A system and method for addressing individual electron emitters in an emitter array is disclosed. The system includes an emitter array comprising a plurality of emitter elements arranged in a non-rectangular layout and configured to generate at least one electron beam and a plurality of extraction grids positioned adjacent to the emitter array, each extraction grid being associated with at least one emitter element to extract the at least one electron beam therefrom. The field emitter array system also includes a plurality of voltage control channels connected to the plurality of emitter elements and the plurality of extraction grids such that each of the emitter elements and each of the extraction grids is individually addressable. In the field emitter array system, the number of voltage control channels is equal to the sum of a pair of integers closest in value whose product equals the number of emitter elements.