A numerical model is presented for analyzing plasma-filled backward-wa
ve oscillators (BWO's) operating near cutoff. The model allows for the
investigation of the effects of the ponderomotive potential of the hi
gh-frequency electromagnetic waves on the motion of plasma electrons.
As a result of their motion the electron plasma density is modified, a
nd this affects the high-frequency radiation by modifying the dispersi
on characteristics of the slow wave structure, Two approaches for mode
ling the plasma are considered, a fluid model and a particle-in-cell m
odel. Nonlinear simulations are performed to investigate the possible
excitation of plasma waves over a range of background plasma densities
. Results from nonlinear simulations show that for low plasma densitie
s, electrons clump in regions of low high-frequency electric field. At
somewhat higher densities nonlinear instabilities of the Raman type a
re excited. The model does not indicate the cause of the observed effi
ciency enhancement in plasma filled backward wave oscillators.