Abstract
When boundary conditions on a surface of a wedge are anisotropic impedance ones, the problem of diffraction is reduced to a coupled system of Maliuzhinets’ equations via Sommerfeld integral. For weak anisotropy a regular asymptotic method is developed to compute the leading terms and the first correction of spectral functions. Electromagnetic field which arises due to anisotropy is presented in closed form. Analytic properties of spectral functions are investigated. Uniform asymptotics for the scattered field are constructed via matching of local asymptotic expansions.
Résumé
Dans les conditions aux limites d’anisotropie des impédances à la surface d’un coin diélectrique, le problème de la diffraction est réduit à un système couplé d’équations de Maliuzhinets en utilisant les intégrales de Sommerfeld. Dans le cas d’anisotropie faible, une méthode asymptotique régulière est utilisée pour calculer les premiers termes et la première correction des fonctions spectrales. Les champs électromagnétiques dus à l’anisotropie sont présentés sous forme explicite. Etude des propriétés analytiques des fonctions spectrales. Des asymptotes uniformes pour le champ diffracté sont construites à l’aide de procédures d’adaptation de développements asymptotiques locaux.
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Ljalinov, M.A. Diffraction by a wedge with anisotropic face impedances. Ann. Télécommun. 49, 667–672 (1994). https://doi.org/10.1007/BF03001321
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DOI: https://doi.org/10.1007/BF03001321
Key words
- Wave diffraction
- Electromagnetic wave
- Wedge
- Dielectric materials
- Surface impedance
- Anisotropy
- Spectral function
- Asymptotic approximation