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Spin and orbital Hall effects in the tight focus of coaxial superposition of two cylindrical vector beams of different-parity orders
V.V. Kotlyar 1,2, A.A. Kovalev 1,2, S.S. Stafeev 1,2, A.M. Telegin 2

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

 PDF, 1395 kB

DOI: 10.18287/2412-6179-CO-1549

Pages: 369-377.

Full text of article: Russian language.

Abstract:
We study tight focusing of coaxial superposition of two cylindrical vector beams (CVB) of different orders. In the initial plane, the polarization singularity index of such superposition equals the half-sum of the orders of the two constituent CVBs. Such superposition has neither spin angular momentum (SAM) nor transverse energy flow in the initial plane. We demonstrate that if two constituent CVBs are of different-parity orders, then, in the focal plane, there occur regions with nonzero longitudinal SAM components of alternating sign, alongside regions where opposite-handed transverse energy flows are rotating along closed paths (clockwise and counterclockwise). This means that the longitudinal spin and orbital Hall effects arise in the focal plane. On the contrary, if the two CVBs are of same-parity orders, polarization in the focal plane is inhomogeneous linear and the energy flow (Umov-Poynting vector) only has an on-axis component.

Keywords:
cylindrical vector beam, polarization singularity, tight focusing, spin angular momentum, spin Hall effect, orbital Hall effect.

Citation:
Kotlyar VV, Kovalev AA, Stafeev SS, Telegin AM. Spin and orbital Hall effects in the tight focus of coaxial superposition of two cylindrical vector beams of different-parity orders. Computer Optics 2025; 49(3): 369-377. DOI: 10.18287/2412-6179-CO-1549.

Acknowledgements:
This work was partly funded by the Russian Science Foundation under project No. 23-12-00236 (Theoretical part) and under the state assignment of the NRC "Kurchatov Institute" (Numerical simulation).

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