Title :
Some new vanishing solutions of linear antenna synthesis problem according to prescribed amplitude radiation pattern
Author_Institution :
Inst. for Appl. Problems of Mech. & Math., Acad. of Sci., Lviv, Ukraine
Abstract :
The synthesis problem of a linear antenna according to the given amplitude radiation pattern in the variational statement is considered. As a criterion of optimization the least-square deviation between the prescribed and obtained amplitude patterns is taken. The analytical vanishing solutions of Euler´s equation are obtained. These solutions are presented as functions with complex parameters which are calculated easily from the set of transcendental equations. These solutions are better for such prescribed patterns which are vanishing too. Some numerical results are shown
Keywords :
antenna radiation patterns; integral equations; linear antenna arrays; optimisation; variational techniques; Euler´s equation; amplitude radiation pattern; complex parameters; least-square deviation; linear antenna synthesis problem; nonlinear integral equation; optimization criterion; transcendental equations; vanishing solutions; variational statement; Antenna radiation patterns; Current distribution; Differential equations; Directive antennas; Integral equations; Mathematics; Nonlinear equations; Silicon compounds;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 1998. DIPED-98. Proceedings of III International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
966-02-0621-6
DOI :
10.1109/DIPED.1998.730947
