Determination of the Bessel light beam cone parameter by Fourier analysis of the diametral distribution of the intensity

  • Anatol A. Ryzhevich Institute of Physics, National Academy of Sciences of Belarus, 68-2 Niezaliežnasci Avenue, Minsk 220072, Belarus; Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus https://orcid.org/0000-0002-5463-0054
  • Igor V. Balykin Institute of Physics, National Academy of Sciences of Belarus, 68-2 Niezaliežnasci Avenue, Minsk 220072 https://orcid.org/0000-0002-6763-1136
DOI: https://doi.org/10.33581/2520-2243-2022-1-20-34

Abstract

Power spectral density (PSD) of the intensity distribution of an ideal Bessel light beam (BLB) expressions are obtained. It is shown that the PSD of the intensity distribution of an ideal BLB is limited and the upper boundary of the PSD is equal to the doubled cone parameter (the product of the wave number and the sine of the half angle of the cone of wave vectors), and the number of zeros in the PSD of an ideal BLB located in the interval from zero frequency to the upper boundary of the spectrum, is equal to the order of the beam. A technique is proposed for estimating the cone parameter of BLBs by analysing the PSD estimates of diametral distributions – one-dimensional intensity distributions obtained in the transverse plane of the beam along a line passing through the beam axis from transverse two-dimensional BLB intensity distributions recorded in the form of digital computer images. The influence of clipping (the end of the distribution at the boundary of the sensitive sensor), Gaussian and cosine modulations of the diametral distribution on the shape of the spectrum and, in case of clipping, the error in the cone parameter estimation using the proposed method is investigated. The technique is tested on the example of the analysis of experimental BLBs of different orders (BLBm, m = 0, 1, 2). The proposed technique can be used to assess the quality parameters of the BLB. The results of the analysis of the influence of cosine modulation on the shape of the PSD can be used to assess the magnitude of the rounding of the apex of the axicon forming the BLB for control the quality of the axicon manufacturing.

Author Biographies

Anatol A. Ryzhevich, Institute of Physics, National Academy of Sciences of Belarus, 68-2 Niezaliežnasci Avenue, Minsk 220072, Belarus; Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

PhD (physics and mathematics); leading researcher at the center «Diagnostic systems», Institute of Physics, National Academy of Sciences of Belarus, and associate professor at the department of quantum radiophysics and optoelectronics, faculty of radiophysics and computer technologies, Belarusian State University

Igor V. Balykin, Institute of Physics, National Academy of Sciences of Belarus, 68-2 Niezaliežnasci Avenue, Minsk 220072

junior researcher at the center «Diagnostic systems»

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Published
2022-01-27
Keywords: Bessel light beam, cone angle, cone parameter, power spectral density
Supporting Agencies The work was performed within the framework of task 1.1.01 «Development of the physical foundations of the propagation and transformation of quasi-diffraction-free vortex light beams of a new type in anisotropic, inhomogeneous and scattering media and the creation on this basis of innovative diagnostic optoelectronic devices» (state reg. No. 20160091) of state program of scientific research «Photonics, opto- and microelectronics» for 2016 –2020 and task 1.1 «Development of methods and devices for diagnostics of materials, processes and products in the optical and terahertz ranges and their application for optical communication, microscopy and determination of the characteristics of various objects» (state reg. No. 20210300 dated 23.03.2021) of state program of scientific research «Photonics and electronics for innovations» for 2021–2025.
How to Cite
Ryzhevich, A. A., & Balykin, I. V. (2022). Determination of the Bessel light beam cone parameter by Fourier analysis of the diametral distribution of the intensity. Journal of the Belarusian State University. Physics, 1, 20-34. https://doi.org/10.33581/2520-2243-2022-1-20-34
Issue
No 1 (2022): Journal of the Belarusian State University. Physics
Section
Optics and Spectroscopy

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