Abstract
Based on the Debye asymptotic for Bessel functions, we develop an analytical theory of high-efficiency converters of higher-order waveguide modes into eigenwaves of open mirror transmission lines. Simple analytical formulas for the parameters of the basic types of mirror lines are derived. Direct relationship between the nonequidistance of mode wavenumbers, the diffraction lengths of the Brillouin wave beams, and the lengths of converters for oversized waveguides is shown. The results of numerical calculations for some converters are presented for comparison.
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REFERENCES
A. V. Gaponov-Grekhov and V. L. Granatstein, Novel Application of High Power Microwaves, Artech House Inc., Boston, London (1994).
M. Thumm, State-of-the-Art of High Power Gyro-Devices and Free Electron Masers, Forschungcentrum, Karlsruhe (2003).
K. L. Felch, B. G. Danly, H. R. Jory, <nt>et al.</nt>, Proc. IEEE, 87, No. 5, 752 (1999).
G. G. Denisov, V. E. Zapevalov, A. G. Litvak, and V. E. Myasnikov, Radiophys. Quantum Electron., 46, No. 10, 757 (2003).
D. V. Vinogradov, G. G. Denisov, and M. I. Petelin, in: Proc. 10th Workshop on Diffraction and Propagation of Waves [in Russian ], Radiophysical Research Institute, Moscow (1993), p. 96.
G. G. Denisov, A. N. Kuftin, V. I. Malygin, et al Int. J. Electronics, 72, Nos. 5–6, 1079 (1992).
G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge Univ. Press, Cambridge (1966).
L. A. Vainshtein, Open Resonators and Open Wavequides, Golem Press, Boulder, Colorado (1969).
V. M. Babich and V. S. Buldyrev, Short-Wavelength Diffraction Theory. Asymptotic Methods, Springer-Verlag, Berlin (1991).
S. N. Vlasov and I. M. Orlova, Radiophys. Quantum Electron., 17, No. 1, 115 (1974).
S. N. Vlasov, L. I. Zagryadskaya, and M. I. Petelin, Radio Eng. Electron. Phys., 20, 14 (1975).
S. N. Vlasov and K. M. Likin, in: V. A. Flyagin, <nt>ed.</nt>, Gyrotrons (collected papers) [in Russian ], Inst. Appl. Phys. USSR Acad. Sci., Gorky (1980), p. 125.
A. A. Bogdashov, A. V. Chirkov, G. G. Denisov, ;et al., Int. J. Infrared MM Waves, 16, No. 4, 735 (1995).
N. L. Alexandrov, A. A. Bogdashov, G. G. Denisov, <nt>et al.</nt>, in: Proc. Int. Workshop "Strong Microwaves in Plasmas," Nizhny Novgorod (2000), p. 954.
B. Z. Katsenelenbaum, Theory of Irregular Waveguides with Slowly Varying Parameters [in Russian ], USSR Acad, Sci., Moscow (1961).
N. F. Kovalev, I. M. Orlova, and M. I. Petelin, Radiophys. Quantum Electron., 11, No. 5, 449 (1968).
D. V. Vinogradov, G. G. Denisov, M. I. Petelin, and É. M. Sher, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 33, No. 11, 1299 (1990).
D. V. Vinogradov and G. G. Denisov, Izv. Vyssh. Uchebn. Zaved., Radiofiz, 33, No. 9, 1098 (1990).
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Bogdashov, A.A., Denisov, G.G. Asymptotic Theory of High-Efficiency Converters of Higher-Order Waveguide Modes into Eigenwaves of Open Mirror Lines. Radiophysics and Quantum Electronics 47, 283–296 (2004). https://doi.org/10.1023/B:RAQE.0000047649.17664.6e
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DOI: https://doi.org/10.1023/B:RAQE.0000047649.17664.6e