Synthesis of amplitude radiation pattern for plane waveguide array using the variational approach and method of aperture orthogonal polynomials

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
  • V. P. Tkachuk Odesa National Academy of Telecommunications, Ukraine

DOI:

https://doi.org/10.1109/ICATT.2011.6170750

Keywords:

plane waveguide array, amplitude radiation pattern, variational approach aperture orthogonal polynomials

Abstract

The synthesis problem of waveguide array according to the prescribed amplitude 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 (analysis problem). Variational statement of the synthesis problem and application of the aperture orthogonal polynomials (AOP) method, are considered as alternative approaches to solve the synthesis problem.

The functional representing a mean-square deviation of the prescribed and received amplitude radiation patterns is minimized, as well as the expansion of sought amplitudephase distribution of current in the series by some kind of AOP that implies the finding the expansion coefficients, are used for determination of the optimal amplitude distributions of current in array. The modeling results are presented.

References

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: Naukova 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, 112 p. [in Russian].

ZELKIN, E.G.; KRAVCHENKO, V.F.; GUSEVSKYI, V.I. The Constructive Methods of Approximation in the Antenna Theory. Moscow: Nauka, 2005, 512 p. [in Russian].

ANDRIYCHUK, M.I.; KLAKOVYCH, L.M.; SAVENKO, P.O.; TKACH, M.D. Numerical solution of nonlinear synthesis problems of antenna arrays with regard for coupling of radiators. Proc. of V Int. Conf. on Antenna Theory and Techniques, ICATT, 24-27 May 2005, Kyiv, Ukraine. IEEE, 2005, p.213-216, doi: http://dx.doi.org/10.1109/ICATT.2005.1496929.

Published

2011-09-25