Title :
On the structure of the solutions of the antenna synthesis problems according to the prescribed amplitude directivity pattern using the regularization functionals
Author :
Savenko, Petro O.
Author_Institution :
Inst. of Appl. Problems of Mech. & Math., Acad. of Sci., Lvov, Ukraine
Abstract :
It is known, that antenna synthesis problems according to the prescribed amplitude directivity pattern belong to the class of essentially incorrect problems. The absence of demands on the phase directivity pattern under the conditions of the problem should be used as an additional possibility to improve the approximation of the synthesized directivity pattern (DP) to the given one. At the same time, the the nonlinearity of the problem leads to the non-uniqueness of the solutions that complicates the process of numerically searching the solutions. In this report investigations of the quantity and quality characteristics of the existing solutions, based on the methods of functional analysis, are given in the cases of a linear antenna and antennas with plane aperture and their discrete analogy (antenna grids). It turns out that the quantity and the quality of the solutions depend on the value of the electrical size of the aperture, on the value of the space angle (where the DP is given), and on the quality of DP
Keywords :
antenna radiation patterns; functional analysis; linear antennas; amplitude directivity pattern; antenna grids; antenna synthesis problems; approximation; electrical size; functional analysis; linear antenna; nonlinearity; phase directivity pattern; plane aperture; regularization functionals; space angle; synthesized directivity pattern; Apertures; Geometry; Hafnium; Identity-based encryption; Integral equations; Mathematics; Nonlinear equations;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 1998. MMET 98. 1998 International Conference on
Conference_Location :
Kharkov
Print_ISBN :
0-7803-4360-3
DOI :
10.1109/MMET.1998.709701