The amplitude and power criterion in the synthesis problems for waveguide antennas

Authors

  • Mykhaylo I. Andriychuk Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine https://orcid.org/0000-0001-9380-8807
  • O. F. Zamorska Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine

DOI:

https://doi.org/10.1109/ICATT.2007.4425239

Keywords:

waveguide array, amplitude radiation characteristics, methods of successive approximation, modeling results, nonlinear equations

Abstract

The synthesis problem of the waveguide array according to the prescribed amplitude and power radiation pattern is considered. The mutual coupling of the separate elements of array is taken into account in the process of solution of a direct problem (analysts problem). Variational statement of the synthesis problem is used. The functionals representing a mean-square deviation of the prescribed and received radiation patterns are minimized. The corresponding nonlinear equations are reduced; and the modeling results are shown.

References

ANDRIYCHUK, M.I.; ZAMORSKA, O.F. Separation of variables in the synthesis problems of phased antenna arrays. Proc. of Vth Int. Conf. on Antenna Theory and Tech., 24-27 May 2005, Kyiv, Ukraine. IEEE, 2005, p.217-220, doi: http://dx.doi.org/10.1109/ICATT.2005.1496930.

SAVENKO, P.A.; TKACH, M.D. Numerical solution of the synthesis problem for microstrip array with due regard the mutual coupling of radiators. Radio Technique and Electronics, 2001, v.46, n.1, p.58-65.

KUMAR, B.P.; BRANNER, G.R. Generalized Analytical Technique for the Synthesis of Unequally Spaced Arrays with Linear, Planar, Cylindrical or Spherical Geometry. IEEE Trans. Antennas Propag., Feb. 2005, v.53, n.2, p.621-634, doi: http://dx.doi.org/10.1109/TAP.2004.841324.

ANDRIYCHUK, M.I.; VOITOVICH, N.N.; SAVENKO, P.A.; TKACHUK, V.P. Synthesis of Antennas According to the Amplitude Pattern. Numerical Methods and Algorithms. Kiev: Nauk. Dumka, 1993, 256 p. [In Russian].

DMITRIEV, V.I.; BEREZINA, N.I. Numerical Methods of Solution of the Synthesis Problems for the Radiating Systems. Moscow: MSU, 1986 [In Russian].

Published

2007-09-22