The estimation of the average scattering characteristics of objects

The purpose of this paper is to assess the possibility of determining the size of a perfectly conducting object – a two-dimensional corner structure with a maximum average scattering characteristic. Based on the solution of Fredholm integral equation of the 1st kind, the scattering characteristics of electromagnetic waves of a two-dimensional corner structure were determined. These characteristics were the multiextremal functions depending on the size of the cylinder and the length of its contour. The function was researched by using the method of grids and local optimization method – the method of golden section. The following results were obtained: the dependencies of the corner structure size on the length of the contour for different sectors of observation angles that give the maximum value of the average characteristics of the scattering; the coefficients of polynomials, which give a reasonable approximation of the relative error of the obtained relationships were determined. The algorithm presented in this paper and the results can then be used to create objects that contain in their composition corner structures with the specified requirements for the average characteristics of the scattering. The results of the study can be generalized for the case when several corners are included in the electrodynamic object. In that instance, it is necessary to determine the total scattered field with consideration to the phase difference in the arrival of an electromagnetic wave from different reflectors.

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