Low Frequency Scattering by a Metallic Plate

For a plane wave incident on a perfectly conducting flat plate of infinitesimal thickness, the first two terms in the low frequency expansion of the scattered field are determined. The zeroth order terms are the static fields and integral equations are developed from which the corresponding potentials can be found. The next terms can also be expressed in terms of potentials and functions which can be derived from a knowledge of the static fields. The far field expansion is obtained and the general method is illustrated in the case of a circular disk.