A set of integral equations for electromagnetic wave radiation from an arbitrary source in a linear, lossy, inhomogeneous, cold magnetoionic medium

By decomposing the permittivity tensor into its isotropic, longitudinal, and transverse parts (with respect to the static magnetic field), a set of simultaneous integral equations are derived for the electric field components in a linear, lossy, inhomogeneous, cold magneto-plasma. The developed integral equations are useful to obtain an approximate solution for electromagnetic radiation as well as scattering problems in such a medium.