%0 Journal Article %T Splitting of any initial field distribution in GRIN media %A H. M. Moya-Cessa %A F. Soto-Eguibar %A V. Arrizon %A A. Z¨²£żiga-Segundo %J Physics %D 2015 %I arXiv %X We show the splitting effect of an electromagnetic field assuming non paraxial propagation in a quadratic GRIN medium. The field distribution at the splitting distance is given by fractional Fourier transforms of the initial field and of a reflected version of it. We apply this result to an initial field given by a Bessel function and show that it splits into two generalized Bessel functions. %U http://arxiv.org/abs/1507.04621v2