An Integral Equation Approach to Scattering From a Body of Finite Conductivity

The problem of scattering from a homogeneous body is formulated in terms of two coupled integral equations relating the effective electric and magnetic surface currents K e and K m . The formulation chosen, in which each equation involves the constitutive parameters of only one medium, is especially suited to the case of a high conductivity scatterer. From the equation for the conducting medium, one can derive. under increasingly restrictive assumptions, first an explicit expression for K m in terms of K e then a curvature‐dependent boundary condition relating the two currents, and finally the usual Leontovich boundary condition. Numerical results for scattering from circular cylinders of small radius show the advantage of the curvature‐dependent condition over the Leontovich condition.