The properties of solutions of the synthesis problem for the waveguide array

Author

Andriychuk, M.I. ; Savenko, P.O.

Author_Institution

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

fYear

2001

fDate

18-20 Sep 2001

Firstpage

151

Lastpage

155

Abstract

The synthesis problem of waveguide array with due regard for the mutual coupling of the elements is considered. The variational statement of problem consists in minimization of functional presenting the mean-square deviation of the prescribed and synthesized amplitude radiation patterns; the functional contains additional summand, which specifies limitation on a norm of the excitation coefficients of the array elements. The nonlinear equation, corresponding to a functional, is solved numerically by the method of successive approximations. The linear equation for investigation of branchpoints is obtained. The results of numerical calculations are discussed

Keywords

antenna radiation patterns; functional equations; mean square error methods; minimisation; nonlinear equations; variational techniques; waveguide antenna arrays; amplitude radiation patterns; branchpoints; excitation coefficient norm; functional minimization; linear equation; mean-square deviation; mutual element coupling; nonlinear equation; successive approximations; variational problem; waveguide array synthesis; Electromagnetic fields; Electromagnetic modeling; Electromagnetic waveguides; Integral equations; Linear approximation; Mathematical model; Mathematics; Mutual coupling; Nonlinear equations; Rectangular waveguides;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2001. DIPED 2001. Proceedings of the 6th International Seminar/Workshop on

Conference_Location

Lviv

Print_ISBN

966-02-1876-1

Type

conf

DOI

10.1109/DIPED.2001.965055

Filename

965055