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Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vortices
V.V. Kotlyar 1,2, A.A. Kovalev 1,2, A.A. Savelyeva 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, 4109 kB

DOI: 10.18287/2412-6179-CO-1106

Pages: 692-700.

Full text of article: Russian language.

Abstract:
We calculate the topological charge (TC) of a coherent axial superposition of different-"color" Laguerre-Gaussian (LG) beams, each having a different wavelength and TC. It is found that the TC of such a superposition is equal to the TC of the longer-wavelength constituent LG beam regardless of the weight coefficient of this beam in the superposition and its corresponding TC. It is interesting that the instantaneous TC of such a superposition is conserved and the (time-averaged) intensity distribution of the "colored" optical vortex changes its light "gamut": whereas in the near field with increasing radius, colors of the light rings (rainbow) change according to their TC in the superposition from the smaller TC to the larger one, upon free-space propagation (to the far field), with increasing radius, the ring colors in the rainbow get arranged in the reverse order from the larger TC to the smaller one. It is also shown that choosing the wavelengths (blue, green, and red)in a special way in a three-color superposition of single-ringed LG beams allows obtaining a time-averaged white light ring at a certain distance.

Keywords:
optical vortex, colored beam, topological charge, Laguerre-Gaussian beam.

Citation:
Kotlyar VV, Kovalev AA, Savelyeva AA. Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vortices. Computer Optics 2022; 46(5): 692-700. DOI: 10.18287/2412-6179-CO-1106.

Acknowledgements:
The work was partly funded by the Russian Science Foundation under grant # 18-19-00595 (sections "Topological charge of a superposition of two colored optical vortices" and "Topological charge of a white optical vortex") and the Ministry of Science and Higher Education of the Russian Federation within the State assignment for the FSRC "Crystallography and Photonics" RAS (section "Modeling").

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