Some new vanishing solutions of linear antenna synthesis problem according to prescribed amplitude radiation pattern

Author

Gis, M.

Author_Institution

Inst. for Appl. Problems of Mech. & Math., Acad. of Sci., Lviv, Ukraine

fYear

36100

fDate

2-5 Nov1998

Firstpage

72

Lastpage

75

Abstract

The synthesis problem of a linear antenna according to the given amplitude radiation pattern in the variational statement is considered. As a criterion of optimization the least-square deviation between the prescribed and obtained amplitude patterns is taken. The analytical vanishing solutions of Euler´s equation are obtained. These solutions are presented as functions with complex parameters which are calculated easily from the set of transcendental equations. These solutions are better for such prescribed patterns which are vanishing too. Some numerical results are shown

Keywords

antenna radiation patterns; integral equations; linear antenna arrays; optimisation; variational techniques; Euler´s equation; amplitude radiation pattern; complex parameters; least-square deviation; linear antenna synthesis problem; nonlinear integral equation; optimization criterion; transcendental equations; vanishing solutions; variational statement; Antenna radiation patterns; Current distribution; Differential equations; Directive antennas; Integral equations; Mathematics; Nonlinear equations; Silicon compounds;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/DIPED.1998.730947

Filename

730947