Nonlinear synthesis problem of flat equidistant antenna arrays according to the prescribed amplitude directivity pattern

Authors

  • L. P. Protsakh Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine
  • P. O. Savenko Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine
  • M. D. Tkach Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine, Ukraine

DOI:

https://doi.org/10.1109/ICATT.2009.4435136

Keywords:

flat antenna array, synthesis, amplitude directivity pattern, non-uniqueness and branching of solutions, lines of branching

Abstract

Within the context of elementary mathematical model a nonlinear synthesis problem of flat equidistant antenna array at the given requirements to the amplitude directivity pattern is investigated. It is shown, that for the problems of this class the nonuniqueness and branching of solutions, dependent on physical parameters of the array is characteristic. The justified algorithms of finding the branching lines of solutions and optimum synthesized amplitude directivity pattern are stated. A numerical example of synthesis of two-beam amplitude directivity pattern is given.

References

ZELKIN, E.G.; SOKOLOV, V.G. Synthesis Methods of Antenna Arrays and Antenna with Continuous Aperture. Moscow: Sov. Radio, 1980.

SAVENKO, P.O. Nonlinear Problems of Radiating Systems Synthesis (Theory and Methods of Solution). Lviv: IAPMM of NASU, 2002.

SAVENKO, P.A.; PROTSAKH, L.P. Method of Implicit function in solving the nonlinear spectral problem. Izv. VUZ. Mathematics, 2007, n.11(546), p.41-44.

VAINBERG, M.M.; TRENOGIN, V.A. Theory of Branching of Solutions to Nonlinear Equations. Moscow: Nauka, 1969.

SAVENKO, P.A. Synthesis of linear antenna arrays according to the given amplitude directivity pattern. Izv. VUZ. Radiophysics, 1979, v.22, n.12, p.1498-1504.

ICATT 2009 cover

Published

2009-10-10

Issue

2009: ICATT’2009 - Proc. of VII Int. Conf. on Antenna Theory and Techniques

Section

Antenna arrays