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Sharp focusing of beams with V-point polarization singularities
V.V. Kotlyar 1,2, A.G. Nalimov 1,2, S.S. Stafeev 1,2, A.A. Kovalev 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

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DOI: 10.18287/2412-6179-CO-884

Pages: 643-653.

Full text of article: Russian language.

Abstract:
It is theoretically and numerically shown that when tightly focusing an n-th order vector light field that has the central V-point (at which the linear polarization direction is undetermined), the polarization singularity index n, and a "flower"-shaped intensity pattern with 2(n-1) lobes it forms a transverse intensity distribution with 2(n-1) local maxima. At the same time, a vector light field with the polarization singularity index -n, which has the form of a "web" with 2(n+1) cells generates at the sharp focus a transverse intensity distribution with 2(n+1) local maxima. In the focal spot, either 2(n-1) or 2(n+1) V-point polarization singularities with alternating indices +1 or -1 are formed at the intensity zero.

Keywords:
vector light beam, topological charge, polarization singularity, optical vortex.

Citation:
Kotlyar VV, Nalimov AG, Stafeev SS, Kovalev AA. Sharp focusing of beams with V-point polarization singularities. Computer Optics 2021; 45(5): 643-653. DOI: 10.18287/2412-6179-CO-884.

Acknowledgements:
The work was partly funded by the Russian Foundation for Basic Research under grant #18-29-20003 (Section "Polarization singularity index of the vector field in the initial plane”), the Russian Science Foundation under grant #18-19-00595 (Section “The number of local intensity maxima at the focus of a vector field”), and the RF Ministry of Science and Higher Education within a state contract with the "Crystallography and Photonics" Research Center of the RAS (Section "Simulation").

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