  We present a new method for the analysis of electromagnetic scattering from
homogeneous penetrable bodies. Our approach is based on a reformulation of the
governing Maxwell equations in terms of two uncoupled vector Helmholtz systems:
one for the electric feld and one for the magnetic field. This permits the
derivation of resonance-free Fredholm equations of the second kind that are
stable at all frequencies, insensitive to the genus of the scatterers, and
invertible for all passive materials including those with negative
permittivities or permeabilities. We refer to these as decoupled field integral
equations.
