Advertisement

Problem Formulation and Initial Integral Equations; Averaging Method

  • Mikhail V. Nesterenko
  • Victor A. Katrich
  • Yuriy M. Penkin
  • Sergey L. Berdnik
Chapter

The problem of electromagnetic coupling of two waveguides through apertures in their common walls is a classical problem that attracted the attention of many investigators, starting with the paper written by Bethe in 1944 [2.1]. The narrow slots with the length of 2L commensurable with the operating wavelength of \(\lambda\)

Keywords

Rectangular Waveguide Differential Equation System Asymptotic Average Narrow Wall Narrow Slot 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 2.1
    Bethe, H.A.: Theory of diffraction by small holes. Phys. Rev. 66, 163–182 (1944)MathSciNetMATHCrossRefGoogle Scholar
  2. 2.2
    Stevenson, A.F.: Theory of slots in rectangular wave-guides. J. Appl. Phys. 19, 24–38 (1948)MathSciNetCrossRefGoogle Scholar
  3. 2.3
    Lewin, L.: Some observations on waveguide coupling through medium sized slots. Proc. Inst. Elec. Eng. 107C, 171–178 (1960)MathSciNetGoogle Scholar
  4. 2.4
    Sangster, A.J.: Variational method for the analysis of waveguide coupling. Proc. Inst. Elec. Eng. 112, 2171–2179 (1965)CrossRefGoogle Scholar
  5. 2.5
    Levinson, I.B., Fredberg, P.Sh.: Slot couplers of rectangular one mode waveguide equivalent circuits and lumped parameters. Radio Eng. and Electron. Phys. 11, 717–724 (1966)Google Scholar
  6. 2.6
    Khac, T.Vu.: Solutions for some waveguide discontinuities by the method of moments. IEEE Trans. Microwave Theory and Tech. MTT-20, 416–418 (1972)Google Scholar
  7. 2.7
    Rengarajan, S.R.: Analysis of a centered-inclined waveguide slot coupler. IEEE Trans. Microwave Theory and Tech. MTT-37, 884–889 (1989)CrossRefGoogle Scholar
  8. 2.8
    Das, B.N., Chakraborty, A., Narasimha Sarma, N.V.S.: S matrix of slot-coupled H-plane Tee junction using rectangular waveguides. IEEE Trans. Microwave Theory and Tech. MTT-38, 779–781 (1990)CrossRefGoogle Scholar
  9. 2.9
    Pandharipande, V.M., Das, B.N.: Coupling of waveguides through large apertures. IEEE Trans. Microwave Theory and Tech. MTT-26, 209–212 (1978)CrossRefGoogle Scholar
  10. 2.10
    Pandharipande, V.M., Das, B.N.: Equivalent circuit of a narrow-wall waveguide slot coupler. IEEE Trans. Microwave Theory and Tech. MTT-27, 800–804 (1979)MathSciNetCrossRefGoogle Scholar
  11. 2.11
    Sangster, A.J., Wang, H.: A hybrid analytical technique for radiating slots in waveguide. Journal of Electromagnetic Waves and Applications 9, 735–755 (1995)CrossRefGoogle Scholar
  12. 2.12
    Katrich, V.A., Nesterenko, M.V., Khizhnyak, N.A.: Asymptotic solution of integral equation for magnetic current in slot radiators and coupling apertures. Telecommunications and Radio Engineering. 63, 89–107 (2005)CrossRefGoogle Scholar
  13. 2.13
    Butler, C.M., Umashankar, K.R.: Electromagnetic excitation of a wire through an aperture-perforated conducting screen. IEEE Trans. Antennas and Propagat. AP-24, 456–462 (1976)CrossRefGoogle Scholar
  14. 2.14
    King, R.W.P.: The Theory of Linear Antennas. Harv. Univ. Press, Cambr.-Mass. (1956)MATHGoogle Scholar
  15. 2.15
    Naiheng, Y., Harrington, R.: Electromagnetic coupling to an infinite wire through a slot in a conducting plane. IEEE Trans. Antennas and Propagat. AP-31, 310–316 (1983)CrossRefGoogle Scholar
  16. 2.16
    Bogolyubov, N.N., Mitropolsky, U.A.: Asymptotic Methods in the Theory Nonlinear Fluctuations. Nauka, Moskow (1974) (in Russian)Google Scholar
  17. 2.17
    Philatov, A.N.: Asymptotic Methods in the Theory of Differential and Integral-differential Equations. PHAN, Tashkent (1974) (in Russian)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  • Mikhail V. Nesterenko
    • 1
  • Victor A. Katrich
    • 1
  • Yuriy M. Penkin
    • 2
  • Sergey L. Berdnik
    • 1
  1. 1.Department of RadiophysicsV.N. Karazin Kharkov National UniversityUkraine
  2. 2.Department of Information TechnologyNational Pharmaceutical UniversityUkraine

Personalised recommendations