Investigation of intense sheet electron beam transport using the macroscopic cold-fluid model and the single-particle orbit theory

The focusing and the stable transport of an intense elliptic sheet electron beam in a uniform magnetic field are investigated thoroughly by using the macroscopic cold-fluid model and the single-particle orbit theory. The results indicate that the envelopes and the tilted angles of the sheet electron beam obtained by the two theories are consistent. The single-particle orbit theory is more accurate due to its treatment of the space-charge fields in a rectangular drift tube. The macroscopic cold-fluid model describes the collective transport process in order to provide detailed information about the beam dynamics, such as beam shape, density, and velocity profile. The tilt of the elliptic sheet beam in a uniform magnetic field is carefully studied and demonstrated. The results presented in this paper provide two complete theories for systemically discussing the transport of the sheet beam and are useful for understanding and guiding the practical engineering design of electron optics systems in high power vacuum electronic devices.