The free electron laser with a linearly polarized wiggler and axial guide field hag been studied. A relativistio, cold electron beam passes through a parallel-plate waveguide in these magnetic fields. The spontaneous emission coefficient and the dispersion equation of the stimulated Raman emission of the transverse electric wave (TE mode) in the electron beam reference-frame are calculated. It s growth rate is given. When the cyclotron frequency of the electron is equal to the frequency of the pump wave in the electron beam referenoe-frame, the intensities of both the sponliarieous and stimulated emissions increase sharply due to the resonance.