Analytical ETBDW Formulation for Electromagnetic Scattering by Circular Apertures on PMC Surfaces
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Date
2025-12
Authors
Altınel, Mustafa
Yalçın, Uğur
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
This study presents and validates a uniform analytical formulation for electromagnetic diffraction from circular apertures on perfect magnetic conductor (PMC) surfaces using the extended boundary diffraction wave (ETBDW) theory. The proposed PMC–ETBDW model incorporates an in-phase reflection coefficient (
= +1) within the boundary kernel, producing a physically continuous and energy-conserving representation of diffracted fields across illuminated, transition, and shadow regions. Expressed through detour parameters and Fresnel-type transition functions, the formulation eliminates phase discontinuities and maintains amplitude normalization consistent with theoretical energy conservation. Numerical evaluations performed for representative aperture radii (a = λ–3λ) and observation distances (r = 3λ–9λ) confirmed the expected 1/r amplitude decay, smooth Fresnel–Fraunhofer transitions, and constructive interference associated with magnetic reflection. Comparative analyses with PEC and opaque boundaries verified that in-phase magnetic reflection enhances on-axis field intensity and preserves phase continuity near the shadow boundary, in full agreement with the dual electromagnetic behavior predicted for PMC interfaces. Beyond its theoretical completeness, the proposed formulation provides a compact and computationally efficient framework for diffraction modeling and hybrid solver integration, offering practical applicability to magnetic coatings, low-RCS reflectors, and metasurface-based structures.
Description
SCIE
Keywords
perfect magnetic conductor (PMC) , electromagnetic scattering , uniform asymptotics , Kirchhoff diffraction integral , Huygens–Fresnel principle , edge integral formulation , computational electromagnetics
Citation
Altınel, M. & Yalçın, U. (2026). Analytical ETBDW Formulation for Electromagnetic Scattering by Circular Apertures on PMC Surfaces. Technical Physics, 71, 47–59. https://doi.org/10.1134/S1063784225601206
