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SCATTERING OF ELECTROMAGNETIC SPHERICAL WAVE BY A PERFECTLY CONDUCTING DISK
Author(s) -
Kohei Hongo,
Allah Ditta Ulfat Jafri,
Qaisar Abbas Naqvi
Publication year - 2012
Publication title -
electromagnetic waves
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.437
H-Index - 89
eISSN - 1559-8985
pISSN - 1070-4698
DOI - 10.2528/pier11102805
Subject(s) - mathematical analysis , integral equation , scattering , physics , computation , physical optics , surface (topology) , mathematics , electromagnetic radiation , projection (relational algebra) , matrix (chemical analysis) , geometry , optics , materials science , algorithm , composite material
The scattering of electromagnetic spherical wave by a perfectly conducting circular disk is studied by using the method of Kobayashi Potential (abbreviated as KP method). The formulation of the problem yields the dual integral equations (DIE). The spherical wave is produced by an arbitrarily oriented dipole. The unknowns are the induced surface current (or magnetic fleld) and the tangential components of the electric fleld on the disk. The solution for the surface current is expanded in terms of a set of functions which satisfy one of a pair (equations for the magnetic fleld) of Maxwell equations and the required edge condition on the surface of the disk. At this stage we have used the vector Hankel transform. Applying the projection solves the rest of the pair of equations. Thus the problem reduces to the matrix equations for the expansion coe-cients. The matrix elements are given in terms of the inflnite integrals with a single variable and these may be transformed into inflnite series that are convenient for numerical computation. The far fleld patterns of the scattered wave are computed and compared with those computed based on the physical optics approximation. The agreement between them is fairly good.

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