  A novel layout for a reflective Arrayed Waveguide Grating is presented in
this paper. The device consists of one half of a regular AWG where each arm
waveguide in the array is terminated with a phase shifter and a Sagnac loop
reflector. The theoretical model to describe and design the spectral response
of this device is derivated. By individually adjusting the phase shifter and
Sagnac reflectivity in each arm, this layout allows for tailoring the spectral
response of the AWG. Design cases of Silicon-on-Insulator AWG devices with
Gaussian and flattened response are provided.
