Electromagnetic Diffraction by a Thin Conducting Annular Disk

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Abstract
The problem of diffraction of time harmonic electromagnetic waves by a perfectly conducting thin annular disk is solved when the incident wave is a plane wave traveling in a direction perpendicular to the annulus. The electromagnetic problem is reduced to two scalar problems with the help of the Hertz vector representation formulas. Each of these scalar problems is formulated in terms of a Fredholm integral equation of the first kind, which is subsequently reduced to a system of four simultaneous Fredholm integral equations of the second kind. This system is then solved by the straightforward iteration scheme. Low‐frequency approximations are presented for various physical quantities such as the components of the induced surface current density at the disk and the scattering cross section.

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