We present a new formulation for the problem of electromagnetic scattering
from perfect electric conductors. While our representation for the electric and
magnetic fields is based on the standard vector and scalar potentials A,Ï• in the Lorenz gauge, we establish boundary conditions on the
potentials themselves, rather than on the field quantities. This permits the
development of a well-conditioned second kind Fredholm integral equation which
has no spurious resonances, avoids low frequency breakdown, and is insensitive
to the genus of the scatterer. The equations for the vector and scalar
potentials are decoupled. That is, the unknown scalar potential defining the
scattered field, Ï•Sc, is determined entirely by the incident scalar
potential Ï•In. Likewise, the unknown vector potential defining the
scattered field, ASc, is determined entirely by the incident vector
potential AIn. This decoupled formulation is valid not only in the
static limit but for arbitrary ω≥0.Comment: 33 pages, 7 figure