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Transformation of a high-order edge dislocation to optical vortices (spiral dislocations)
V.V. Kotlyar 1,2, A.A. Kovalev 1,2, A.G. Nalimov 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, 1033 kB

DOI: 10.18287/2412-6179-CO-855

Pages: 319-323.

Full text of article: Russian language.

Abstract:
We theoretically show that an astigmatic transformation of an nth-order edge dislocation (a zero-intensity straight line) produces n optical elliptical vortices (spiral dislocations) with unit topological charge at the double focal distance from the cylindrical lens, located on a straight line perpendicular to the edge dislocation, at points whose coordinates are the roots of an nth-order Hermite polynomial. The orbital angular momentum of the edge dislocation is proportional to the order n.

Keywords:
astigmatic transformation, edge dislocation, spiral dislocation, optical vortex.

Citation:
Kotlyar VV, Kovalev AA, Nalimov AG. Transformation of a high-order edge dislocation to optical vortices (spiral dislocations). Computer Optics 2021; 45(3): 319-323. DOI: 10.18287/2412-6179-CO-855.

Acknowledgements:
The work was partly funded by the Russian Foundation for Basic Research under grant # 18-29-20003 (Section "Complex amplitude of field with edge dislocation on double focal distance"), the Russian Science Foundation under grant # 18-19-00595 (Section "Orbital angular momentum"), and by the RF Ministry of Science and Higher Education within a state contract with the "Crystallography and Photonics" Research Center of the RAS (Section "Numerical simulation").

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