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Comments on ‘‘Study of gain, bandwidth, and tunability of a millimeter‐wave free‐electron laser operating in the collective regime’’ [Phys. Fluids 2 6, 2683 (1983)]
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12.In Ref. 11 the predicted radiation frequency corresponding to the parameters of Fig. 1(a) was erroneously calculated from Eqs. (5)‐(7) to occur at 67 GHz. Similarly, the predicted frequencies of the two spectra of Fig. 1(b) were erroneously calculated to be at 78 and 96 GHz, respectively. The two spectra in Fig. 1(c) were incorrectly predicted to occur at the same frequencies as the corresponding spectra of Fig. 1(b). These wrong numbers are in very good agreement with experiment, a fact which led the authors to their optimistic assessments. However, correct use of Eqs. (5)‐(7) leads to frequencies of 63, 70, 89, 80, and 97, respectively (see Fig. 1 of this paper). We note that an error of 1% in can lead to a frequency shift of more than 5 GHz.
13.J. Fajans, D. A. Kirkpatrick, and G. Bekefl, submitted to Phys. Rev. A.
14.In Figs. 1 and 2 and in Ref. 11 all stated values of are amplitudes as seen by an average off‐axis electron and are 8% higher than the actual fields measured on axis. (This correction is not stated in Ref. 11 and is from a private communication by S. H. Gold and H. P. Freund.) We have preserved the 8% increase in our 1‐D calculations. However, in our 3‐D calculations we used the correct on‐axis value of
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