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.

Shielding of a perfectly conducting circular disk. Exact and static analytical solution / Lovat, G.; Burghignoli, P.; Araneo, R.; Celozzi, S.; Andreotti, A.; Assante, D.; Verolino, L.. - In: PROGRESS IN ELECTROMAGNETICS RESEARCH C. - ISSN 1937-8718. - 95:(2019), pp. 167-182. [10.2528/pierc19052908]

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

Lovat G.;Burghignoli P.;Araneo R.;Celozzi S.;
2019

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.
2019
electromagnetic shielding; galerkin method; dual integral equations
01 Pubblicazione su rivista::01a Articolo in rivista
Shielding of a perfectly conducting circular disk. Exact and static analytical solution / Lovat, G.; Burghignoli, P.; Araneo, R.; Celozzi, S.; Andreotti, A.; Assante, D.; Verolino, L.. - In: PROGRESS IN ELECTROMAGNETICS RESEARCH C. - ISSN 1937-8718. - 95:(2019), pp. 167-182. [10.2528/pierc19052908]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1327626
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