An optical device includes an optical input waveguide, a branch/cross
waveguide, an optical output waveguide and connection waveguides that
connect the optical input and optical output waveguides to the
cross/branch waveguide. The spot size of light propagating through the
cross/branch waveguide is larger than the spot size of light propagating
through optical input waveguides, the optical output waveguides, or the
connection waveguides.