Numerical solution of nonlinear synthesis problem of flat aperture with use of smoothing functional

Author

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

Author_Institution

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

fYear

2008

fDate

22-25 Sept. 2008

Firstpage

87

Lastpage

91

Abstract

One approach to the numerical solution of synthesis problem of antennas with flat radiating aperture according to the prescribed requirements to amplitude directivity pattern and presence of restrictions on norm of currents of excitation is stated. Nonuniqueness and branching of the solutions are characteristics of such class of problems. Finding the optimum solutions is reduced to investigation and numerical solution of Hammestein type nonlinear two-dimensional integral equation. Numerical algorithms for finding the branching lines and branch off solutions of this equation are constructed and justified. Numerical examples are given.

Keywords

antenna radiation patterns; aperture antennas; integral equations; nonlinear equations; smoothing methods; Hammestein type nonlinear integral equation; current excitation; directivity pattern; flat radiating aperture antenna; nonlinear synthesis; numerical algorithm; smoothing function; Aperture antennas; Distribution functions; Gold; Hilbert space; Integral equations; Mathematics; Nonlinear equations; Polarization; Smoothing methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2008. DIPED 2008. 13th International Seminar/Workshop on

Conference_Location

Tbilisi

Print_ISBN

978-966-02-4649-2

Type

conf

DOI

10.1109/DIPED.2008.4671810

Filename

4671810