A method for producing a waveguide including a germanium-based core and a cladding is provided, the method including a step of “low temperature” depositing of a shell after forming the core by engraving, such that the deposition temperature is less than 780° C., followed by a step of “high temperature” depositing of a thick encapsulation layer. The shell and the encapsulation layer at least partially form the cladding of the waveguide. Optionally, a step of annealing under hydrogen at a “low temperature”, less than 750° C., precedes the deposition of the shell. These “low temperature” annealing and depositing steps advantageously make it possible to avoid a post-engraving alteration of the free surfaces of the core during the forming of the cladding which is less germanium-rich.