Abstract
The paper presents an approach to estimate the range of location of the first natural frequencies of corrugated structures. It needs the knowledge of the solution of simple equations instead of the more complicated characteristic equation for the corrugated structure. Inverted and noninverted magnetron cavities are considered as examples. It is shown that not only the location of the frequencies but also the general properties of the eigenmode fields can be predicted based on an analysis of geometrical properties of the simplified characteristic equation of the structure which is carried out in terms of zeros and poles of the rigorous characteristic equation.
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REFERENCES
U. Balaji and R. Vahldieck, “Radial mode matching analysis of ridged circular waveguides,” IEEE Trans. Microwave Theory Tech., vol. 44, 1996, pp. 1183-1186.
K. Schünemann, A. Serebryannikov, and D. Vavriv, “Analysis of the complex natural frequency spectrum of the azimuthally periodic coaxial cavity”, Microwave Opt. Tech. Lett., vol. 17, 1998, pp. 308-313.
S. Amari, S. Catreux, R. Vahldieck, and J. Bornemann, “Analysis of ridged waveguides by the coupled-integral-equation technique,” IEEE Trans. Microwave Theory Tech., vol. 46, 1998, pp. 479-493.
A.S. Omar, A. Jöstingmeier, C. Rieckmann, and S. Lütgert, “Application of the GSD technique to the analysis of slot-coupled waveguides,” IEEE Trans. Microwave Theory Tech., vol. 42, 1994, pp. 2139-2148.
V. Labay and J. Bornemann, “Matrix singular value decomposition for pole-free solutions of homogeneous matrix equations as applied to numerical modeling methods,” IEEE Microwave Guid. Wave Lett., vol. 2, 1992, pp. 49-51.
L.C. da Silva, “Determination of the roots of the characteristic equation for corrugated and dielectric loaded waveguides,” IEEE Trans. Microwave Theory Tech., vol. 45, 1997, pp. 298-301.
G.B. Collins (Ed.), Microwave Magnetrons, New York: McGraw-Hill, 1948.
H. Li and X. Li, “Analysis and calculation of an electron cyclotron maser having inner and outer slotted structure,” Int. J. Electronics, vol. 70, 1991, pp. 213-219.
C.T. Iatrou, S. Kern, and A.B. Pavelyev, “Coaxial cavities with corrugated inner conductor for gyrotrons,” IEEE Trans. Microwave Theory Tech., vol. 44, 1996, pp. 56-64.
D.M. Vavriv and A.E. Serebryannikov, “Calculation of Q-factor of a magnetron resonator system,” Radiotekhnika i Elektronika, vol. 42, 1997, pp. 472-478, 1997. (Engl. Transl.: J. Commun. Technol. Electron.).
M. Abramovitz and I. Stegun, Handbook of Mathematical Functions, New York: Dover, 1965.
A.E. Serebryannikov, A.I. Nosich, and D.M. Vavriv, “Limiting parameters of groove modes of a magnetron-type cavity,” J. Electromag. Waves Appl., vol. 12, 1998, pp. 1203-1216.
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Schünemann, K., Serebryannikov, A. & Moiseenko, A. Pole-Location-Based Estimates of Eigenmode Characteristics of Cylindrical Corrugated Structures. International Journal of Infrared and Millimeter Waves 22, 1209–1222 (2001). https://doi.org/10.1023/A:1015019400354
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DOI: https://doi.org/10.1023/A:1015019400354