Analytical-numerical investigation of the nonlinear equation for a synthesis problem of waveguide array

Author

Andriychuk, M.I.

Author_Institution

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

fYear

2002

fDate

2002

Firstpage

141

Lastpage

144

Abstract

The nonlinear equation of a synthesis problem for the waveguide array using a standard technique of the calculus of variations is obtained. Utilization of the Bubnov-Galerkin method for the solution of a direct problem (analysis problem) allows for certain restrictions to obtain a real kernel of this equation. The existence of a real kernel enables to carry out analytical investigation of the non-uniqueness and branching of solutions of the obtained equation. Numerical results of research of the eigen values of the corresponding-linear equation are given.

Keywords

Galerkin method; antenna theory; iterative methods; nonlinear equations; waveguide antenna arrays; Bubnov-Galerkin method; analysis problem; analytical-numerical investigation; calculus of variations; direct problem; eigenvalues; linear equation; nonlinear equation; synthesis problem; waveguide array; Apertures; Calculus; Integral equations; Kernel; Linearity; Mathematics; Nonlinear equations; Radio frequency; Waveguide theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2002. DIPED - 2002. Proceedings of the 7th International Seminar/Workshop on

Print_ISBN

966-02-2224-6

Type

conf

DOI

10.1109/DIPED.2002.1049192

Filename

1049192