To Numerical Solution of Synthesis Problem of Flat Aperture According to the Given Requirements to Amplitude Directivity Pattern

Author

Savenko, P.O. ; Tkach, M.D.

Author_Institution

Pidstryhach Inst. for Appl. Problems of Mech. & Math., Lviv

fYear

2007

fDate

17-20 Sept. 2007

Firstpage

153

Lastpage

157

Abstract

One approach to numerical solution of two-dimensional nonlinear spectral problem arising in the synthesis problems of antenna with flat radiating aperture according to the given requirements to amplitude directivity pattern is stated. Nonuniqueness and branching of the solutions is characteristic property of nonlinear synthesis problems. Finding the optimum solutions is reduced to investigation and numerical solution of Hammerstein type nonlinear two-dimensional integral equation. Numerical algorithms for finding the branching lines and branch off solutions to this equation are constructed and justified. Numerical examples are given.

Keywords

antenna radiation patterns; electromagnetic wave propagation; integral equations; nonlinear equations; 2D nonlinear spectral problem; Hammerstein type integral equation; amplitude directivity pattern; branch off solutions; branching lines; flat aperture antenna; nonlinear 2D integral equation; nonlinear synthesis problems; numerical algorithms; Aperture antennas; Distribution functions; Gold; Hilbert space; Integral equations; Kernel; Mathematics; Nonlinear equations; Polarization;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2007 XIIth International Seminar/Workshop on

Conference_Location

Lviv

Print_ISBN

978-966-02-4237-1

Type

conf

DOI

10.1109/DIPED.2007.4373598

Filename

4373598