ANALYTICAL SOLUTION OF THE ZERO-THICKNESS PERFECTLY-CONDUCTING CIRCULAR DISK IN THE PRESENCE OF AN AXISYMMETRIC MAGNETIC DIPOLE: A SECOND-KIND FREDHOLM INTEGRAL-EQUATION APPROACH | Zendy

L. Verolino | Zendy; Giampiero Lovat | Zendy; Dario Assante | Zendy; Amedeo Andreotti | Zendy; Rodolfo Araneo | Zendy; Paolo Burghignoli | Zendy; Salvatore Celozzi | Zendy

Open Access

ANALYTICAL SOLUTION OF THE ZERO-THICKNESS PERFECTLY-CONDUCTING CIRCULAR DISK IN THE PRESENCE OF AN AXISYMMETRIC MAGNETIC DIPOLE: A SECOND-KIND FREDHOLM INTEGRAL-EQUATION APPROACH

Author(s) -

L. Verolino,

Giampiero Lovat,

Dario Assante,

Amedeo Andreotti,

Rodolfo Araneo,

Paolo Burghignoli,

Salvatore Celozzi

Publication year - 2020

Publication title -

progress in electromagnetics research c

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.341

H-Index - 34

ISSN - 1937-8718

DOI - 10.2528/pierc20041504

Subject(s) - fredholm integral equation , rotational symmetry , zero (linguistics) , dipole , integral equation , mathematical analysis , magnetic dipole , physics , fredholm theory , mathematics , geometry , quantum mechanics , linguistics , philosophy

The problem of radiation of a magnetic dipole axially symmetric with an infinitesimally thin perfectly conducting circular disk is solved in an exact closed form. This is done by transforming the original dual integral equation system describing the problem into a single second-kind Fredholm integral equation and searching for the solution as a power series. Both lowand high-frequency asymptotic limits are also discussed from which simple approximate solutions are readily derived. Numerical results are provided to validate the proposed formulation.

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