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This article is cited in 1 scientific paper (total in 1 paper)
DIFFRACTIVE OPTICS, OPTICAL TECHNOLOGIES
Optical phase singularities going to and coming from infinity with a higher-than-light speed
V. V. Kotlyarab, A. A. Kovalevab, A. G. Nalimovab a Image Processing Systems Institute of the RAS - Branch of the FSRC "Crystallography and Photonics" RAS, Samara, Russia, Samara
b Samara National Research University
Abstract:
In this paper, we summarize a remarkable result obtained by Soskin et al. in Phys Rev A 56, 4064 (1997).We show that for an on-axis superposition of two different-waist Laguerre-Gauss beams with numbers (0, n) and (0, m), the topological charge equals TC=m up to a plane where the waist radii become the same, given that the beam (0, m) has a greater waist radius, changing to TC=n after this plane. This occurs because in the initial plane the superposition has an on-axis optical vortex with TC=m and on different axis-centered circles there are (n–m) vortices with TC=+1 and (n–m) vortices with TC=–1. On approaching the above-specified plane, the vortices with TC=-1 "depart" to infinity with a higher-than-light speed, with the TC of the total beam becoming equal to TC=n. If, on the contrary, the beam (0, m) has a smaller waist, then the total TC equals n on a path from the initial plane up to a plane where the waist radii become the same, changing to TC=m after the said plane. This occurs because after the said plane, n-m vortices with TC=–1 "arrive" from infinity with a higher-than-light speed.
Keywords:
optical vortex, hidden phase, screw dislocation, topological charge
Received: 17.02.2021 Accepted: 06.04.2021
Citation:
V. V. Kotlyar, A. A. Kovalev, A. G. Nalimov, “Optical phase singularities going to and coming from infinity with a higher-than-light speed”, Computer Optics, 45:5 (2021), 654–660
Linking options:
https://www.mathnet.ru/eng/co951 https://www.mathnet.ru/eng/co/v45/i5/p654
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