Abstract
This paper fills a gap in the waveguide free electron laser theory by considering transverse distribution and energy spread of the electron beam.
Highlights
The radiation at THz frequency provides great tools to analyze molecular structures and chemical compounds by moderately exciting molecular oscillations and activating the interaction between molecules
The free electron laser (FEL) gain for a waveguide with a few cm aperture size is obtained by the direct calculation of the amplitude of the radiation fields excited by the beam with no energy or angular spreads
We have developed the three-dimensional theory of a waveguide FEL for THz radiation by expanding the method shown in Ref. [7] to include effects of a rectangular chamber
Summary
The radiation at THz frequency provides great tools to analyze molecular structures and chemical compounds by moderately exciting molecular oscillations and activating the interaction between molecules. In their theory, the FEL gain for a waveguide with a few cm aperture size is obtained by the direct calculation of the amplitude of the radiation fields excited by the beam with no energy or angular spreads. The gain is obtained by solving the dispersion relation based on the Maxwell-Vlasov equations The crux of this theory is that they combine the Maxwell-Vlasov equations into a single integral equation for the electron beam distribution, not for the radiation field. For comparison with simulation results, the dispersion relation for the undulator in two infinitely long flat plates is derived by extending the gap with of the rectangular chamber into infinity. The Vlasov equation is converted to the dispersion relation in Appendix F
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