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Characterization of coherent and partially coherent Bessel-Gauss beams

Different kinds of coherent Bessel-Gauss beams have been defined. We first analyze how these different sets of fields can be physically transformed into one another with simple optical means and illustrate how a superposition model of Gaussian beams allows this transformation to be clearly interpreted. This procedure leads to a complete characterization of these beams. We then recognize that partially coherent beams radiated by JO-correlated sources endowed with a Gaussian profile of the intensity are a mixture of coherent Bessel-Gauss beams and therefore can be considered their partially coherent extension. With the same procedure used with the coherent beams we characterize the partially coherent beams. In the last case the influence of the degree of coherence is clearly evidentiated.