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Sharp focusing of on-axis superposition of a high-order cylindrical vector beam and a beam with linear polarization
V.V. Kotlyar 1,2, S.S. Stafeev 1,2, V.D. Zaitsev 1,2

1 IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS,
443001, Samara, Russia, Molodogvardeyskaya 151;
2 Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34

 PDF, 992 kB

DOI: 10.18287/2412-6179-CO-1165

Pages: 5-15.

Full text of article: Russian language.

Abstract:
In this work, the sharp focusing of a laser beam whose initial polarization pattern is formed by superposition of a cylindrical mth-order vector beam and a homogeneous linearly polarized beam is considered theoretically and numerically. Although in the source plane of such a beam both the angular spin momentum and the third Stokes parameter are equal to zero, we reveal that given odd m, subwavelength local regions are formed in the focal plane, where transverse vortex energy flows occur and the third Stokes parameter (the on-axis component of the angular spin momentum) is non-zero. Thus, at odd m, at the focus of such a beam there are – sub-regions with elliptical polarization of light with alternating handedness in the adjacent sub-regions (clockwise and counterclockwise). This phenomenon can be interpreted as a variant of an optical Hall effect. We note that at even m, the field at the focus is linearly polarized at every point and no transverse energy flow is observed.

Keywords:
linear and circular polarization, sharp focusing, Richards-Wolf formulas, Stokes vector, spin angular momentum.

Citation:
Kotlyar VV, Stafeev SS, Zaitsev VD. Sharp focusing of on-axis superposition of a high-order cylindrical vector beam and a beam with linear polarization. Computer Optics 2023; 47(1): 5-15. DOI: 10.18287/2412-6179-CO-1165.

Acknowledgements:
This work was funded by the Russian Science Foundation under project No. 22-22-00265 (Section “Theory”) and the RF Ministry of Science and Higher Education within a government project of the FSRC “Crystallography and Photonics” RAS (Section “Numerical simulation”).

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