A method for producing a glass furnace, including a refractory portion, a waveguide with a measurement portion extending into the refractory portion and an interrogator connected to an input of the waveguide to inject an interrogation signal. The measurement portion incorporating a sensor to send a response signal to the interrogator in response to the injection. The interrogator analyzing the response signal and sending a message. Arranging, inside a mold, a temporary part configured to leave space for a compartment for the measurement portion. Preparing a starting feedstock and introducing the starting feedstock into the mold such that the part is embedded therein to obtain a preform. Hardening the preform to form the refractory portion. Removing the temporary part to make the compartment. Assembling the refractory portion with other constituent elements and introducing the measurement portion into the compartment and connecting the interrogator to the input of the waveguide.