Back-end-of-line edge couplers with a tapered grating

Structures for an edge coupler and methods of fabricating such structures. The structure comprises a substrate and a back-end-of-line edge coupler including a waveguide core and a grating positioned in a vertical direction between the substrate and the waveguide core. The first waveguide core includes a first longitudinal axis, the grating includes a second longitudinal axis and a plurality of segments positioned with a spaced-apart arrangement along the second longitudinal axis, and the second longitudinal axis is aligned substantially parallel to the first longitudinal axis.