Modal theory of eddy currents in thin circular plates

The eddy current distribution in a thin finite circular conductive plate moving in an external magnetic field is formulated as an integral equation and solved in two steps. First the eigenvalue problem of the associated homogeneous integral equation is solved to yield a family of orthogonal functions; then the solution of the original equation is expressed as a linear combination of these eigenfunctions. These functions, the same for any thin circular plate, are approximated by seminumerical integration. The eigenfunctions are described and an illustrative application is shown