Some classes of nonlinear synthesis problems for radiation systems: theory and methods of solution

The theory and methods to solve some classes of the nonlinear inverse problems arising in the process of synthesis of the radiating systems are stated. The requirements for the amplitude radiation pattern and restrictions on the distribution of the extrinsic electromagnetic field excitation sources in the variational statements of problems are prescribed. Investigation of the structure and properties of solutions for the nonlinear integral equations, which are the Euler equations of the corresponding functionals, is based on the methods of nonlinear analysis. The iterative processes for the numerical determination of solutions are constructed and substantiated. The results of analytical and numerical investigations of the synthesis problems for various types of antenna arrays, as well as the synthesis problem of the hybrid antenna systems are presented.