Modeling and approximation of scattering characteristics of elementary reflectors

Tasks related to the modeling of various electrodynamic objects are encountered in radar, design of electrodynamic devices, measures to reduce radar visibility, development of antennas and diffraction structures. In general, on the basis of the decomposition method, electrodynamic objects can be represented as a set of various elementary components. The scattering properties of the entire object are determined by the scattering properties of each of the components. To determine such characteristics, it is necessary, in general, to rely on the appropriate numerical methods. For a fairly limited number of diffraction structures, various analytical expressions are given in the literature. In some cases, they are quite bulky and require some experience from researchers in the course of use. The paper proposes to approximate the characteristics of elementary reflectors based on the method of least squares and Lagrange polynomials. On the basis of the study, the values of the powers of approximating polynomials were determined, which give an error that does not exceed the specified value. The results of the work can be used in the design of diffraction structures. Based on the results obtained, the time for calculating scattering characteristics will be reduced.

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