ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Solntsev V. A. Theory of waveguides excitation. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 3, pp. 55-89. DOI: 10.18500/0869-6632-2009-17-3-55-89

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text PDF(Ru):
PDF icon 2009no3p055.pdf
(downloads: 1469)
Language: 
Russian
Heading: 
Review of Actual Problems of Nonlinear Dynamics
Article type: 
Review
UDC: 
537.862
DOI: 
10.18500/0869-6632-2009-17-3-55-89

Theory of waveguides excitation

Autors: 
Solntsev Viktor Anatolevich, Moscow Insitute of Electronics and Mathematics of National Research University "Higher School of Economics"
Abstract: 

The theory of waveguide excitation is presented, based on expansions of the electromagnetic field by proper waves of waveguide. Necessary properties of smooth and periodic waveguides, including the conditions of orthogonality of plane and the volume of the waveguide are given. Main properties of pseudo-periodic waveguides are described. This is a new class of waveguide systems. Different forms of the waveguides-excitation theory are considered. The waveguide form of the theory uses the expansion of the excited electromagnetic field by series of proper waves at a frequency of excitation, and with unexpansable part of the field, which may be caused by the longitudinal current (L. Weinstein), or by quasi-static field (V. Solntsev), etc. Essential improvement of series convergent at quasi-static field separation is proved. Another, waveguide-resonator form of the waveguide-excitation theory uses the expansion of a field by series of proper waves with fixed wave-numbers and different frequencies. In this case the quasi-static electric field is separated also. The equivalence of waveguide form and resonator form of excitation theory is proved. The analyze of total excited electromagnetic field is carried out. A finitedifference equation of excitation of modes is given with no singularities and applicable inside, outside, and on the boundary of waveguides bandwidth. The possibility is notes of dynamic correction influence on electrons interaction laws in the charge space.

Key words: 
Waveguide
slow-wave structure
pseudoperiodic structure
theory of excitation
modes
field of space charge
Reference: 
  1. Solntsev VA. Theory of excitation of waveguides. Materials of the seminar school. XIV International Winter School-Seminar on ultrahigh-frequency electronics and radiophysics. Saratov, February 3-8, 2009. Saratov: RATA; 2009. p. 89. (In Russian).
  2. Shelkunoff SA. Electromagnetic Waves. New York: D.Van Nostrand; 1944. 530 p.
  3. Mandelstam LI. Some issues related to the excitation and propagation of electromagnetic waves in pipes. JTF. 1945;15(9):461.
  4. Volman II. Excitation of electromagnetic waves by a linear vibrator in a rectangular waveguide. Radioengineering. 1946;1(9):18.
  5. Slater J. Transmission of ultra-short radio waves. Moscow - Leningrad: Gostehizdat; 1946. 345 p. (In Russian).
  6. Feld YB. About one method of calculation of excitation of waveguides, exo-and endovibrators. JTF. 1947;17(12):1471–1482.
  7. Kisunko GV. To the theory of excitation of radio waves. JTF. 1946;51(3):195–198.
  8. Kisunko GV. Electrodynamics of hollow systems. Leningrad: VKAS; 1949. 426 p. (In Russian).
  9. Samarskii AA, Tikhonov AN. About excitation of radio waves. V. 1 – JTF. 1947;17(11):1283–1296; V. 2 – JTF. 1947;17(12):1431–1440; V. 4. – JTF. 1948;18(7):971–985.
  10. Pierce JR. Traveling wave tubes. Ed. Ovcharov VT. Moscow: Sovetskoe radio; 1952. 232 p. (In Russian).
  11. Weinstein LA. Waveguide excitation. JTF. 1953;23(4):654–666.
  12. Weinstein LA. Electromagnetic waves. Moscow: Radio i svayz; 1988. 440 p. (In Russian).
  13. Weinstein LA. Electronic waves in periodic structures. Technical Physics. 1957;27(10):2340–2352.
  14. Solntsev VA. Excitation of homogeneous and periodic waveguides by third-party currents. Technical Physics. 1968;38(1):100–108.
  15. Solntsev VA, Romashin NL. To the construction of different forms of the theory of excitation of periodic waveguides. Journal Of Communications Technology And Electronics. 1983;28(9):1811.
  16. Slater J. Ultra-high frequency electronics. Moscow: Sovetskoe radio; 1948. 191 p.
  17. Akhiezer AI, Lubarsky GYa, Feinberg YB. About the Cherenkov effect and the complex Doppler effect Transactions (Doklady) of the USSR Academy of Sciences. 1950;73(1):55.
  18. Solntsev VA. Nonlinear phenomena and spatial charge in electronic microwave devices of type O. Dissertation for the degree of Doctor of Physics and Mathematics. Moscow: Central Order of Lenin Research Radio Engineering Institute; 1972.
  19. Solntsev VA. Propagation of waves in periodic electronic flows and their interaction with electromagnetic field of waveguide systems. Dissertation for the degree of Doctor of Physics and Mathematics. Moscow: Moscow Order of Lenin and Order of the Red Banner of Labor, Lomonosov State University; 1960.
  20. Solntsev VA. Mode selection in pseudoperiodical waveguides and slow-wave structures. Proc. SPIE, v. 2250. Conference Digest. International Conference on Milli-meter and Submillimeter waves and Application. 10–14 January 1994, San Diego, California. 399–400 p.
  21. Solntsev VA. Inhomogeneous retarding systems with wave selection. International. conf. The 100th anniversary of the beginning of the use of electromagnetic waves for transmitting messages and the emergence of radio technology. Moscow, Theses of reports. Ч. 2. 1995. p. 136.
  22. Solntsev VA, Solntseva KP. Mode selection in pseudoperiodical waveguides and slow-wave structures. Trans. Black Sea region Symposium on Applied Electro-magnetism, Metsovo, Epirus-Hellas, N.T.U.A. Press, Athens, 1996, MMWS. p. 13.
  23. Solntsev VA. Pseudoperiodic Waveguides with Selection of Spatial Harmonics and Modes. Journal of Communications Technology and Electronics. 1998;43(11):1193–1198.
  24. Krasnushkin PE, Moiseev EI. The excitation of forced oscillations in a stratified radio-waveguide. Dokl. Akad. Nauk SSSR. 1982;264(5):1123–1127.
  25. Bogolyubov AN, Delitsyn AL, Sveshnikov AG. On the completeness of the set of eigen- and associated functions of a waveguide. Comput. Math. Math. Phys. 1998;38(11):1815–1823.
  26. Bogolyubov AN, Delitsyn AL, Sveshnikov AG. On the problem of excitation of a waveguide filled with an inhomogeneous medium. Comput. Math. Math. Phys. 1999;39(11):1794–1813.
  27. Bogolyubov AN, Delitsyn AL, Sveshnikov AG. About the task of excitation of traveling waves in a radio wave by local current. Journal of Communications Technology and Electronics. 2000;45(9):1084.
  28. Feld YB. Reciprocity theorem for unidentified processes in electrodynamics. Dokl. Akad. Nauk SSSR. 1943;41(7):7.
  29. Silin RA. Periodic waveguides. Moscow: Fazis; 2002. 436 p. (In Russian).
  30. Rapoport GN. On Compliance of Power and Phase Characteristics of Electrical Filters. JTF. 1954;24(8):1496.
  31. Solntsev VA. Flat spiral systems with a constant radial phase velocity of waves. Journal of Communications Technology and Electronics. 1994;39(4):552–559.
  32. Solncev VA, Nikonov DY. Spatial and frequency selection of waves in pseudoperiodic slow-wave structures. Journal of Communications Technology and Electronics. 2006;51(8):948–959. DOI: 10.1134/S1064226906080134.
  33. Weinstein LA, Sun VA. Lectures on ultra-high frequency electronics. Moscow: Sovetskoe radio; 1973. 400 p. (In Russian).
  34. Vlasov AA. Macroscopic electrodynamics. Moscow: Gostehizdat; 1955. 228 p. (In Russian).
  35. Goldstein LD, Zernov NV. Electromagnetic fields and waves. Moscow: Sovetskoe radio; 1971. 662 p. (In Russian).
  36. Hajduk VI, Chambers KI, Petrov DM. Physical basics of microwave electronics. Moscow: Sovetskoe radio; 1971. 600 p. (In Russian).
  37. Kanavets VI. Kulonovskaya calibration of potentials and equations of nonlinear theory of powerful instruments with electron beams. Moscow University Physics Bulletin. 1975;16(2):159.
  38. Nechaev VE. Instabilities of a relativistic electron beam in an iris waveguide. Radiophys Quantum Electron. 1977;20(4):408–413. DOI: 10.1007/BF01033930.
  39. Loshakov LN, Pchelnikov YN. Theory and calculation of the amplification of a running wave lamp. Moscow: Sovetskoe radio; 1964. 239 p.
  40. Loshakov LN, Olderogge EB, Pchelnikov YuN. Journal of Communications Technology and Electronics. 1965;10(4):681.
  41. Romashin NL, Solntsev VA. Study of non-resonant fields in O-type electron-wave systems. Soviet Journal of Communications Technology and Electronics. 1988;33(3):569.
  42. Kleen W. Electronics of microwave tubes. V. II. Ed. Solncev VA. Moscow: Sovetskoe radio; 1963. 271 p. (In Russian).
  43. Arkadaksky SS, Tsikin BG. Excitation equations of homogeneous waveguide systems at cutoff frequency. Radio Engineering and Electronic Physics. 1976;21(3):608.
  44. Solntsev VA, Kravchenko NP. Wave linear theory of LBV near the bandwidth boundary. Radio Engineering and Electronic Physics. 1978;23(5):1103.
  45. Osin AB, Solntsev VA. Electron waves in beyond-limit periodic structures. Radio Engineering and Electronic Physics. 1979;24(7):1380–1388.
  46. Kuznetsov AP, Kuznetsov SP. Nature of the instability in a TWT in the region of the limit of the passband. Radiophys Quantum Electron. 1980;23(9):736–743. DOI: 10.1007/BF01080592.
  47. Kuznetsov AP, Kuznetsov SP, Rozhnev AG. et al. Wave Theory of a Traveling-Wave Tube Operated Near the Cutoff. Radiophysics and Quantum Electronics. 2004; 47(5-6):356–373. DOI: 10.1023/B:RAQE.0000046310.29763.c1.
  48. Solntsev VA, Mukhin SV. The difference form of the theory of excitation of periodic waveguides. Soviet Journal of Communications Technology and Electronics. 1991;36(11):2161–2166.
  49. Solntsev V.A. Three lectures on the theory of a lamp with a running wave. Lectures on microwave electronics and radiophysics. Saratov: Kollege; 1996. p. 76. (In Russian).
  50. Gavrilov MV, Trubetskov DI, Fisher VL. Theory of chains of active multipoles with electronic excitation (model of interaction of an electron beam with fields of coupled resonators). Lectures on microwave electronics and radiophysics. Saratov: Saratov University Publishing; 1981. p. 173. (In Russian).
  51. Solntsev VA, Koltunov RP. Analysis of the equations of discrete electron-wave interaction and grouping of electron flows in periodic and pseudo-periodic retarding systems. Journal of Communications Technology and Electronics. 2008;53(6):738–751.
  52. Koltunov RP, Solntsev VA. The theory of electron-wave interaction in the TWT with pseudoperiodic slow-wave systems. Book of Abstract and Conference Program. 10-th International Vacuum Electronic Conference, 28–30 April 2009 (IVEC-2009), Rome.
  53. Nikolsky VV. Variational methods for internal problems of electrodynamics.Moscow: Nauka; 1967. 460 p. (In Russian).
  54. Sveshnikov AG. Proceedings of the russian higher school academy of sciences. 1959;2.
  55. Sveshnikov AG. Radiophysics and Quantum Electronics. №2,5.
  56. Il'inskii AS, Sveshnikov AG. Methods for investigating irregular waveguides. U.S.S.R. Comput. Math. Math. Phys. 1968;8(2):167–180.
  57. Kuraev AA. Theory and optimization of electronic microwave devices. Minsk: Nauka i tehnika. 1979. 334 p. (In Russian).
  58. Rowe JE. Nonlinear electron wave interaction phenomena. Moscow: Sovetskoe radio. 1969. 615 p. (In Russian).
Received: 
28.05.2009
Accepted: 
28.05.2009
Published: 
31.07.2009
Short text (in English):
PDF icon a2009no3p055.doc_.pdf
(downloads: 117)
  • 3425 reads