ELECTRODYNAMIC ALGORITHM FOR CALCULATING AN ANTENNA ARRAY BASED ON AN INTEGRAL REPRESENTATION FOR A COMMON REGION FIELD
DOI:
https://doi.org/10.32782/IT/2023-3-5Keywords:
integral equation method, penetrating domain, common region, reflection coefficient, numerical convergence.Abstract
The article is devoted to the study of a new approach in the integral equation method. The solution of the electrodynamic problem is carried out based on conditional selection of the common region in the entire area of electromagnetic field definition. In our previous publications, we proposed an integral equation method based on the selection of a penetrating region for solving the problem of electromagnetic wave diffraction on a periodic structure. The legality of using the proposed approach and its equivalence with the previously proposed approach are shown. In this article, the calculation of an infinite antenna array scanning in the H-plane is carried out. The numerical convergence of the proposed approach for reflection coefficients R10 with increasing order of truncation of the system of linear algebraic equations was studied. It was found that the modulus of the reflection coefficient coincides with the exact solution at M = 1 and subsequently does not change with the growth of M. While the phase of the reflection coefficient changes with the growth of M and when M˃11, the difference between the phase value of the exact solution and the calculated value is less than 1%. That is, for the case of scanning in the H-plane, good convergence of the problem solution was obtained for all scanning angles. The aim of the work is to show that for a certain class of problems of applied electrodynamics, it is possible to apply the integral equation method based on the selection of a common region. The methodology consists in the conditional allocation of a common region in the entire area of electromagnetic field determination and the application of the integral equation method. The scientific novelty is that we have shown the correctness of using a new approach based on the selection of the field of the common region for the calculation of periodic structures in the H-plane. The conclusions can be formulated as follows. It is shown that two approaches can be used to calculate the antenna array in the H-plane: the first based on the selection of the integral representation for the full field of the penetrating region, the second based on the selection of the integral representation for the full field of the common region.
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