Simple derivation of the expression for the synchronous field in circular cylindrical cavity gyrotrons

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Simple derivation of the expression for the synchronous field in circular cylindrical cavity gyrotrons

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© The Institution of Electrical Engineers
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It is shown that the expression for the synchronous field at any point in a circular cylindrical cavity can be easily obtained using Graf's formula. The result is applied to the calculation of cavity-beam coupling impedances. Results for the ratio of coupling impedances in tubes using magnetron injection guns and tubes in which the guiding centre of the electron beam is on the cavity axis are given. For operation at half the cyclotron magnetic field, the coupling impedance is much higher for tubes of the second type.

Inspec keywords: microwave tubes

Other keywords: circular cylindrical cavity gyrotrons; cavity axis; microwave tubes; cyclotron magnetic field; electron beam; tubes; cavity beam coupling impedances; circular cylindrical cavity; magnetron injection guns; synchronous field

Subjects: Microwave tubes

References

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      • V.A. Flyagin , A.V. Gaponov , M.I. Petelin , V.K. Yulpatov . The gyrotron. IEEE Trans. , 514 - 521
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      • S.V. Kolosov , A.A. Kurayev , G.YA. Slepyan , F.G. Shevchenko . Optimisation of the profile of a slightly irregular waveguide in axially symmetrical gyroresonant devices. Radio Eng. & Electron Phys. , 79 - 85
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      • A.H.W. Beck , W.P.C. Mills . Millimetre-wave generator that uses a spiralling electron beam. Proc. IEE , 197 - 205
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      • M.I. Petelin , V.K. Yulpatov . Linear theory of the monotron CRM I. Radiophys. & Quantum Electron. , 212 - 219
    5. 5)
      • G.N. Watson . (1966) , A treatise on the theory of Bessel functions.
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