volume | PIER Journals

2011-04-14

On Small-Signal Amplification in a Gyro-TWT

Natarajan Kalyanasundaram,

Prof. Natarajan Kalyanasundaram

Jaypee Institute of Information Technology University

India

Homepage

Jasmine Saini

Dr. Jasmine Saini

Jaypee Institute of Information Technology

India

Homepage

Progress In Electromagnetics Research C, Vol. 21, 75-86, 2011

doi:10.2528/PIERC11031802 | Google Scholar

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 r_o. of the electron guiding center as the relevant equilibrium distribution function turns out to be independent of r_o. 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.

Download Full Article (602) View Full Article volume

Citation

Copy Export

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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 Google Scholar

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

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