An optical device may include at least two waveguides with different propagation constants. Each waveguide is associated with a grating antenna with a grating period selected to emit light at the same emission angle despite the different propagation constants. Each waveguide may be part of an optical path that includes phase shifters. Additionally, the waveguides may be formed in a waveguide layer that is separate from a perturbation layer in which the grating antennas as formed.