Abstract
The reflectance of the distributed feedback (DFB) resonator for a long wavelength FEL has been studied by calculations based on the circuit theory for transmission lines. Furthermore, it has been compared with the experimental results at a wavelength of 4.4 mm for a DFB with a period of 2.2 mm, consisting of a large number of circular plates with concentric circular apertures, of which the ratio is 0.8. The calculations clarify that the spectral band width of the total reflectance R T of the DFB becomes narrower with an increase of the periodic number N and with a decrease of the reflectance R of the individual plates. A comparison of the calculations with the experimental results shows that, for example, R is 1.0×10 −4 and the spectral width of R T is 0.8% of the center frequency for the DFB of N = 299. In order to make the spectral width narrower, it is necessary to decrease the standard deviation of the period to less than 1% of the mean value.
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