Radiation of waves by the fractal surface element

Authors

  • E. I. Veliev Usikov Institute of Radiophysics and Electronics of the National Academy of Sciences of Ukraine, Ukraine
  • Volodymir M. Onufrienko Zaporizhzhya National Technical University, Ukraine

DOI:

https://doi.org/10.1109/ICATT.1999.1236145

Abstract

The principle of the Huygens in classical statement ("each point of a wavefront set starts to a radiant of a spherical wave, and the position of front is as a superposition of elementary spherical waves") is inexact. At addition of elementary waves there should be still front behind of primary, that it is necessary frequently artificially to ignore [1].

The statement of the problem about a radiation of the fractal surface element enables to estimate presence of front of a radiation behind of initial front.

References

Nikolsky, V.V. Electrodynamics and Wave Propagation. Moscow: Nauka, 1973 [in Russian].

Veliev, E.; Onufrienko, V. Fractal Electrical and Magnetical Radiators. Proc. of Symp. MSMW-98, 15-17 September 1998, Kharkov, Ukraine. Kharkov, 1998, Vol. 1, pp. 357-359.

Feder, Е. Fractals. Moscow: Mir, 1991, 254 p. [in Russian, transl. from English].

Samko, S.G.; Kilbas, А.А.; Маrichev, О.I. Integrals and Derivatives of Fractional Order and Their Application. Мinsk: Nauka i Tekhnika, 1987, 688 p. [in Russian].

Engheta, N. On the Role of Fractional Calculus in Electromagnetic Theory. IEEE Antennas & Propagation Magazine, Aug. 1997, Vol. 39, No. 4, P. 35-46.

Onufrienko, V. On “α-features” of electrical waves above impedance plane. Proc. of 12 Int. Conf. on Microwaves & Radar, 20-22 May 1998, Krakov, Poland. Krakov, 1998, Vol. 1, P. 212-215.

Published

1999-09-14