The 3-D self-consistent nonlinear theory of free-electron-laser amplifier is developed in this paper. Considering the variations of the radiation fields
electron beam and wi-ggler fields in three-dimensions
and neglecting both the self field of the beam and the space charge effects
we derived a set of nonlinear differential equations for the rectangular waveguide configuration with a bifilar helical tapered wiggler. According to numerical simulations
the efficiency can be enhanced obviously when the amplitudes or periods of the wiggler begin to decrease gradually at suitable points.