First channel waveguides 1021 to 1023 of
an array waveguide grating are connected via a first to a third exponential function
shape optical waveguide 1111 to 1113 to a first
sector-shape slab waveguide 105. In a second boundary part 109 which
is disposed symmetrically with a first boundary part 108 via a channel waveguide
array 104, second channel waveguides 1031 to 1033
are connected via a first to a third taper shape optical waveguide 1121
to 1123 to a second sector-shape slab waveguide 106.
By adopting exponential function shape optical waveguides 111 at least partly,
the optical frequency characteristics can be improved compared to the case of the
second degree function shape, and also the degree of freedom can also be improved
compared to the case of the rectangular shape.