The light-guiding structure includes a waveguide structure that comprises a substrate and a low refractive index underclad material. The waveguide structure is oxidized to form an oxidized layer on a surface of the waveguide structure. The oxidized layer is isotropically etched after the reaction-limited oxidation regime is approaching the diffusion-limited regime and repeatedly oxidized and etched so that the waveguide structure is continuously oxidized in the reaction-limited regime, reducing the overall time of oxidation and volume of oxidized material so that the waveguide structure has its sidewall roughness reduced efficiently enabling high transmission rates of guided light.