Abstract
In this work, our main aim is to examine theoretically the so-called “Lommel integral”. By introducing a new hypergeometric function of three variables, some new mathematical derivations are performed and a closed form of this integral is established for the first time. As an application of our main result we also examine an analysis of the fiber coupling efficiency for a partially coherent electromagnetic Gaussian Schell-model beam propagating through a turbulent marine medium by using two new power spectrum densities.
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