Journal of Radio Electronics. eISSN 1684-1719. 2026. ¹2
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DOI: https://doi.org/10.30898/1684-1719.2026.2.13
A HIGH-PRECISION HEURISTIC SOLUTION
TO THE PROBLEM OF DIFFRACTION ON A HALF-PLANE
WITH NON-IDEAL BOUNDARY CONDITIONS
M.V. Vesnik
Kotelnikov IRE RAS
125009, Russia, Moscow, Mokhovaya str., 11, b.7
The paper was received December 19, 2025.
Abstract. A new technique for obtaining a precise heuristic formula for solving the problem of diffraction of an electromagnetic wave on a half-plane with non-ideal boundary conditions employing the recently developed method of fundamental components is proposed. As a primary heuristic formula, we take a combination of the reflection and transmission coefficients for an infinite plane with non-ideal boundary conditions and the known expression for the diffraction coefficient of a perfectly conducting half-plane. The technique for refining the primary heuristic formula represents a linear combination of two types of heuristic formulas in order to zero the scattering pattern at the margins while retaining the previously found values at the singularity points. The effectiveness of this method of refining is illustrated by solving the problem of diffraction of an electromagnetic wave on a half-plane with generalized two-sided impedance boundary conditions.
Key words: boundary value problems, electromagnetic diffraction, heuristic approaches in diffraction theory, impedance boundary conditions, physical theory of diffraction, surface impedance.
Corresponding author: Vesnik Mikhail Vladimirovich, vesnik@cplire.ru
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For citation:
Vesnik M.V. A technique for obtaining a high-precision heuristic solution to the problem of diffraction on a half-plane with non-ideal boundary conditions // Journal of Radio Electronics. – 2026. – ¹. 2. https://doi.org/10.30898/1684-1719.2026.2.13