Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vortices
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 regardles...
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| Format: | Article |
| Language: | English |
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Samara National Research University
2022-10-01
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| Series: | Компьютерная оптика |
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| Online Access: | https://computeroptics.ru/eng/KO/Annot/KO46-5/460503e.html |
| _version_ | 1797650075520860160 |
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| author | V.V. Kotlyar A.A. Kovalev A.A. Savelyeva |
| author_facet | V.V. Kotlyar A.A. Kovalev A.A. Savelyeva |
| author_sort | V.V. Kotlyar |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T15:56:08Z |
| format | Article |
| id | doaj.art-a63287f864c542b0a4a1e6077afe1884 |
| institution | Directory Open Access Journal |
| issn | 0134-2452 2412-6179 |
| language | English |
| last_indexed | 2024-03-11T15:56:08Z |
| publishDate | 2022-10-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj.art-a63287f864c542b0a4a1e6077afe18842023-10-25T10:50:57ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792022-10-0146569270010.18287/2412-6179-CO-1106Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vorticesV.V. Kotlyar0A.A. Kovalev1A.A. Savelyeva2IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS; Samara National Research UniversityIPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS; Samara National Research UniversityIPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS; Samara National Research UniversityWe 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.https://computeroptics.ru/eng/KO/Annot/KO46-5/460503e.htmloptical vortexcolored beamtopological chargelaguerre-gaussian beam |
| spellingShingle | V.V. Kotlyar A.A. Kovalev A.A. Savelyeva Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vortices Компьютерная оптика optical vortex colored beam topological charge laguerre-gaussian beam |
| title | Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vortices |
| title_full | Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vortices |
| title_fullStr | Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vortices |
| title_full_unstemmed | Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vortices |
| title_short | Coherent superposition of the Laguerre-Gaussian beams with different wavelengths: colored optical vortices |
| title_sort | coherent superposition of the laguerre gaussian beams with different wavelengths colored optical vortices |
| topic | optical vortex colored beam topological charge laguerre-gaussian beam |
| url | https://computeroptics.ru/eng/KO/Annot/KO46-5/460503e.html |
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