Beam wander of focused electromagnetic multi-Gaussian Schell-model beams propagation in anisotropic turbulence

Abstract

Analytical expression of the cross-spectral density matrix of the focused electromagnetic MGSM beams propagation through in non-Kolmogorov anisotropic turbulent atmosphere is obtained. With the help of this formulation, the influences of non-Kolmogorov anisotropic turbulence on the spectral density and the degree of coherence of such beams with turbulence inner scale and outer scale effects considered are discussed. The flat-topped intensity profile of the focused electromagnetic MGSM beams can be prolonged a long distance by suitable choices of the source parameters. Compared with the isotropic non-Kolmogorov atmospheric turbulence, anisotropic non-Kolmogorov turbulence with greater anisotropy coefficient produces less effect on the focused electromagnetic MGSM beams. The degree of coherence increased steeply in the initial increasing phase of propagation distance, it then turned round into the decline regimes after reaching a maximum value and trends to 0 after sufficiently long propagation distance. And the values of anisotropy coefficient, non-Kolmogorov power spectrum index, and turbulence inner scale have significant effects on the propagation distance. Increasing wavelength is a good alternative to improve the performance the focused electromagnetic MGSM beams in non-Kolmogorov anisotropic turbulent atmosphere.