The electromagnetic theory of the infinitely conducting wire grating using a Fourier-Bessel expansion of the field

The infinitely conducting grating problem has recently been solved through an expansion of the field on a local basis, rendering a large class of wire cross sections tractable. Attention is presently given to the specific case of a circular cross section wire, for which the use of Bessel functions yields a simple but rigorous formalism. In numerical implementation, this method is more time consuming and less precise than the method employing Hamilton's canonical equations.