ring gratings
D.A. Savelyev 1,2, P.А. Khorin 1

1 Samara National Research University,
Moskovskoye Shosse 34, Samara, 443086, Russia;
2 Image Processing Systems Institute, NRC “Kurchatov Institute”,
Molodogvardeiskaya Str. 151, Samara, 443001, Russia

 PDF, 3420 kB

DOI: 10.18287/COJ1832

Pages: 1228-1235.

Full text of article: English language.

Abstract:
The diffraction of Gaussian beams with astigmatic aberration on high-aperture diffractive axicons with different relief heights was studied in this paper. Also the axicons and ring gratings without a central zone were considered. The finite difference time domain method was used for modeling. It is shown that increasing the relief height of the diffractive axicon leads to the formation of the chains of maxima outside the element. The minimum focal spot size outside the element in the presence of astigmatic aberration (α = 141.68) in the input beam was observed for the case of an axicon without a central zone for h = 4.24λ, (FWHM = 0.43λ). The longest light needle was obtained for the same type of beam and element, but at a height of h = 1.06λ (DOF = 5.96λ).

Keywords:
astigmatic aberration, Gaussian beam, diffractive axicon, ring gratings, FDTD.

Citation:
Savelyev DA, Khorin PA. The influence of astigmatic aberration on the Gaussian beam diffraction in the near field of axicons and ring gratings. Computer Optics 2025; 49(6): 1228-1235. DOI: 10.18287/COJ1832.

Acknowledgements:
This research was funded by the Russian Science Foundation under grant No. 24-79-10101, https://rscf.ru/en/project/24-79-10101/ (numerical simulation) and within the government project of the National Research Center "Kurchatov Institute" (the part Introduction).

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