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Dispersion analysis of symmetric transverse magnetic modes in a split cavity oscillator

Technical Report ·
OSTI ID:720685
The split cavity oscillator is a resonant cavity device which can be used to modulate the current of a relativistic electron beam for the purpose of generating high power microwaves. It consists of a cylindrical cavity resonator which has been divided into two identical regions (cavities) by a conducting foil whose radius is less than the inner radius of the cylinder. The gap between the foil endpoint and cylinder forms an annular slot which couples the cavities electromagnetically. A relativistic electron beam injected into a split cavity oscillator will undergo current density modulation by symmetric transverse magnetic cavity modes. We derive a cold dispersion relation (no electron beam) for these fundamental cavity modes by applying Maxwell`s equations to an equivalent periodic structure. A dispersion relation is obtained by applying a series matching method to the field boundary conditions. The dispersion relation and field solutions are employed to numerically obtain the eigenfrequencies and eigenfunctions for several split cavity oscillator structures. 8 refs., 11 figs., 3 tabs.
Research Organization:
Sandia National Labs., Albuquerque, NM (United States)
DOE Contract Number:
AC04-76DP00789
OSTI ID:
720685
Report Number(s):
SAND--90-0007; ON: TI90021179
Country of Publication:
United States
Language:
English