Electromagnetic lenses have been applied since early 50´s as a means of obtaining an electronic steerable antenna with high directivity and broadband range of operation. For this reason, they have became very popular in Electronic warfare applications. Some of their weakness, however, would be the fact that only one feed point (supply) - and all the associated circuitry - can be used at a time, in order to generate a single bean in the radiated field. The purpose of this these is to propose a new kind of geodesic lens in which the same goals are obtained (high directivity, broadband range of frequencies, and electronic steering) but with an uniform distribution of feeding along the lens input, all the supplies used at all times, no matter what the direction chosen for the output bean. Therefore, all the feeding points are radiating the same amount of power (same amplitude), the electronic steering is obtained by properly setting the phases of the several supplies at the input of the lens. Moreover, the device proposed here has less degradation of performance when one or a few supplies go down. Two theoretic models for the analysis and design of such device - one based on the geometric optics and the other based on modal techniques - are also provided and compared.