The invention relates to an optical waveguide capable of extracting light especially from arbitrary positions of the same. An object of the invention is to provide an optical waveguide capable of extracting light efficiently from arbitrary positions of the same. To achieve the above object and according to one aspect of the invention, an optical waveguide is provided with a core for guiding light, a clad and a displacing structure for the core to contact the clad. The core has a first refractive index. The clad has a second refractive index higher than the first refractive index.