Title :
Application of modified Newton method to nonlinear integral equation of circular antenna synthesis problem
Author :
Andriychuk, M.I. ; Bulatsyk, O.O. ; Voitovich, N.N.
Author_Institution :
Pidstryhach Inst. of Appl. Problems of Mech. & Math., NASU, Lviv
Abstract :
An equation arisen in the synthesis problem of antenna systems according to the prescribed amplitude radiation pattern is investigated. The proposed modification of the Newton method allows finding the branched solutions depending on the value of characteristic physical parameter. The algorithm is described and numerical results are presented.
Keywords :
Newton method; antenna radiation patterns; integral equations; nonlinear equations; amplitude radiation pattern; circular antenna synthesis; modified Newton method; nonlinear integral equation; Antenna radiation patterns; Concrete; Gold; Integral equations; Jacobian matrices; Mathematics; Matrix decomposition; Newton method; Nonlinear equations; Polynomials;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2008. DIPED 2008. 13th International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
978-966-02-4649-2
DOI :
10.1109/DIPED.2008.4671824