A generalization of the Wiener-Hopf approach to direct and inverse scattering problems connected with non-homogeneous half-spaces bounded by n-part boundaries
Yükleniyor...
Dosyalar
Tarih
2000-08
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Oxford Univ Press
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The classical Wiener-Hopf method connected with mixed two-part boundary-value problems is generalized to cover n-part boundaries. To this end one starts from an ad-hoc representation for the Green function, which involves n unknown functions having certain analytical properties. Thus the problem is reduced to a functional equation involving n unknowns, which constitutes a generalization of the classical Wiener-Hopf equation in two unknowns. To solve this latter which cannot be solved exactly when n greater than or equal to 3, one establishes a new method permitting one to obtain the asymptotic expressions valid when the wavelength is sufficiently small as compared with the widths of the inner strips of the boundary. The essentials of the method are elucidated through a concrete inverse scattering problem whose aim is to determine the constitutive electromagnetic parameters of a slab and a half-space bounded by an n-part impedance plane. Some illustrative numerical examples show the applicability as well as the accuracy of the method.
Açıklama
Anahtar Kelimeler
Wiener-Hopf technique, Mixed boundary-value problems, Inverse scattering, Dimensional profile inversion, Field, Asymptotic stability, Boundary value problems, Functions, Inverse problems, Electromagnetic wave scattering
Kaynak
Quarterly Journal of Mechanics and Applied Mathematics
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
53
Sayı
3
Künye
İdemen, M. M. & Alkumru, A. (2000). Generalization of the wiener-hopf approach to direct and inverse scattering problems connected with non-homogeneous half-spaces bounded by n-part boundaries. Quarterly Journal of Mechanics and Applied Mathematics, 53(3), 393-420. doi:10.1093/qjmam/53.3.393
