Title :
Closed solutions of a nonlinear integral equation arisen in the antenna arrays synthesis theory
Author :
Voitovich, N.N. ; Reshnyak, O.O.
Author_Institution :
Inst. for Appl. Problems of Mech. & Math., Acad. of Sci., Lviv, Ukraine
Abstract :
The nonlinear integral equation describing solutions of the synthesis problem of an equidistant linear antenna array is investigated. The equation is obtained and solved numerically. The new solution has an analytical form with a small numbers of complex parameters calculated from a set of transcendental equations. The numerical results are presented. The results can be generalized for other problems described by the discrete Fourier transformation
Keywords :
antenna radiation patterns; antenna theory; discrete Fourier transforms; integral equations; linear antenna arrays; amplitude directivity patterns; antenna arrays synthesis theory; closed solutions; complex parameters; discrete Fourier transformation; equidistant linear antenna array; nonlinear integral equation; synthesis problem; transcendental equations; Antenna arrays; Antenna theory; Integral equations; Nonlinear equations; Polynomials;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 1998. DIPED-98. Proceedings of III International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
966-02-0621-6
DOI :
10.1109/DIPED.1998.730946