The fast converging method of calculation of wire radiators in infinite planar phased antenna array

Authors

  • Viktor P. Kudzin Gomel Engineering Institute, Belarus

DOI:

https://doi.org/10.1109/ICATT.2009.4435134

Keywords:

infinite phased array, numerical method, integral equation, thin wire radiator, Green’s function

Abstract

The effective fast converging method of calculation of wire radiators in infinite planar phased antenna array is developed. The method is based on use of Green’s function submitted as double series with accelerated convergence. The moment method is applied and piecewise sine basic and weight functions automatically satisfied to Kirchhoff’s current law are used. Expressions for impedance matrix elements consist of two series. Members of the series generated by spectral part of Green’s function are represented as the closed analytical expressions. Members of series generated by spatial part of Green’s function are calculated numerically by one-fold integration.

References

SINGH, S.; RICHARDS, W.F.; ZINECHER, J.R.; WILTON, D.R. Accelerating the Convergence of Series Representing the Free Space Periodic Green’s Function. IEEE Trans., 1990, v.AP-38, p.1958-1962.

KUDZIN, V.P. The method for arbitrary shaped wire antennas analysis in infinite planar phased array. Antennas, 2006, v.4, n.107, p.22-28.

KUDZIN, V.P.; RUBAN, A.P. Algorithmization of problems of excitation of wire structures. Izv. VUZ. Radioelektronika, 1986, n.8, p.10-15.

Published

2009-10-10