Title :
On differentiability of a functional arisen in antenna synthesis theory
Author :
Savenko, P.O. ; Topolyuk, Yu.P. ; Voitovich, Nikolai N.
Author_Institution :
Inst. of Appl. Problems of Mech. & Math., Acad. of Sci., Lvov
Abstract :
A nonlinear functional which has arisen in antenna synthesis theory according to the amplitude radiation pattern, is considered. The functional contains the modulus of a complex function; it is not Gateaux differentiable in complex Hilbertian spaces. The problem is reformulated for appropriate real spaces in which the functional is Gateaux differentiable
Keywords :
antenna radiation patterns; differentiation; functional equations; nonlinear functions; Gateaux differentiable functional; amplitude radiation pattern; antenna synthesis theory; complex Hilbertian spaces; complex function modulus; free phase problem; nonlinear functional; real spaces; Antenna theory; Gold; Hilbert space;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2000. DIPED - 2000. Proceedings of the 5th International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
966-02-1463-4
DOI :
10.1109/DIPED.2000.890002
