Shielding of a perfectly conducting circular disk. Exact and static analytical solution

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Lovat G., Burghignoli P., Araneo R., Celozzi S., Andreotti A., Assante D., Verolino L.
ISSN: 1937-8718

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.

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