Electrodynamic Algorithm for Calculation of the Reflective Element of a Reconfigurable Intelligent Surfaces

The article is devoted to the study of a new approach to calculating the reflective element of a reconfigured intelligent surface. The solution of the electrodynamic problem is carried out based on a conditional division of the entire region of determination of the electromagnetic field in a single reflective element into two regions. The correctness of the application of the proposed approach for calculating the characteristics of a single reflective element is shown. In this article, a calculation of a single reflective element of a reconfigured intelligent surface is carried out. The numerical convergence of the proposed approach for reflection coefficients is investigated when the order of truncation of the system of linear algebraic equations increases. It is obtained that the modulus of the reflection coefficient R10 coincides with the exact solution. That is, for the case of scanning in the H-plane for all scanning angles, good convergence of the solution to the problem is obtained. The aim of the work is to develop methods for calculating waveguide reflective elements of reconfigurable intelligent surfaces. The methodology consists of the conditional division of the entire area of determination of the electromagnetic field into two areas and the application of the integral equation method. The scientific novelty lies in the fact that we have shown the correctness of applying a new approach to calculating a single reflective element of a reconfigured intelligent surface. The conclusions can be formulated as follows. The feasibility of using a waveguide reflective element in reconfigurable intelligent surfaces is shown. The use of a rigorous electrodynamic calculation of this structure based on the integral equation method is proposed. The correctness of the algorithm is shown by a boundary transition to a known exact solution. This allows us to recommend the proposed methodology for building reconfigurable intelligent surfaces in 5G and 6G.