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In THz regime,superradiance with zero-slippage by introducing a waveguide can greatly enhance the energy conversion efficiency of electron beam. In this paper, a one-dimensional numerical code for waveguided superradiant THz FEL is developed. The code solves the beam–radiation interaction equations based on a frequency-domain method without employing the slowly varying envelope approximation (SVEA) or undulator-period averaging. By incorporating waveguide dispersion, the model is capable of simulating the synchronism between the radiation group velocity and the electron beam. For the free space case, the developed code was benchmarked against PUFFIN 1D, showing a deviation of less than 1.5%. Upon incorporating waveguide effects, a comparative study was conducted between a single bunch and a bunch train under the zero-slippage condition. The results demonstrate that the bunch train not only enhances the average energy conversion efficiency but also effectively suppresses the FEL spectral broadening induced by the waveguide.
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