This paper proposes a simple structure (antenna coupled

- junction) which reduces radiation losses of

-junctions in 3-D optical waveguides by decreasing refractive indexes near the branching regions. A principle to reduce radiation losses and a design theory are presented for the new

-junction by using geometrical optics. It is theoretically shown that losses of the properly designed 3-D

-junctions can be reduced by around an order of magnitude compared to those of conventional ones when the branching angles are large.