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Nonlinear Analysis in Synthesis Theory of Radiating Systems

Volume 6, Issue 4, August 2021    |    PP. 76-131    |PDF (2441 K)|    Pub. Date: August 29, 2021
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Author(s)
Petro Sаvenko, Department of numerical methods of the Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NASU,3 «B» Naukova Str., 79060, Lviv, Ukraine

Abstract
A brief overview of the works of the author and his co-authors on the application of nonlinear analysis methods for solving the nonlinear inverse problems (synthesis problems) for optimizing the different types of radiating systems are presented in the paper. The synthesis problem are formulated in variational statements and further they are reduced to research and numerical solution of nonlinear integral equations of Hammerstein type. The existence theorems are proof, the investigation methods of nonuniqueness problem of solutions and numerical algorithms of finding the optimal solutions are proved.

Keywords
nonlinear inverse problems, radiating systems, energy characteristics of directivity, nonlinear integral equations of the Hammerstein type, nonuniqueness and branching (or bifurcation) of solutions, numerical finding of optimal solutions, contour diagrams of directivity.

Cite this paper
Petro Sаvenko, Nonlinear Analysis in Synthesis Theory of Radiating Systems, SCIREA Journal of Physics. Vol. 6 , No. 4 , 2021 , pp. 76 - 131 .

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