Investigation of H-polarized cylindrical wave scattering by a parallel corrugated waveguide
Haider, Sabih Hussain, Sajjad Bibi, Aysha Ayub, Muhammad Khawar Alsharif, Faisal
Haider, Sabih
Hussain, Sajjad
Bibi, Aysha
Ayub, Muhammad Khawar
Alsharif, Faisal
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2025-12-27
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Article
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Keywords
Cylindrical wave,Residue theorem,Saddle point method,Wiener–Hopf (WH) technique
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Citation
Haider, S., Hussain, S., Bibi, A., Ayub, M., & Alsharif, F. (2025). Investigation of H-polarized cylindrical wave scattering by a parallel corrugated waveguide. Journal of Electromagnetic Waves and Applications, 1–30. https://doi.org/10.1080/09205071.2025.2598374
Abstract
This study explores the scattering behavior of H-polarized cylindrical electromagnetic waves, originating from a line source and incident on a semi-infinite parallel plate waveguide featuring sinusoidal wall corrugations. Understanding wave diffraction phenomena by a sinusoidal waveguide is crucial not only in radar and antenna systems but also in the design and development of novel materials with tailored acoustic or electromagnetic properties. The analysis of this complex waveguide structure is approached through a multi-step mathematical framework. We first employ the perturbation analysis to tackle the problem, systematically deriving zero and first-order approximations. The Fourier transform is employed for the transformation of zero and first-order problems from the spatial to the spectral domain to proceed with the further mathematical treatment. Subsequently, Wiener–Hopf (WH) equations are developed for zero and first-order problems, which are solved using WH theory along with kernel decomposition. The integral equations resulting from the WH equations are subsequently tackled asymptotically. This asymptotic approach enables us to obtain accurate and efficient solutions for the scattering problem, considering factors, such as an incident angle, a corrugation amplitude, and periodicity. The results are presented graphically to illustrate the scattering patterns for different values of the physical parameters. © 2025 Informa UK Limited, trading as Taylor & Francis Group.
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Taylor and Francis Ltd.
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Journal of Electromagnetic Waves and Applications
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0920-5071