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High-order optical Hall effect at the tight focus of laser radiation
V.V. Kotlyar 1,2, S.S. Stafeev 1,2, E.S. Kozlova 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, 913 kB

DOI: 10.18287/2412-6179-CO-1310

Pages: 710-715.

Full text of article: Russian language.

Abstract:
In this work, by the Richards-Wolf method, which describes the behavior of electromagnetic radiation at the tight focus, it is shown that high-order spin and orbital Hall effects take place in the focal plane. It is shown that when focusing a linearly polarized optical vortex with unit topological charge, four local subwavelength regions are formed in the focal plane, in which directions of the longitudinal projection of the spin angular momentum are opposite in the neighboring regions. That is, photons falling into neighboring regions in the focus have the opposite spin. This is the spin Hall effect of the 2nd order. It is also shown that when tightly focusing of superposition of cylindrical vector beams of the m-th order and zero order, 2m subwavelength regions are formed in the plane of tight focus, in which directions of the longitudinal projection of the orbital angular momentum are opposite in the neighboring regions. That is, photons falling into the neighboring regions at the focus have the opposite-sign on-axis projections of the orbital angular momentum. This is the orbital Hall effect of the m-th order.

Keywords:
Richards-Wolf formalism, spin Hall effect, orbital Hall effect, cylindrical vector beam, spin angular momentum, orbital angular momentum.

Citation:
Kotlyar VV, Stafeev SS, Kozlova ES. High-order optical Hall effect at the tight focus of laser radiation. Computer Optics 2023; 47(5): 710-715. DOI: 10.18287/2412-6179-CO-1310.

Acknowledgements:
This work was supported by the Russian Science Foundation under grant #22-22-00265.

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