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Surface wave scattering by a rectangular impedance cylinder located on a reactive plane
Author(s) -
Tayyar İsmail Hakkı,
Aksoy Serkan,
Alkumru Ali
Publication year - 2004
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.580
Subject(s) - mathematics , cylinder , mathematical analysis , algebraic equation , plane (geometry) , scattering , surface (topology) , geometry , reactance , diffraction , plane wave , integral equation , complex plane , electrical impedance , physics , optics , nonlinear system , quantum mechanics , voltage
The electromagnetic scattering of the surface wave by a rectangular impedance cylinder located on an infinite reactive plane is considered for the case that the impedances of the horizontal and vertical sides of the cylinder can have different values. Firstly, the diffraction problem is reduced into a modified Wiener–Hopf equation of the third kind and then solved approximately. The solution contains branch‐cut integrals and two infinite sets of constants satisfying two infinite systems of linear algebraic equations. The approximate analytical or numerical evaluations of corresponding integrals and numerical solution of the linear algebraic equation systems are obtained for various values of parameters such as the surface reactance of the plane, the vertical and horizontal wall impedances, the width and the height of the cylinder. Copyright © 2004 John Wiley & Sons, Ltd.