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2011-04-14
On Small-Signal Amplification in a Gyro-TWT
By
Progress In Electromagnetics Research C, Vol. 21, 75-86, 2011
Abstract
The corrected dispersion relation governing the linear interaction of a TE mode in a circular cylindrical wave guide with an annular beam of gyrating electrons in a gyro-TWT configuration is derived. The derivation of the correct dispersion relation no longer involves any integration with respect to the radial coordinate ro. of the electron guiding center as the relevant equilibrium distribution function turns out to be independent of ro. When the cyclotron resonance condition is satisfied by the TE mode for a positive s-number, the small-signal theory is shown to predict an initial exponential growth of the mode with interaction length over a small but finite band of frequencies around the design frequency.
Citation
Natarajan Kalyanasundaram, and Jasmine Saini, "On Small-Signal Amplification in a Gyro-TWT," Progress In Electromagnetics Research C, Vol. 21, 75-86, 2011.
doi:10.2528/PIERC11031802
References

1. Edgcombe, C. J., "The dispersion equation for the gyrotron amplifier," Int. J. Electronics, Vol. 48, No. 6, 471-486, 180.
doi:10.1080/00207218008901129

2. Chu, K. R., A. T. Drobot, H. H. Szu, and P. Sprangle, "Theory and simulation of the gyrotron traveling wave amplifier operating at cyclotron harmonics," IEEE Trans. Microwave Theory Tech., Vol. 28, No. 4, 313-317, 1980.
doi:10.1109/TMTT.1980.1130070

3. Fliflet, A. W., "Linear and non-linear theory of the doppler-shifted cyclotron resonance maser based on TE and TM waveguide modes," Int. J. Electronics, Vol. 61, No. 6, 1049-1080, 1986.
doi:10.1080/00207218608920939

4. Chu, K. R. and A. T. Lin, "Gain and bandwidth of the gyro-TWT and CARM amplifiers," IEEE Trans. Plasma Sci., Vol. 16, No. 2, 90-104, 1988.
doi:10.1109/27.3798

5. Kou, C. S., Q. S. Wang, D. B. McDermott, A. T. Lin, K. R. Chu, and N. C. Luhmann, "High-power harmonic gyro-TWTs-Part-1: Linear theory and oscillation study," IEEE Trans. Plasma Sci., Vol. 20, No. 3, 155-162, 1992.
doi:10.1109/27.142815

6. Davidson, R. C., Physics of Nonneutral Plasmas, World Scientific, 2001.

7. Lang, L., Real and Functional Analysis, 3rd Ed., Springer, 1993.