The intensity at which electrons emitted by a first plate structure (10) in a flat-panel display strike a second plate structure (12) for causing it to emit light is controlled so as to reduce image degradation that could otherwise arise from undesired electron-trajectory changes caused by effects such as the presence of a spacer system (14) between the plate structures. An electron-emissive region (20) in the first plate structure typically contains multiple laterally separated electron-emissive portions (201 and 202) for selectively emitting electrons. An electron-focusing system in the first plate structure has corresponding focus openings (42P1 and 42P2) through which electrons emitted by the electron-emissive portions respectively pass. Upon being struck by the so-emitted electrons, a light-emissive region (22) in the second plate structure emits light to produce at least part of a dot of the display's image.