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Scattering of Electromagnetic Spherical Wave by a Perfectly Conducting Disk

By Kohei Hongo, Allah Ditta Ulfat Jafri, and Qaisar Naqvi
Progress In Electromagnetics Research, Vol. 129, 315-343, 2012


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 field) and the tangential components of the electric field 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 field) 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 coefficients. The matrix elements are given in terms of the infinite integrals with a single variable and these may be transformed into infinite series that are convenient for numerical computation. The far field 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.


Kohei Hongo, Allah Ditta Ulfat Jafri, and Qaisar Naqvi, "Scattering of Electromagnetic Spherical Wave by a Perfectly Conducting Disk," Progress In Electromagnetics Research, Vol. 129, 315-343, 2012.


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