Generation Of Partially Coherent Array Beams And The Invesigation On Them Interaction With Random Medium

In recent years,there has been an increasing interest in the partially coherent beams due to its abundant physical properties and have a series of unique advantages for many application potentials.The most classic partially coherence source is Gaussian Schell-model source which the spatial correlation function satisfy the Gaussian distribution.Recently,lots of partially coherent beams with nonconventional correlation functions have been introduced,the distribution of spectral density for these beams have special shape,such as the ring-shape profile,the flat-topped profile,and the array profile.These beams have displayed many extraordinary properties and are useful in many applications,such as free-space optical communications,and particle trapping.Meantime,the interaction between random light fields and random medium certainly affect the evolving beams' characteristics.Therefore investigations on the interaction between random light fields and random medium play an important role in many applications such as remote sensing,tracking,and long-distance optical communications.In the paper,we introduce two novel models for partially coherent beams and investigation the propagation properties of them in non-Kolmogorov turbulence and oceanic turbulence.The main works of this paper are as follow:1.We introduce novel spatial correlation functions model.We introduce two novel class Schell-model sources for producing far fields with rectangular array profile and radial array profile,respectively.Beam conditions for such sources are also derived.We numerically simulate the spectral density function in the far field.It is shown that the spectral density distribution in the far field is related to the initial parameters of the source.2.Investigations the propagation properties of two Gaussian Schell-model array beams in non-Kolmogorov turbulence.Based on the extended Huygens-Fresnel principle,the analytical expressions for the cross-spectral density function of the rectangular Gaussian Schell-model array beam and the radial Gaussian Schell-model array beam propagating in non-Kolmogorov turbulence are derived,then we obtain the analytical expressions of the spectral density and the spectral degree of coherence.According to the definition of the effective beam width,we derived its analytical formula.Based on these analytical formulas and select appropriate parameters,the evolution properties of Gaussian Schell-model array beams in atmospheric turbulence are studied by using numerical calculation examples.The influences of initial parameters and atmospheric turbulence parameters on beams propagation properties are also analyzed.3.Further,investigations the propagation properties of two Gaussian Schell-model array beams in oceanic turbulence.Similarly,based on the extended Huygens-Fresnel principle,we derived the analytical expressions for the cross-spectral density function of the rectangular Gaussian Schell-model array beam and the radial Gaussian Schell-model array beam propagating in oceanic turbulence,then obtain the analytical expressions of the spectral density and the spectral degree of coherence and the effective beam width.Based on these analytical formulas and the oceanic turbulence power spectrum,select appropriate parameters,the evolution properties of Gaussian Schell-model array beams in oceanic turbulence are studied by using numerical calculation examples.The influences of initial parameters and oceanic turbulence parameters on beams propagation properties are also analyzed.