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Multiple diffraction of obliquely incident plane waves by a three‐part impedance plane
Author(s) -
Büyükaksoy Alinur,
Uzgören Gökhan
Publication year - 1992
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/92rs00851
Subject(s) - diffraction , plane (geometry) , plane wave , optics , field (mathematics) , electrical impedance , surface (topology) , near and far field , physics , fourier transform , mathematics , mathematical analysis , geometry , quantum mechanics , pure mathematics
Uniform asymptotic high‐frequency solution is developed for the diffraction of obliquely incident plane waves by a three‐part impedance plane. The multiple interaction up to third order between the edges of the three‐part impedance plane is obtained to yield a uniform scattered field. The employed formulations are based on a spectral iteration techique consisting of taking the Fourier integral representation of the n.tuply diffracted field by one junction as the incident field for the two‐part plane where the (n+1)th diffraction will occur. Upon using the field components normal to the three‐part surface, the (n+1)th diffracted field is obtained through the solution of a pair of uncoupled Wiener‐Hopf equations. The contribution of the surface wave fields to the secondary as well as triply diffraction is included in the analysis.