Infocommunications and Radio Technologies Infocommunications and Radio Technologies ИНФОКОММУНИКАЦИОННЫЕ И РАДИОЭЛЕКТРОННЫЕ ТЕХНОЛОГИИ 2587-9936 52818 10.15826/icrt.2018.01.1.02 ФИЗИКА (01.04.00) PHYSICS (01.04.00) ФИЗИКА (01.04.00) Isolation of two-dimensional E-fields in the excitation equations for hollow waveguides Выделение двумерного электрического поля в уравнениях возбуждения для полых волноводов Кураев А А Kuraev A A Короновский А А Koronovskii A A Куркин С А Kurkin S A Рак А О Rak A O Ремпен И С Rempen I S Бадарин А А Badarin A A Храмов А Е Hramov A E hramovae@gmail.com Белорусский государственный университет информатики и радиоэлектроники ru Belarusian State University of Informatics and Radioelectronics ru Саратовский национальный исследовательский государственный университет им. Н.Г. Чернышевского ru Saratov State University ru Белорусский государственный университет информатики и радиоэлектроники; Саратовский государственный университет ru Belarusian State University of Informatics and Radioelectronics; Saratov State University ru Белорусский государственный университет информатики и радиоэлектроники ru Belarusian State University of Informatics and Radioelectronics ru Саратовский национальный исследовательский государственный университет им. Н.Г. Чернышевского ru Saratov State University ru Саратовский государственный технический университет им. Гагарина Ю.А. ru Saratov State Technical University ru Саратовский государственный университет ru Saratov State University ru 25 03 2018 25 03 2018 1 1 17 28 20 03 2018 https://rusjbpc.ru/en/nauka/article/52818/view

Хорошо известно, что уравнения возбуждения волноводов Л. А. Вайнштейна основываются на возбуждении сторонними источниками тока электромагнитного поля в виде суммы ТЕ и ТМ собственных волн полого волновода, при этом поперечные компоненты образуют полный базис в классе поперечных векторов секции волновода. Тем не менее, в области источников возбуждения (продольный зонд, электронный пучок) волновод не является полым и в этой области возникает потенциальное поперечное электрическое поле. Поперечное электрическое поле дополняет структуру основных ТЕ и ТМ волн. Это не учитывается в традиционных уравнениях возбуждения. В настоящей работе произведена необходимая корректировка уравнений возбуждения в области источников.

The traditional excitation equations of the Vainshtein waveguide excitation theory based on presenting the field excited by extraneous sources as a sum of TE and TM eigenwaves of the hollow waveguide, which transversal components form the complete basis in the class of the transversal vectors of a waveguide section. However, in the excitation sources area (longitudinal sonde, electron beam) the waveguide is not hollow and the potential transverse electric field appears in this area. The transversal electric field completes the basis of TE and TM waves. This is not taken into account in the traditional excitation equations. In this paper, the necessary correction of the excitation equations in the sources area is obtained.

 теория волноводов Вайнштейна уравнения возбуждения электронный пучок Vainshtein waveguide excitation theory excitation equation electron beam

S. Ahmed and Li Er Ping, “Application of singular value decomposition on FDTD simulation result - a novel approach for modal analysis of complex electromagnetic problems,” IEEE Microw. Wirel. Components Lett., vol. 14, no. 11, pp. 519-521, Nov. 2004. doi: 10.1109/LMWC.2004.837066 S. Ahmed and Li Er Ping, “Application of singular value decomposition on FDTD simulation result - a novel approach for modal analysis of complex electromagnetic problems,” IEEE Microw. Wirel. Components Lett., vol. 14, no. 11, pp. 519-521, Nov. 2004. doi: 10.1109/LMWC.2004.837066 V. A. Solntsev, “Beam-wave interaction in the passbands and stopbands of periodic slowwave systems,” IEEE Trans. Plasma Sci., vol. 43, no. 7, pp. 2114-2122, 2015. doi: 10.1109/TPS.2015.2440479 V. A. Solntsev, “Beam-wave interaction in the passbands and stopbands of periodic slowwave systems,” IEEE Trans. Plasma Sci., vol. 43, no. 7, pp. 2114-2122, 2015. doi: 10.1109/TPS.2015.2440479 C. H. Cheng, C. H. Tsai, and T. L. Wu, “A novel time domain method to extract equivalent circuit model of patterned ground structures,” IEEE Microw. Wirel. Components Lett., vol. 20, no. 9, pp. 486-488, 2010. C. H. Cheng, C. H. Tsai, and T. L. Wu, “A novel time domain method to extract equivalent circuit model of patterned ground structures,” IEEE Microw. Wirel. Components Lett., vol. 20, no. 9, pp. 486-488, 2010. J. Aguilera, M. J. Freire, R. Marques, and F. Medina, “Quasi-TEM model of magnetostaticsurface wave excitation in microstrip lines,” IEEE Microw. Wirel. Components Lett., vol. 14, no. 11, pp. 516-518, 2004. doi: 10.1109/LMWC.2004.837067 J. Aguilera, M. J. Freire, R. Marques, and F. Medina, “Quasi-TEM model of magnetostaticsurface wave excitation in microstrip lines,” IEEE Microw. Wirel. Components Lett., vol. 14, no. 11, pp. 516-518, 2004. doi: 10.1109/LMWC.2004.837067 F. Mesa, C. Di Nallo, and D. R. Jackson, “The theory of surface-wave and space-wave leaky-mode excitation on microstrip lines,” IEEE Trans. Microw. Theory Tech., vol. 47, no. 2, pp. 207-215, 1999. F. Mesa, C. Di Nallo, and D. R. Jackson, “The theory of surface-wave and space-wave leaky-mode excitation on microstrip lines,” IEEE Trans. Microw. Theory Tech., vol. 47, no. 2, pp. 207-215, 1999. L. A. Vainshtein and V. A. Solntsev, Lektsii po sverkhvysokochastotnoi elektronike [Lectures on high-frequency electronics]. Moscow: Sov. radio, 1973. (In Russ.). L. A. Vainshtein and V. A. Solntsev, Lektsii po sverkhvysokochastotnoi elektronike [Lectures on high-frequency electronics]. Moscow: Sov. radio, 1973. (In Russ.). L. A. Vainshtein, Elektromagnitnye volny [Electromagnetic waves]. Moscow: Radio i svyaz, 1988. (In Russ.). L. A. Vainshtein, Elektromagnitnye volny [Electromagnetic waves]. Moscow: Radio i svyaz, 1988. (In Russ.). A. A. Kurayev, Sverkhvysokochastotnye pribory s periodicheskimi elektronnymi potokami [UHF devices with periodical electron beams]. Minsk: Nauka i tekhnika, 1971. (In Russ.). A. A. Kurayev, Sverkhvysokochastotnye pribory s periodicheskimi elektronnymi potokami [UHF devices with periodical electron beams]. Minsk: Nauka i tekhnika, 1971. (In Russ.). A. A. Kurayev, T. L. Popkova, and A. O. Rak, “Excitation equations for the arbitrarilyirregular coaxial waveguide,” in 2011 IEEE International Vacuum Electronics Conference (IVEC), 2011, pp. 353-354. A. A. Kurayev, T. L. Popkova, and A. O. Rak, “Excitation equations for the arbitrarilyirregular coaxial waveguide,” in 2011 IEEE International Vacuum Electronics Conference (IVEC), 2011, pp. 353-354. A. A. Barybin, “Modal expansions and orthogonal complements in the theory of complex media waveguide excitation by external sources for isotropic, anisotropic, and bianisotropic media,” Prog. Electromagn. Res., vol. 19, pp. 241-300, 1998. A. A. Barybin, “Modal expansions and orthogonal complements in the theory of complex media waveguide excitation by external sources for isotropic, anisotropic, and bianisotropic media,” Prog. Electromagn. Res., vol. 19, pp. 241-300, 1998. B. Z. Katsenelenbaum, M. Mercader del Río, L. Pereyaslavets, M. Sorolla Ayza, and M. Thumm, Theory of Nonuniform Waveguides: The Cross-Section Method. London: Inst. of Electrical Engineers, 1998. B. Z. Katsenelenbaum, M. Mercader del Río, L. Pereyaslavets, M. Sorolla Ayza, and M. Thumm, Theory of Nonuniform Waveguides: The Cross-Section Method. London: Inst. of Electrical Engineers, 1998. A. A. Barybin, “Excitation theory for space-dispersive active media waveguides,” J. Phys. D. Appl. Phys., vol. 32, no. 16, pp. 2014-2028, 1999. A. A. Barybin, “Excitation theory for space-dispersive active media waveguides,” J. Phys. D. Appl. Phys., vol. 32, no. 16, pp. 2014-2028, 1999. P. Bernardi, F. Andre, J.-F. David, A. Le Clair, and F. Doveil, “Control of the reflections at the terminations of a slowwave structure in the nonstationary discrete theory of excitation of a periodic waveguide,” IEEE Trans. Electron Devices, vol. 58, no. 11, pp. 4093-4097, 2011. doi: 10.1109/TED.2011.2163410 P. Bernardi, F. Andre, J.-F. David, A. Le Clair, and F. Doveil, “Control of the reflections at the terminations of a slowwave structure in the nonstationary discrete theory of excitation of a periodic waveguide,” IEEE Trans. Electron Devices, vol. 58, no. 11, pp. 4093-4097, 2011. doi: 10.1109/TED.2011.2163410 V. L. Bratman, A. A. Bogdashov, G. G. Denisov, M. Y. Glyavin, Y. K. Kalynov, A. G. Luchinin, V. N. Manuilov, V. E. Zapevalov, N. A. Zavolsky, and V. G. Zorin, “Gyrotron development for high power THz technologies in IAP RAS,” J. Infrared, Millimeter, Terahertz Waves, vol. 33, no. 7, pp. 715-723, 2012. doi: 10.1007/s10762-012-9898-6 V. L. Bratman, A. A. Bogdashov, G. G. Denisov, M. Y. Glyavin, Y. K. Kalynov, A. G. Luchinin, V. N. Manuilov, V. E. Zapevalov, N. A. Zavolsky, and V. G. Zorin, “Gyrotron development for high power THz technologies in IAP RAS,” J. Infrared, Millimeter, Terahertz Waves, vol. 33, no. 7, pp. 715-723, 2012. doi: 10.1007/s10762-012-9898-6 C. Wu, K. A. Avramidis, M. Thumm, and J. Jelonnek, “An improved broadband boundary condition for the RF field in gyrotron interaction modeling,” IEEE Trans. Microw. Theory Tech., vol. 63, no. 8, pp. 2459-2467, 2015. doi: 10.1109/TMTT.2015.2433270 C. Wu, K. A. Avramidis, M. Thumm, and J. Jelonnek, “An improved broadband boundary condition for the RF field in gyrotron interaction modeling,” IEEE Trans. Microw. Theory Tech., vol. 63, no. 8, pp. 2459-2467, 2015. doi: 10.1109/TMTT.2015.2433270 A. E. Hramov, V. V. Makarov, A. A. Koronovskii, S. A. Kurkin, M. B. Gaifullin, N. V. Alexeeva, K. N. Alekseev, M. T. Greenaway, T. M. Fromhold, A. Patanè, F. V. Kusmartsev, V. A. Maksimenko, O. I. Moskalenko, and A. G. Balanov, “Subterahertz chaos generation by coupling a superlattice to a linear resonator,” Phys. Rev. Lett., vol. 112, p. 116603, 2014. doi:10.1103/PhysRevLett.112.116603 A. E. Hramov, V. V. Makarov, A. A. Koronovskii, S. A. Kurkin, M. B. Gaifullin, N. V. Alexeeva, K. N. Alekseev, M. T. Greenaway, T. M. Fromhold, A. Patanè, F. V. Kusmartsev, V. A. Maksimenko, O. I. Moskalenko, and A. G. Balanov, “Subterahertz chaos generation by coupling a superlattice to a linear resonator,” Phys. Rev. Lett., vol. 112, p. 116603, 2014. doi:10.1103/PhysRevLett.112.116603 A. A. Kurayev, T. L. Popkova, and A. K. Sinitsin, Elektrodinamika i rasprostranenie radiovoln [Electrodynamics and wave propagation]. Minsk: Bestprint, 2004. (In Russ.). A. A. Kurayev, T. L. Popkova, and A. K. Sinitsin, Elektrodinamika i rasprostranenie radiovoln [Electrodynamics and wave propagation]. Minsk: Bestprint, 2004. (In Russ.). S. V. Kolosov, A. A. Kurayev, and A. I. Shakirin, “Perspectives for increasing the power of mm-wave gyrotrons,” J. Commun. Technol. Electron., vol. 34, no. 3, pp. 562-570, 1989. S. V. Kolosov, A. A. Kurayev, and A. I. Shakirin, “Perspectives for increasing the power of mm-wave gyrotrons,” J. Commun. Technol. Electron., vol. 34, no. 3, pp. 562-570, 1989. V. F. Kravchenko, A. A. Kurayev, V. I. Pustovoit, and A. K. Sinitsyn, “Nonlinear theory of relativistic Cherenkov generators based on irregular waveguides with allowance for finite wall conductance,” Dokl. Phys., vol. 52, no. 2, pp. 96-100, 2007. doi: 10.1134/S1028335807020061 V. F. Kravchenko, A. A. Kurayev, V. I. Pustovoit, and A. K. Sinitsyn, “Nonlinear theory of relativistic Cherenkov generators based on irregular waveguides with allowance for finite wall conductance,” Dokl. Phys., vol. 52, no. 2, pp. 96-100, 2007. doi: 10.1134/S1028335807020061