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

Viet-Dung Nguyen (1, 2, 3) , Huy Phan (4) , Oliver Chén (5, 6) , Ali Mansour (1, 7) , Arnaud Coatanhay (1, 8) , Thierry Marsault (9)

1 ENSTA Bretagne - École Nationale Supérieure de Techniques Avancées Bretagne
2 Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance
3 VNU - Vietnam National University [Hanoï]
4 QMUL - Queen Mary University of London
5 CHUV - Centre Hospitalier Universitaire Vaudois = Lausanne University Hospital [Lausanne]
6 UNIL - Université de Lausanne = University of Lausanne
7 Lab-STICC_SI3 - Equipe Security, Intelligence and Integrity of Information
8 Lab-STICC_PIM - Equipe PIM
9 DGA

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.

Mots clés: Integral equations; Partial differential equations

Domaines: Sciences de l'ingénieur [physics]

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⟩