Title :
Numerical solution of synthesis problems of radiating systems according to the prescribed power directivity pattern
Author_Institution :
Inst. of Appl. Problems of Mech. & Math., Acad. of Sci., Lvov, Ukraine
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;
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
DOI :
10.1109/DIPED.2001.965053
