We propose a method for calculation of a periodic slow-wave system designed as a double comb immersed into a rectangular waveguide. The approach is based on solving a system of integral equations obtained by the method of field matching in different regions. The system of integral equations is reduced to an algebraic system of linear homogeneous equations using Galerkin’s method with allowance for the singular behavior of the field on the edges of the comb pins. The results of calculating characteristics of the slow-wave system of the millimeter-wave traveling-wave tube with a sheet electron beam are presented.
Similar content being viewed by others
References
A. G. Rozhnev, N. M. Ryskin, D. V. Sokolov, et al., Phys. Plasmas, 9, No. 9, 4020 (2002).
R. L. Ives, IEEE Trans. Plasma Sci., 32, No. 3, 1277 (2004).
V. Srivastava, J. Phys. Conf. Ser., 114, No. 1, 012015 (2008).
J. H. Booske, R. J. Dobbs, C. D. Joye, et al., IEEE Trans. Terahertz Sci. Technol ., 12, No. 1, 54 (2011).
B. E. Carlsten, Phys. Plasmas, 9, 5088 (2002).
B. E. Carlsten, S. J. Russell, L. M. Earley, et al., IEEE Trans. Plasma Sci., 33, No. 1, 85 (2005).
Y. M. Shin, L. R. Barnett, N. C. Luhmann, IEEE Trans. Electron Devices, 56, No. 5, 706 (2009).
Y. M. Shin, J. Zhao, L. R. Barnett, and N. C. Luhmann, Phys. Plasmas, 17, No. 12, 123105 (2010).
Y.-M. Shin, A. Baig, L. R. Barnett, et al., IEEE Trans. Electron Devices, 58, No. 9, 3213 (2011).
Y.-M. Shin, A. Baig, L. R. Barnett, et al., IEEE Trans. Electron Devices, 59, No. 1, 234 (2012).
A. Baig, D. Gamzina, R. Barchfeld, et al., Phys. Plasmas, 19, No. 9, 093110 (2012).
C. D. Joye, J. P. Calame, A. M. Cook, and M. Garven, IEEE Trans. Electron Devices, 60, No. 1, 506 (2013).
Zh. Wang, Y. Gong, Y. Wei, et al., IEEE Trans. Electron Devices, 60, No. 1, 471 (2013).
Yu. G. Al’tshuler and A. S. Tatarenko, Low-Power Backward-Wave Oscillators [in Russian], Sovetskoe Radio, Moscow (1963).
H. P. Freund and T. M. Abu-Elfadl, IEEE Trans. Plasma Sci., 32, No. 3, 1015 (2004).
Y.-M. Shin, L. R. Barnett, and N. C. Luhmann, Appl. Phys. Lett ., 93, 221504 (2008).
High Frequency Structure Simulator (HFSS), ANSYS Inc., Pittsburg, PA, USA; http://www.ansoft.com/products/hf/hfss/.
CST Microwave Studio—3D EM Simulation Software. Computer Simulation Technology, Wellesley Hills, MA, USA; http://www.cst.com/Content/Products/MWS/Overview.aspx.
R. A. Silin and V. P. Sazonov, Slow-Wave Systems [in Russian], Sovetskoe Radio, Moscow (1966).
R. Mittra and T. Itoh, in: Computational Methods in Electrodynamics [Russian translation], Mir, Moscow (1977), p. 359.
G. F. Zargano, V. P. Lyapin, V. S. Mikhalevsky, et al., Complex Cross-Section Waveguides [in Russian], Radio i Svyaz’, Moscow (1096).
H. Bateman and A. Erdélyi, Higher Transcendental Functions. Bessel Functions, Parabolic Cylinder Functions, and Orthogonal Polynomials, McGraw-Hill, New York–Toronto–London (1953).
R. Mittra and S. W. Lee, Analytical Techniques in the Theory of Guided Waves, MacMillan (1971).
A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, Vol. 2: Special Functions, Gordon and Breach, New York (1990).
Mathematica, Version 6.0. Wolfram Research Inc., Champaign, IL, USA.
I. A. Nakrap, G. S. Samokhin, R. A. Silin, and V. S. Strizhenko, Élektron Tekh. Élektron. SVCh, No. 12, 36 (1973).
A. P. Kuznetsov, S. P. Kuznetsov, A. G. Rozhnev, et al., Radiophys. Quantum Electron., 47, Nos. 5–6, 341 (2004).
N. M. Ryskin, V. N. Titov, and A. V. Yakovlev, IEEE Trans. Electron Devices, 56, No. 5, 928 (2009).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 56, Nos. 8–9, pp. 601–613, August–September 2013.
Rights and permissions
About this article
Cite this article
Rozhnev, A.G., Ryskin, N.M., Karetnikova, T.A. et al. Studying Characteristics of the Slow-Wave System of the Traveling-Wave Tube with a Sheet Electron Beam. Radiophys Quantum El 56, 542–553 (2014). https://doi.org/10.1007/s11141-014-9457-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11141-014-9457-1