An apparatus comprising a thick waveguide comprising a first adiabatic tapering from a first location to a second location, wherein the first adiabatic tapering is wider at the first location than at the second location, and a thin slab waveguide comprising a second adiabatic tapering from the first location to the second location, wherein the second adiabatic tapering is wider at the second location than at the first location, and a third adiabatic tapering from the second location to a third location, wherein the third adiabatic tapering is wider at the second location than at the third location, wherein at least a portion of the first adiabatic tapering is adjacent to the second adiabatic tapering, and wherein the first adiabatic tapering and the second adiabatic tapering are separated from each other by a constant gap.