Skip to main content
SpringerLink
Log in

Mathematical modeling of waveguide transitions

  • Electrodynamics and Wave Propagation
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

Results of simulation of waveguide transitions performed at the Department of Mathematics of the Faculty of Physics, Moscow State University, are presented. Synthesis of waveguide transitions is based on the incomplete Galerkin method and the finite-difference technique formulated in the direct and projection forms (the finite-element method) and involves the Tikhonov regularization method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. G. Sveshnikov and A. S. Il’inskii, Zh. Vychisl. Mat. Mat. Fiz. 3, 478 (1963).

    Google Scholar 

  2. S. A. Schelkunoff, Bell Syst. Tech. J. 34, 995 (1955).

    MathSciNet  Google Scholar 

  3. B. Z. Katsenelenbaum, Theory of Irregular Waveguides with Slowly Varying Parameters (Akad. Nauk SSSR, Moscow, 1961) [in Russian].

    Google Scholar 

  4. A. G. Sveshnikov, Dokl. Akad. Nauk SSSR 110, 197 (1956).

    MATH  MathSciNet  Google Scholar 

  5. A. S. Il’inskii, V. V. Kravtsov, and A. G. Sveshnikov, Mathematical Models in Electromagnetics (Vysshaya Shkola, Moscow, 1991) [in Russian].

    Google Scholar 

  6. A. S. Il’inskii and A. G. Sveshnikov, Zh. Vychisl. Mat. Mat. Fiz. 8, 363 (1968).

    Google Scholar 

  7. A. G. Sveshnikov, B. I. Volkov, and S. Ya. Sekerzh-Zen’kovich, in Computational Methods and Programming (Mosk. Gos. Univ., Moscow, 1966), Vol. 5, p. 210 [in Russian].

    Google Scholar 

  8. S. L. Viktorova and A. G. Sveshnikov, Nauch. Dokl. Vyssh. Shkoly, Fiz.-Mat. Nauki, No. 2, 133 (1958).

  9. M. Gouguet, Cables Transm. 1(2), 133 (1947).

    Google Scholar 

  10. V. V. Zemlyakov, G. F. Zargano, and G. P. Sinyavskii, Radiotekh. Elektron. (Moscow) 50, 180 (2005) [J. Commun. Technol. Electron. 50, 164 (2005)].

    Google Scholar 

  11. L. A. Vainshtein, Electromagnetic Waves (Sovetskoe Radio, Moscow, 1957) [in Russian].

    Google Scholar 

  12. A. G. Sveshnikov, Radiotekh. Elektron. (Moscow) 1, 1222 (1956).

    Google Scholar 

  13. B. Z. Katsenelenbaum, Radiotekh. Elektron. (Moscow) 1, 171 (1956).

    Google Scholar 

  14. A. A. Samarskii, Theory of Difference Schemes (Nauka, Moscow, 1983) [in Russian].

    Google Scholar 

  15. A. G. Sveshnikov, Dokl. Akad. Nauk SSSR 3, 317 (1950).

    Google Scholar 

  16. A. G. Sveshnikov and A. N. Bogolyubov, Zh. Vychisl. Mat. Mat. Fiz. 14, 947 (1974).

    MATH  Google Scholar 

  17. A. N. Bogolyubov, A. L. Delitsyn, and A. V. Lavrenova, Radiotekhnika, No. 12, 20 (2004).

  18. A. N. Bogolyubov, D. V. Minaev, and A. G. Sveshnikov, Zh. Vychisl. Mat. Mat. Fiz. 42, 514 (2002) [Comput. Math. Math. Phys. 42, 492 (2002)].

    MATH  MathSciNet  Google Scholar 

  19. L. M. Andrushko, in Quantum Electronics (Naukova Dumka, Kiev, 1982), No. 23, p. 98 [in Russian].

    Google Scholar 

  20. V. V. Kozlovskii, Radiotekh. Elektron. (Moscow) 36, 1102 (1991).

    Google Scholar 

  21. L. M. Andrushko and K. P. Naumenko, Svetotekhnika, No. 5, 15 (1986).

  22. I. P. Rudenok, Fiz. Voln. Protsessov Radiotekh. Sist. 1(1), 33 (1998).

    Google Scholar 

  23. V. A. Neganov, A. A. Danilov, and O. A. Kuz’min, Radiotekhnika, No. 12, 59 (1998).

  24. A. G. Sveshnikov, in Problems of Mathematical Physics and Computational Mathematics (Nauka, Moscow, 1979), p. 287.

    Google Scholar 

  25. A. G. Sveshnikov and A. S. Il’inskii, Dokl. Akad. Nauk SSSR 204, 1077 (1972).

    Google Scholar 

  26. A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of Ill-Posed Problems (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  27. A. N. Bogolyubov, A. V. Krasil’nikova, D. V. Minaev, and A. G. Sveshnikov, Mat. Model. 12(1), 13 (2000).

    MATH  MathSciNet  Google Scholar 

  28. A. N. Bogolyubov and D. V. Minaev, Vestn. Mosk. Univ., Ser. 3: Fiz., Astron. 34(2), 67 (1993).

    MATH  Google Scholar 

  29. A. G. Sveshnikov, A. N. Bogolyubov, D. V. Minaev, and A. V. Sychkova, Radiotekh. Elektron. (Moscow) 38, 804 (1993).

    Google Scholar 

  30. A. N. Bogolyubov and I. A. Butkarev, Vestn. Mosk. Univ., Ser. 3: Fiz., Astron., No. 2, 3 (2002).

  31. A. N. Bogolyubov and I. A. Butkarev, Vestn. Mosk. Univ., Ser. 3: Fiz., Astron., No. 4, 6 (2003).

  32. J. A. Nelder and R. Mead, Comput. J. 7, 308 (1965).

    MATH  Google Scholar 

  33. V. V. Voevodin and Vl. V. Voevodin, Parallel Computing (BKhV-Peterburg, St. Petersburg, 2002) [in Russian].

    MATH  Google Scholar 

  34. A. N. Bogolyubov, A. V. Krasil’nikova, D. V. Minaev, and A. G. Sveshnikov, Radiotekhnika, No. 1, 81 (1997).

  35. A. G. Sveshnikov, A. N. Bogolyubov, and D. V. Minaev, Vestn. Mosk. Univ., Ser. 3: Fiz., Astron., No.4, 50 (1997)

  36. A.R. Mitchell and R. Wait, The Finite Element Method in Partial Differential Equations (Wiley, London, 1977; Mir, Moscow, 1981).

    MATH  Google Scholar 

  37. S. Pissanetzky, Sparse Matrix Technology (Academic, London, 1984; Mir, Moscow, 1988).

    MATH  Google Scholar 

  38. Ph. G. Ciarlet, The Finite Element Method for Elliptic Problems (North-Holland, Amsterdam, 1978; Mir, Moscow, 1980).

    MATH  Google Scholar 

Download references

Authors
  1. A. G. Sveshnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. N. Bogolyubov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. A. Butkarev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © A.G. Sveshnikov, A.N. Bogolyubov, I.A. Butkarev, 2006, published in Radiotekhnika i Elektronika, 2006, Vol. 51, No. 8, pp. 901–915.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sveshnikov, A.G., Bogolyubov, A.N. & Butkarev, I.A. Mathematical modeling of waveguide transitions. J. Commun. Technol. Electron. 51, 842–856 (2006). https://doi.org/10.1134/S106422690608002X

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S106422690608002X

PACS numbers

Search

Navigation