Title :
About branching of solutions of synthesis problem for a flat aperture according to the prescribed amplitude directivity pattern
Author :
Protsakh, L.P. ; Savenko, P.O. ; Tkach, M.D.
Author_Institution :
Pidstryhach Inst. for Appl. Problems in Mech. & Math., NASU, Lviv, Ukraine
Abstract :
The synthesis problem of flat aperture according to the prescribed amplitude directivity pattern (DP), which is reduced to investigation and numerical solution of a two-dimensional non-linear integral equation of the Hammerstein type, is considered. The transcendental equations for finding the branching lines of the solutions are obtained. A numerical method of their finding is proposed. For the case of rectangular aperture the investigations of finding the branching-off solutions are given.
Keywords :
integral equations; numerical analysis; amplitude directivity pattern; branching lines; flat aperture; numerical solution; synthesis problem; transcendental equations; two-dimensional nonlinear integral equation; Apertures; Approximation methods; Eigenvalues and eigenfunctions; Equations; Integral equations; Kernel;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2010 Xvth International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
978-1-4244-7790-6
Electronic_ISBN :
978-966-02-5654-5
