The A6 (six cavity) magnetron operated at relativistic voltages is investig
ated using three-dimensional particle-in-cell simulation. Previous experime
nts [A. Palevsky and G. Bekefi, Phys. Fluids 22, 986 (1979)] are repeated n
umerically for the purpose of ascertaining fidelity of code results in addi
tion to obtaining insight into magnetron operation at high voltage. Simulat
ions produce all qualitative behavior observed in experiments, with good qu
antitative agreement in most cases. This numerical study also reveals detai
ls concerning mode control, the cause and prevention of leakage current, an
d voltage scaling in the A6. It is shown that: (1) leakage current substant
ially reduces efficiency, (2) elimination of leakage current using cathode
endcaps substantially increases efficiency, and (3) the functional dependen
ce of operating voltage on applied magnetic field may depart from conventio
nal scaling at very high voltage. (C) 1999 American Institute of Physics. [
S1070-664X(99)01902-3].