TITLE:
The Radiation System Synthesis by the Power Criterion as a Problem of Optimization with Restrictions
AUTHORS:
Mykhaylo I. Andriychuk, Bohdan M. Podlevskyi
KEYWORDS:
Power RP, Variational Approach, Non-Linear Integral Equation, Successive Approximation Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.12,
December
27,
2018
ABSTRACT: A
nonlinear synthesis problem of antennas according to the prescribed power
(squared amplitude) radiation pattern (RP) is considered in the variational
statement that yields in the possibility to take into account an additional
restriction to the synthesized power RP. The problem of synthesis consists of
finding such currents in antenna, which generates the RP with the best approximation to the given one. The respective Euler’s equation is reduced on the basis of used
functional. This is nonlinear integral equation of Hammerstein’s type. The
effective numerical methods are elaborated and applied for its solving. The
computational results verify the effectiveness of approach proposed.