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Designing beam splitting structures with wide branching angles is of greatsignificance. The branching angle of conventional Y-junctions is limited. Inthis 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. TheGMFE lens can provide a wide range of branching angles, however, we presentonly splitting angles of 25$^\circ$, 45$^\circ$, and 65$^\circ$. Furthermore,we propose a 90$^\circ$ splitter structure by employing the Eaton lens. Weevaluate the performance of the proposed power splitters by ray-tracing andfull-wave finite element method. While GRIN lenses provide a broad range ofsplitting angles, they require isotropic metamaterials to implement highrefractive indices at the center of these lenses.

Controlling branching angle of waveguide splitters based on GRIN lenses