GENERATION OF ARBITRARY OPTICAL FILTERING FUNCTION USING COMPLEX BRAGG GRATINGS

A waveguide Bragg grating includes a silicon substrate defining a length, a width and a depth and a silicon dioxide (SiO2) cladding over the silicon substrate and encasing a silicon nitride (Si3Ni4) core extending along the length of the silicon substrate and defining a variable width and thickness; wherein the silicon nitride (Si3Ni4) core is configured as and functions as a complex Bragg grating waveguide. The waveguide Bragg grating is designed by determining a grating profile of the silicon nitride (Si3Ni4) core from a Layer Peeling algorithm and a Layer Adding algorithm; and mapping the grating profile to a 1-layer waveguide structure with varying width dimensions. The method further relates the grating profile to an effective index variation and maps the range of the effective index variation to the structure. The width corresponds to a single specific effective index. A method of manufacturing is also disclosed.