The dissertation presents results concerning the coherence properties of partially coherent beams generated by random phase screens and their applications in the field of non-linear optics. A model is given for the partially coherent source, refered to as generalized Schell-model source, in which the phase correlation for the field is Gaussian. The author considers a partially coherent Bessel-Gauss beam of zero order, which is the superposition of Gaussian beams, whose axes are uniformly distributed on a cone. The directionality of such beams is discussed and it is found that a diffraction-free beam can be produced even from a globally incoherent source. Finally the author considers second-harmonic generation by a partially coherent beam and evaluates the expressions for the mean-square beam radius, mean-square coherence radius and the conversion efficiency of emerging beam.
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