A flat-top arrayed waveguide grating with a Hyper-Gaussian distribution
function and a modified sinc design exhibits a very low chromatic
dispersion, low loss and requires a relatively small number of waveguides.
Controlled loss is introduced into certain waveguides of the array by
creating gaps (unguided regions) between the waveguides to produce a
desired predetermined amplitude distribution. The gaps are preferably
arranged in the middle of the array.