Abstract
In this paper, we investigate a comparative analysis of some Generalized Laguerre–Gaussian Schell-model beams through a paraxial ABCD optical system in a turbulent atmosphere. Based on the extended Huygens–Fresnel diffraction integral, analytical expressions for the spectral density in the receiver plane of the studied beams are derived in detail. By studying the effects of the source coherence parameters and the atmospheric turbulence strength, the numerical results indicate that the profile of these Schell-model beams takes different shapes during their propagation.
Highlights
In recent years, the propagation of laser beams in a turbulent atmosphere has attracted much attention from researchers [1,2,3,4,5,6,7] due to their large applications such as in free space communications [8], active optical imaging [9], and remote sensing [10]
In 2014, Chen et al [27] have derived the analytical expression for the cross-spectral density (CSD) and the second-order moments of the Wigner distribution function of Laguerre-Gaussian Schell-model (LGSM) beam in a turbulent atmosphere in order to study the statistical properties of this laser beam
The main objective of the current paper is to study the comportment of the Standard and Elegant Generalized Laguerre-Gaussian Schell-model (GLGSM) beams propagating through a turbulent atmosphere by developing analytically the spectral density, which to our best knowledge, has not evaluated previously
Summary
The propagation of laser beams in a turbulent atmosphere has attracted much attention from researchers [1,2,3,4,5,6,7] due to their large applications such as in free space communications [8], active optical imaging [9], and remote sensing [10]. Thereby, considerable analytical models for CSD function of random sources generating flat and ring-shaped intensity profiles in the far field have been introduced such as: multi-Gaussian Schell-model (MGSM) sources, Laguerre-Gaussian Schell-model (LGSM) and Bessel-Gaussian Schell-model (BGSM) sources [23,24] These models have been the subject of different studies; for example, Cang et al [25] have examined the evolution of the average spectral density, the spectral degree of coherence and the beam width of MGSM beams traveling through atmospheric turbulence. The main objective of the current paper is to study the comportment of the Standard and Elegant Generalized Laguerre-Gaussian Schell-model (GLGSM) beams propagating through a turbulent atmosphere by developing analytically the spectral density, which to our best knowledge, has not evaluated previously.
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