Application of the Kravchenko-Darboux and Kravchenko-Besicovitch two-dimensional fractal functions in antenna theory

Authors

  • Vladimir M. Masyuk Institute of Radio Engineering and Electronics of the Russian Academy of Sciences, Russian Federation

DOI:

https://doi.org/10.1109/ICATT.2003.1239189

Keywords:

antenna array, antenna theory, antenna radiation patterns, low-sidelobe antennas, fractals, atomic functions, linear array, Darboux function, Besicovich function

Abstract

One of the methods for fractal antenna array synthesis, based on the use of fractal current distributions is considered. Analysis of both equally-spaced and non-equally-spaced antenna arrays constructed with using the Kravchenko-Darboux and Kravchenko-Besicovitch functions is shown.

References

Mandelbrot, B.B. Fractals: form, chance and dimension. San Francisco: Freeman, 1977.

Werner, D.H.; Haupt, R.L.; Werner, P.L. Fractal Antenna Engineering: The Theory and Design of Fractal Antenna Arrays. IEEE Antennas and Propagation Magazine, Vol. 41, No. 5, pp. 37-58.

Kravchenko, V.F. Lectures on the Theory of Atomic Functions and Their Some Applications. Moscow: Radiotekhnika, 2003.

Published

2003-09-14