Numerical solution of synthesis problems of radiating systems according to the prescribed power directivity pattern

Author

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

141

Lastpage

145

Abstract

The method of numerical solution of nonlinear inverse problems of the synthesis theory of radiating systems according to the given directivity pattern (DP) by power is stated. A variational statement of the problem, in which the mean-square deviation of the prescribed and synthesized DP and restrictions on the norm of excitation sources are considered. The existence theorem of quasi-solutions is proved, the Euler equation for their finding is obtained. The conditions are determined and convergence of the used iterative processes is proved at numerical solution of the problem. The numerical example of synthesis is given

Keywords

antenna arrays; antenna radiation patterns; convergence of numerical methods; directive antennas; inverse problems; iterative methods; mean square error methods; variational techniques; Euler equation; antenna array; convergence; directivity pattern; excitation sources; iterative processes; mean-square deviation; nonlinear inverse problems; numerical solution; power directivity pattern; quasi-solutions; radiating system synthesis; variational problem; Antenna arrays; Convergence of numerical methods; Dielectrics; Electromagnetic fields; Electromagnetic radiation; Inverse problems; Mathematics; Nonlinear equations; Permeability; Smoothing methods;

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.2001.965053

Filename

965053