Spiral spectrum of Laguerre–Gaussian beam propagation in non-Kolmogorov turbulence

Abstract

Analytical formulas for the spiral spectrum of the Laguerre–Gaussian (LG) beam in non-Kolmogorov turbulence have been derived. The influence of the propagation distance, azimuthal index, wavelength, exponent parameter α, inner scale and outer scale on spiral spectrum is investigated. Numerical results reveal that spiral spectrum of LG beam in non-Kolmogorov turbulence is more affected by turbulence with longer distance, larger azimuthal index, smaller inner scale, larger outer scale and larger structure constant. The spiral spectrum of LG beam in non-Kolmogorov turbulence spreads significantly with the increasing of exponent parameter α and spreads slightly after reaching a maximum point.