<p>This research examines the spread of Laguerre-Whittaker-Gaussian beams (LWGBs) in a turbulent atmosphere. Using the extended Huygens-Fresnel integral formula and Rytov theory, we derive a theoretical expression for the axial average intensity of LWGBs propagating in atmospheric turbulence. The profile of this axial intensity is analyzed numerically as a function of several parameters, including beam order, width of the beam size, turbulence strength, topological charge, and wavelength. The results demonstrate that the beam’s evolution is significantly influenced by the turbulence force <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(C_{n}^{2}\)</EquationSource> </InlineEquation> and the initial beam characteristics. These analyses confirm the significant impact of these factors on the distribution of intensity of LWGBs underscoring its potential for practical applications, particularly for optimizing beam performance in free-space optical communications, beam shaping, and structured light applications under turbulent conditions.</p>

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Theoretical analysis of Laguerre-Whittaker-Gaussian beams propagation in a turbulent atmosphere

  • F. Iraoui,
  • F. Khannous,
  • A. Belafhal

摘要

This research examines the spread of Laguerre-Whittaker-Gaussian beams (LWGBs) in a turbulent atmosphere. Using the extended Huygens-Fresnel integral formula and Rytov theory, we derive a theoretical expression for the axial average intensity of LWGBs propagating in atmospheric turbulence. The profile of this axial intensity is analyzed numerically as a function of several parameters, including beam order, width of the beam size, turbulence strength, topological charge, and wavelength. The results demonstrate that the beam’s evolution is significantly influenced by the turbulence force \(C_{n}^{2}\) and the initial beam characteristics. These analyses confirm the significant impact of these factors on the distribution of intensity of LWGBs underscoring its potential for practical applications, particularly for optimizing beam performance in free-space optical communications, beam shaping, and structured light applications under turbulent conditions.