The plasma filled dielectric Cerenkov maser considering the effect of the p
lasma grating has been studied. The plasma grating is formed by the modulat
ion of the strong fields. According to the plasma-grating model, An equival
ent model is constructed. The modified dispersion relation has been derived
. The numerical results show that when the modulation over the background p
lasma increases, the operation frequency also increases, however, the growt
h rate varies slightly. Compared with the calculation results obtained by t
reating the plasma as uniform fluids, the calculation results with the equi
valent model describe the bounded bandwidth of the dielectric oscillator mo
re precisely.