Integral equations for EM scattering by homogeneous/inhomogeneous two-dimensional chiral bodies

Two sets of integral equations are obtained for electromagnetic (EM) scattering by isotropic two-dimensional chiral bodies embedded in free space which can be attached to a perfect electric conducting (PEC) body. For the special case of homogeneous chiral media, integral equations (IEL) are obtained in terms of only line integrals involving the free-space and chiral media Green´s functions. For the more general case where the chiral media is inhomogeneous, the integral equations (IESL) are expressed in terms of a combination of surface and line integrals involving only the free-space Green´s function. To validate the results obtained here, the two sets of integral equations are solved by means of the moment method technique. In fact, the IEL equations are solved exactly for two canonical geometries, whereas the IESL equations are approximately solved and compared with an exact eigenfunction solution