A method for manufacturing a semiconductor optical waveguide comprises the
steps of forming a core layer having an Al content which monotonically
increases from the central part thereof to the film surface, and
selectively oxidizing the core layer to obtain a peripheral, oxidized
region and a central, non-oxidized region acting as a waveguide. The
waveguide is tapered to have a circular mode field at the distal end
thereof for efficiently coupling with an optical fiber.