This paper presents an effective method to deal with problems formulated in terms of Wiener–Hopf equations which contain entire unknowns and exponential phase factors. The methodology reduces the factorization problem to regularized integral equations. In particular, we validate the method analysing a practical application in electromagnetism: the scattering of a plane wave by a slot in a thick metallic screen. This article is part of the theme issue ‘Analytically grounded full-wave methods for advances in computational electromagnetics’.

Regularized Wiener–Hopf method in problems modelled by entire unknowns and exponential phase factors: the electromagnetic thick slot / Daniele, Vito; Lombardi, Guido. - In: PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A: MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. - ISSN 1364-503X. - STAMPA. - 383:2303(2025), pp. 1-27. [10.1098/rsta.2024.0351]

Regularized Wiener–Hopf method in problems modelled by entire unknowns and exponential phase factors: the electromagnetic thick slot

Daniele, Vito;Lombardi, Guido
2025

Abstract

This paper presents an effective method to deal with problems formulated in terms of Wiener–Hopf equations which contain entire unknowns and exponential phase factors. The methodology reduces the factorization problem to regularized integral equations. In particular, we validate the method analysing a practical application in electromagnetism: the scattering of a plane wave by a slot in a thick metallic screen. This article is part of the theme issue ‘Analytically grounded full-wave methods for advances in computational electromagnetics’.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/3008884