Propagation Properties of a Partially Coherent Flat-Topped Vortex Hollow Beam in Turbulent Atmosphere

Abstract

Using coherence theory, the partially coherent flat-topped vortex hollow beam is introduced. The analytical equation for propagation of a partially coherent flat-topped vortex hollow beam in turbulent atmosphere is derived, using the extended Huygens-Fresnel diffraction integral formula. The influence of coherence length, beam order N, topological charge M, and structure constant of the turbulent atmosphere on the average intensity of this beam propagating in turbulent atmosphere are analyzed using numerical examples.

Effect of optical system and turbulent atmosphere on the average intensity of partially coherent flat-topped vortex hollow beam

“…And the optical system used in experiment will influence the evolution properties of laser beams propagating in turbulent atmosphere. Since the propagation of a laser beam propagation through an optical system in turbulent atmosphere is studied [2], various laser beam propagation through an optical system in turbulent atmosphere have been investigated, such as cosh-Gaussian beam [3], random electromagnetic beam [4], partially coherent cosine-Gaussian [5], stochastic electromagnetic Gaussian Schellmodel beam [6], radially polarized partially coherent beam [7], four-petal Gaussian [8], cylindrical vector Laguerre-Gaussian beam [9], elliptical Gaussian beam [10], annular vortex beam [11], four-petal Gaussian vortex beam [12] et al and with the development of laser technology, a new beam called flat-topped vortex hollow beam has been introduced and studied widely [13][14][15]. However, owing to its interesting properties and potential applications, the vortex beam has been widely studied.…”

Propagation of Rectangular Multi-Gaussian Schell-Model Array Beams through Free Space and Non-Kolmogorov Turbulence

“…In past years, the topic of beams propagating in atmospheric turbulence has been explored, and different models, such as Kolmogorov and non-Kolmogorov turbulences, were given to describe the atmosphere. The propagation properties of beams, such as average intensity, polarization, scintillation index, and degree of coherence, were widely investigated in Kolmogorov turbulent atmosphere [1][2][3][4][5][6][7][8][9][10][11] and non-Kolmogorov turbulence [12][13][14][15][16][17][18][19][20][21][22].…”