Scattering of an arbitrary shaped 3D chiral object above half-space

We consider the scattering of an arbitrarily shaped 3D chiral object above half space, a topic of interest to applications in which reduction in the scattering from targets has a significant impact. At microwave frequency, chiral materials can be used to minimize scattering, and as substrates for printed antennas to lower the resonance frequency. To the best of our knowledge, scattering from chiral targets located above half space has not been adequately addressed in the literature. The paper aims to develop a formulation based on the mixed potential integral equations (MPIEs) for electromagnetic scattering of an arbitrarily shaped 3D homogeneous chiral object located above half space. This is an extension of the scattering from homogeneous dielectric targets located above half space (Michalski, K.A. and Zheng, D., 1990). The difference is that the field produced by the equivalent surface currents in an unbounded homogeneous chiral medium is the sum of two circularly polarized waves with different sense of rotation and different phase velocities. The time dependence of exp(jωt) is assumed and suppressed.