A computationally efficient uniform analytical model for diffraction from PEC circular apertures via the extended BDW theory
Wave Motion, cilt.147, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 147
- Basım Tarihi: 2026
- Doi Numarası: 10.1016/j.wavemoti.2026.103819
- Dergi Adı: Wave Motion
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, Geobase, INSPEC, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO)
- Anahtar Kelimeler: Aperture antenna modeling, Boundary diffraction wave, Circular aperture diffraction, Computational electromagnetics, Electromagnetic shielding, PEC aperture, Radar cross-section
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
This paper presents a uniform and computationally efficient analytical formulation for electromagnetic diffraction from perfectly electrically conducting (PEC) circular apertures based on the Extended Boundary Diffraction Wave (ETBDW) theory. The proposed formulation coherently incorporates incident and reflected field components within a single reflection-aware boundary-diffraction framework, thereby eliminating the field discontinuities observed in classical BDW and Kirchhoff-type models near illuminated, transition, and shadow regions. A closed-form analytical expression is derived using detour parameters and Fresnel transition functions, enabling physically continuous amplitude and phase behavior over the observation domain. The model is validated through MATLAB-based numerical evaluation of the derived closed-form ETBDW expressions and cross-checked against full-wave CST simulations for canonical PEC aperture configurations. The results show smooth field transitions near reflective edges, consistent inverse-distance decay, stable energy normalization, and agreement with reference numerical and full-wave simulation data within small deviations. Each 180° angular sweep requires less than 0.5 s in a standard MATLAB environment, confirming the suitability of the formulation for fast parametric analysis and hybrid electromagnetic solvers. The proposed model is particularly relevant for high-frequency aperture analysis, antenna modeling, radar cross-section prediction, electromagnetic shielding, and EMC-oriented simulations. To the authors’ knowledge, this work provides a closed-form uniform ETBDW formulation for reflection-aware diffraction from PEC circular apertures, combining analytical rigor with practical computational efficiency.