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Waves Excitation in Electrodynamic Volumes with Coordinate Boundaries

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

General equations and general ratios of electrodynamics, boundary conditions for electromagnetic fields, methods of boundary problems solutions and the method of Green’s tensor function creation, which will be used throughout the book, are briefly presented in this chapter to facilitate understanding of the manuscript materials by readers. The materials in this chapter, along with commentaries on aspects of electrodynamic theory, will permit a reader to use the book in his of her work without having to track down specialized, largely unavailable, literature.

Helmholtz’s Equations in the Problems of Electrodynamics

Let us consider the oscillations that are harmonic in time, meaning that non-harmonic oscillations can be studied by their expansion in series or Fourier’s integral in term of harmonic components. When choosing the dependence from the time t in the form of \(e^{i\omega t}\)

Keywords

Antenna Element Impedance Boundary Condition Electrodynamic Problem Impress Current Slot Aperture 
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References

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    Debye, P.: Lichtuck auf Kugelu von beliebigen materiab. Ibid. 57–136 (1909)Google Scholar
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    Weinstein, L.A.: Electromagnetic Waves. Radio & Communication, Moskow (1988) (in Russian)Google Scholar
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    Penkin, Yu.M., Katrich, V.A.: Excitation of Electromagnetic Waves in the Volumes with Coordinate Boundaries. Fakt, Kharkov (2003) (in Russian)Google Scholar
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    Mittra, R. (ed.): Computer Techniques for Electromagnetics. Pergamon Press, Oxford, New York, (1973)Google Scholar
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    Popovich, B.: Polynomial approximation of current along thin symmetrical cylindrical dipoles. Proc. Inst. Elec. Eng. 117, 873–878 (1970)CrossRefGoogle Scholar
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    King, R.W.P., Mack, R.B., Sandler S.S.: Arrays of Cylindrical Dipoles. Cambridge University Press, NY (1968)CrossRefGoogle Scholar
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    Morse, P.M., Feshbach, H.: Methods of Theoretical Physics. McGraw-Hill, New York (1953)MATHGoogle Scholar
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    Felsen, L.B., Marcuvitz, N.: Radiation and Scattering of Waves. Prentice-Hall, New Jersey, (1973)Google Scholar
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    Khizhnyak, N.A.: Integral Equations of Macroscopical Electrodynamics. Naukova dumka, Kiev (1986) (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

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