  Designing beam splitting structures with wide branching angles is of great
significance. The branching angle of conventional Y-junctions is limited. In
this paper, we investigate the possibility of utilizing gradient index (GRIN)
lenses with two focal points such as the generalized Maxwell's fisheye (GMFE)
and Eaton lenses in controlling the branching angle of power splitters. The
GMFE lens can provide a wide range of branching angles, however, we present
only splitting angles of 25$^\circ$, 45$^\circ$, and 65$^\circ$. Furthermore,
we propose a 90$^\circ$ splitter structure by employing the Eaton lens. We
evaluate the performance of the proposed power splitters by ray-tracing and
full-wave finite element method. While GRIN lenses provide a broad range of
splitting angles, they require isotropic metamaterials to implement high
refractive indices at the center of these lenses.
