Abstract—Using the method of base components, a heuristic solution to the diffraction problem on a semitransparent half-plane has been determined. The heuristic formulas have been verified via numerical solution. We have a semitransparency function for describing the transformation of the heuristic formulas upon variation in the transparency parameter of a scatterer.
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Analytical expressions (14) for coefficients R and T that correspond to boundary conditions (12) and the results of the numerical calculation of the strict solution (we denote this with fr(R, T, φ, φ0)) were presented by Bankov in [14]. The numerical solution is based upon the Wiener–Hopf method in [15, 16] and has the form of a singular diffraction coefficient (as in (10) or (11)).
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Vesnik, M.V. Using the Method of Base Components for a Heuristic Solution to the Diffraction Problem on a Half-Plane with Nonideal Boundary Conditions. J. Commun. Technol. Electron. 64, 1211–1217 (2019). https://doi.org/10.1134/S106422691911024X
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DOI: https://doi.org/10.1134/S106422691911024X