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SHIELDING OF A PERFECTLY CONDUCTING CIRCULAR DISK: EXACT AND STATIC ANALYTICAL SOLUTION

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The problem of the shielding evaluation of an infinitesimally thin perfectly conducting circular disk against a vertical magnetic dipole is here addressed. The problem is reduced to a set of… Click to show full abstract

The problem of the shielding evaluation of an infinitesimally thin perfectly conducting circular disk against a vertical magnetic dipole is here addressed. The problem is reduced to a set of dual integral equations and solved in an exact form through the application of the Galerkin method in the Hankel transform domain. It is shown that a second-kind Fredholm infinite matrix-operator equation can be obtained by selecting a complete set of orthogonal eigenfunctions of the static part of the integral operator as expansion basis. A static solution is finally extracted in a closed form which is shown to be accurate up to remarkably high frequencies.

Keywords: shielding perfectly; conducting circular; circular disk; solution; perfectly conducting

Journal Title: Progress In Electromagnetics Research C
Year Published: 2019

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