On the Relationship Between the Vogler Algorithm Derivation and the Parabolic Equation for Multiple Knife-Edge Diffraction - Pôle Photonic & Microwave Systems
Journal Articles IEEE Transactions on Antennas and Propagation Year : 2024

On the Relationship Between the Vogler Algorithm Derivation and the Parabolic Equation for Multiple Knife-Edge Diffraction

Abstract

We prove the equivalence between the derivation of the Vogler algorithm and the parabolic equation for multiple knife-edge diffraction problems under certain conditions. To illustrate the key ideas, we present two case studies for single and double knife-edge diffraction, where the proposed results generalize the available results in the literature. The insight from our proof can serve two purposes: allowing cross-checking results of the Vogler algorithm and the parabolic equation; and building the foundation on which new methods for solving this essential problem and related ones can be developed.
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hal-04581996 , version 1 (15-09-2024)

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Viet-Dung Nguyen, Huy Phan, Oliver Chén, Ali Mansour, Arnaud Coatanhay, et al.. On the Relationship Between the Vogler Algorithm Derivation and the Parabolic Equation for Multiple Knife-Edge Diffraction. IEEE Transactions on Antennas and Propagation, 2024, 72 (5), pp.4682-4686. ⟨10.1109/TAP.2024.3382868⟩. ⟨hal-04581996⟩
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