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Astigmatic transformation of a set of edge dislocations embedded in a Gaussian beam
V.V. Kotlyar 1,2, A.A. Kovalev 1,2, A.G. Nalimov 1,2

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

 PDF, 1483 kB

DOI: 10.18287/2412-6179-CO-849

Pages: 190-199.

Full text of article: Russian language.

It is theoretically shown how a Gaussian beam with a finite number of parallel lines of intensity nulls (edge dislocations) is transformed using a cylindrical lens into a vortex beam that carries orbital angular momentum (OAM) and has a topological charge (TC). In the initial plane, this beam already carries OAM, but does not have TC, which appears as the beam propagates further in free space. Using an example of two parallel lines of intensity nulls symmetrically located relative to the origin, we show the dynamics of the formation of two intensity nulls at the double focal length: as the distance between the vertical lines of intensity nulls is being increased, two optical vortices are first formed on the horizontal axis, before converging to the origin and then diverging on the vertical axis. At any distance between the zero-intensity lines, the optical vortex has the topological charge TC=–2, which conserves at any on-axis distance, except the initial plane. When the distance between the zero-intensity lines changes, the OAM that the beam carries also changes. It can be negative, positive, and at a certain distance between the lines of intensity nulls OAM can be equal to zero. It is also shown that for an unlimited number of zero-intensity lines, a beam with finite OAM and an infinite TC is formed.

orbital angular momentum, topological charge, zero intensities, optical vortex.

Kotlyar VV, Kovalev AA, Nalimov AG. Astigmatic transformation of a set of edge dislocations embedded in a Gaussian beam. Computer Optics 2021; 45(2): 190-199. DOI: 10.18287/2412-6179-CO-849.

The work was partly funded by the Russian Foundation for Basic Research under grant #18-29-20003 (Sections "Complex amplitude at the double focal distance" and "Orbital angular momentum"), the Russian Science Foundation grant #18-19-00595 (Section "Astigmatic cosine-Gauss beam"), and the RF Ministry of Science and Higher Education within a state contract with the FSRC "Crystallography and Photonics" RAS (Section "Simulation").


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