Title :
General wave equation in the electrostatic approximation
Author_Institution :
P.N. Lebedev Phys. Inst., Acad. of Sci., Moscow, Russia
Abstract :
Equilibria of high-current electron beams in an axial magnetic field are considered at the base of the approach for the two cases of shielded and immersed cathodes. A general wave equation in the electrostatic approximation, which is valid in any self-consistent equilibrium, was derived under the only assumption of constancy of full particle energy. This equation supplements general steady state equation and allows to consider different equilibria and their wave properties in closed manner
Keywords :
electron beams; particle beam dynamics; wave equations; axial magnetic field; electrostatic approximation; general wave equation; high-current electron beams; immersed cathodes; self consistent equilibrium; steady state equation; Cathodes; Differential equations; Electron beams; Electrostatics; Magnetic fields; Magnetic flux; Magnetic shielding; Microscopy; Steady-state; Waves;
Conference_Titel :
Particle Accelerator Conference, 1995., Proceedings of the 1995
Conference_Location :
Dallas, TX
Print_ISBN :
0-7803-2934-1
DOI :
10.1109/PAC.1995.505852
