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Analytical Solution of the Integral Equations for the Current by the Averaging Method

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

In this chapter the asymptotic averaging method has been used to obtain the general approximate analytical expression for the magnetic current in the slot applied both for the adjusted slots (\(kL = n\pi /2\)

Keywords

Moment Method Rectangular Waveguide Magnetic Current Couple Volume Magnetomotive Force 
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References

  1. 3.1
    Garb, H.L., Levinson, I.B., Fredberg, P.Sh.: Effect of wall thickness in slot problems of electrodynamics. Radio Eng. Electron Phys. 13, 1888–1896 (1968)Google Scholar
  2. 3.2
    Warne, L.K.: Eddy current power dissipation at sharp corners: closely spaced rectangular conductors. Journal of Electromagnetic Waves and Applications. 9, 1441–1458 (1995)CrossRefGoogle Scholar
  3. 3.3
    Khac, T.Vu., Carson, C.T.: Coupling by slots in rectangular waveguides with arbitrary wall thickness. Electronics Letters. 8, 456–458 (1972)CrossRefGoogle Scholar
  4. 3.4
    Berdnik, S.L., Katrich, V.A., Kiiko, V.I., Nesterenko, M.V.: Electrodynamic characteristics of the nonresonant system of transverse slots in the wide wall of rectangular waveguide. Radioelectronics and Communications Systems. 48, 52–57 (2005)Google Scholar
  5. 3.5
    Nesterenko, M.V., Katrich, V.A.: The asymptotic solution of an integral equation for magnetic current in a problem of waveguides coupling through narrow slots. Progress In Electromagnetics Research. PIER 57, 101–129 (2006)CrossRefGoogle 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

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