Double-stream flow in the smooth-bore magnetron

The smooth-bore magnetron exhibits anomalous behaviour when the magnetic field is large enough to `cut-off¿ the device. Although it appears certain that instabilities are responsible for this, a knowledge of the possible types of flow taking no account of instabilities is necessary for a fuller understanding. This paper studies the double-stream flow and reports complete solutions where previously only certain special cases have been analysed. The solutions show that, for some cloud radii, a number of solutions exist, and suggest a possible instability mechanism which may contribute to the anomalous effects.