An analysis of scattering of transverse electric (TE) illumination by inhomogeneous lossy dielectric/ferrite cylinders near a planar media interface by employing the hybrid surface/volume integral equation method is presented. The inhomogeneous cylinders are of general cross section, of infinite extent, and their axes are parallel to the interface. Coupled hybrid integral equations are formulated and a numerical method is developed for solving them. In the formulation of the hybrid integral equations, both the surface equivalence principle and the volume equivalence theorem are employed, and attention is focused on minimizing the computation of Sommerfeld integrals and on reducing the number of unknowns. From the numerical solution of the equivalent surface current, the far-zone scattered field is calculated. Data depicting the equivalent current distribution and the far-zone field patterns are presented and discussed for various cylinder and half-space parameters.