An electronic scanning antenna composed of an array of radiating elements positioned in an initial geometric configuration at a reference temperature, geometric configuration models of the array as a function of the temperature having been set up beforehand, the orientation of the beam being carried out by: a first phase of measuring the temperature of the array in order to select a model corresponding to the measured temperature; a second phase of calculating the phases to be applied to the signals of the radiating elements, the phases to be applied depending on the selected model.