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Fourier-Bessel beams of finite energy
V.V. Kotlyar 1,2, A.A. Kovalev 1,2, D.S. Kalinkina 2, E.S. Kozlova 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, 1052 kB

DOI: 10.18287/2412-6179-CO-864

Pages: 506-511.

Full text of article: Russian language.

Abstract:
In this paper, we consider a new type of Bessel beams having Fourier-invariance property and, therefore, called Fourier-Bessel beams. In contrast to the known Bessel beams, these beams have weak side lobes. Analytical expressions for the complex amplitude of the proposed field in the initial plane of the source and in the far field region have been obtained. It is shown that the proposed Fourier-Bessel beams have a finite energy, although they do not have a Gaussian envelope. Their complex amplitude is proportional to a fractional-order Bessel function (an odd integer divided by 6) in the initial plane and in the Fraunhofer zone. The Fourier-Bessel modes have a smaller internal dark spot compared to the Laguerre-Gauss modes with a zero radial index. The proposed beams can be generated with a spatial light modulator and may find uses in telecommunications, interferometry, and the capture of metal microparticles.

Keywords:
optical vortices, Fourier-invariant beams, Bessel beams.

Citation:
Kotlyar VV, Kovalev AA, Kalinkina DS, Kozlova ES. Fourier-Bessel beams of finite energy. Computer Optics 2021; 45(4): 506-511. DOI: 10.18287/2412-6179-CO-864.

Acknowledgements:
This work was supported by the RF Ministry of Science and Higher Education within a government project of FSRC "Crystallography and Photonics" RAS (Sections "Introduction" and "Conclusion"), the Russian Foundation for Basic Research under RFBR project No 18-29-20003 (theoretical research), and the Russian Science Foundation under project No18-19-00595 (numerical simulations).

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