Analysis of longitudinal wiggler-undulator radiation and gain in a parallel plate waveguide

The emission and gain of a longitudinal wiggler in a parallel plate wavegui de is discussed analytically, the features of the spectral lines have been studied under the forward and backward slippage conditions and the gain of the device studied extensively using the Madey theorem. The waveguide gain spectra exhibits an entirely different picture from that of the free space spectra. The gain amplitude is large at a higher resonant frequency as comp ared to the lower frequency at finite slip and they come closer to the free space resonant frequency as the slip get reduced. A broad-band negative ga in spectrum is obtained at zero slip condition.