Abstract: High-resolution X-ray photographing needs to focus intense relativistic electronic beams of several thousand amperes on the bremsstrahlung converter target, thereon forming small and stable spots. In the ideal focusing case, electron beams can be focused to a point. However, due to the influence of such factors as the space charge effect, the beam emittance, the spherical aberration of a lens, and the chromatic aberration, the minimal spot size of electronic beams will be limited. Furthermore, the corkscrew oscillation of the beam centroid will not only increase the spot size but also lead to the distortion of the spot shape.This paper analyzes the precondition transporting stably intense beams in an alternating solenoid field and presents the method confining corkscrew oscillations by usi