Dynamic Patterns of Scattering for Phased Array Modeling

A dynamic pattern for a given direction is determined as a set of values of the electromagnetic fields radiated by the phased array or scattered by closely located objects. An asymptotic correspondence of two- and three-dimensional antenna theory problems based on nontrivial formulation of the Lorentz lemma is considered. The mathematical model that includes phased array and scattering objects is formulated as a system of the integral equations of a block structure. Such a formulation is useful for supercomputer modeling in the case of various initial data. We consider a case that is important for practical application, when the scattering objects are metals with finite conductivity. The Leontovich impedance boundary conditions are used for these objects. It is shown that the numerical solution of such a mathematical model requires the use of a specific variant of the perturbation method. The obtained results for dynamic patterns of scattering can be used to correct the initial phase distribution of the array.