Synthesis of 2D directional diagrams of antennas with arbitrary apperture based on atomic and R-functions

Authors

  • Victor F. Kravchenko Kotelnikov Institute of Radio Engineering and Electronics, RAS, Russian Federation
  • O. V. Kravchenko Kotelnikov Institute of Radio Engineering and Electronics, RAS, Russian Federation
  • A. R. Safin Kotelnikov Institute of Radio Engineering and Electronics, RAS, Russian Federation

DOI:

https://doi.org/10.1109/ICATT.2009.4435109

Keywords:

synthesis and analisys, antennas appertura, atomic and R-functions, directional diagram

Abstract

In this report problems of synthesis 2D directional diagram (DD) of antennas with arbitrary apertures on atomic and R-functions (V.L. Rvachov functions) are considered. A new approach for 2D DD synthesis based on generalized N-th dimensional Kravchenko-Kotel’nikov Theorems is offered. The theory of R-functions allows edge effects are appear in singularity points by synthesis and analysis of 2D antenna arrays with arbitrary forms. In this work was carried out comparison with well-known the following methods: Whittaker-Kotel’nikov-Shannon – series expansion, Fourier – series expansion, Chebyshev – series with series generalized Kravchenko-Kotel’nikov-Levitan.

References

MINKOVICH, B.M.; YAKOVLEV, V.P. The Theory of Synthesis Antennas. Moscow: Sov. Radio, 1969.

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

ZELKIN, Y.G.; KRAVCHENKO, V.F.; GUSEVSKII, V.I. Constructive Methods of Approximation in Antenas Theory. Moscow: Science-Press, 2005.

KRAVCHENKO, V.F.; RVACHOV, V.L. Boolean Algebra, Atomic Functions, and Wavelets in Physical Applications. Moscow: Fizmatlit, 2006.

Digital Signal and Image Processing in Radio Physical Applications. Moscow: Fizmatlit. 2007 [in Russian, ed. by V.F. Kravchenko].

KRAVCHENKO, V.F.; SAFIN, A.R. Atomic functions and N-th dimensional Whittaker-Kotel’nikov-Shannon Theorem. Electromagnetic Waves and Electronic Systems, 2008, v.13, n.12, p.31-44.

Published

2009-10-10