Title :
The analytic-numerical solution method of the nonlinear problems of the antennas phase synthesis
Author :
Andriychuk, M.I.
Author_Institution :
Inst. for Appl. Problems of Mech. & Math, Acad. of Sci., Lviv, Ukraine
Abstract :
The phase synthesis problems of antennas according to the prescribed amplitude radiation pattern in the variational statement are considered. Optimization of the considered functionals reduces the problems to the nonlinear Euler´s equation set concerning the phase radiation pattern and unknown phase distribution of a current. The appropriate linear equation for determination of the branch points is obtained. For investigation of this equation the numerical approach is used
Keywords :
antenna radiation patterns; antenna theory; numerical analysis; optimisation; variational techniques; amplitude radiation pattern; analytic-numerical solution method; antennas; functionals optimisation; nonlinear Euler´s equation; nonlinear problems; phase radiation pattern; phase synthesis problems; unknown phase distribution; Antenna arrays; Antenna radiation patterns; Lenses; Mathematics; Mirrors; Nonlinear equations; Nonlinear optics; Optical arrays; Perturbation methods; Phased arrays;
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.1998.730950