Analysis of electromagnetic scattering by arbitrary shaped anisotropic objects using combined field surface integral equation formulation

An electromagnetic problem of scattering by anisotropic material objects is considered. The theoretical formulation is facilitated by field representation in terms of the vector and scalar potentials. Independent differential equations satisfied by the potentials are derived through the use of the Lorentz type gauge conditions. The superposition type integral solutions to the aforementioned equations are obtained, and eventually utilized to represent both the electric and the magnetic fields.;Finally, the formulation for completely arbitrary shaped three-dimensional anisotropic objects is presented. Integral equations are explicitly derived for a particular case of the anisotropic medium for which the constitutive tensor elements obey a specific relationship.;The resulting integral forms of the fields are applied to the solution of the boundary-value problem of an arbitrary shaped anisotropic body placed in a surrounding isotropic medium, which contains the sources of the external excitation. The enforcement of electromagnetic boundary conditions at the surface of the anisotropic scattering body leads to a set of two coupled combined-field surface integral equations in terms of unknown induced surface electric and magnetic currents. The solution of the integral equations is formulated numerically, employing the well known method of moments. The techniques developed here for the scattering problems involving arbitrary shaped anisotropic objects has an advantage over the volumetric methods in that it is simpler and more economical to implement numerically.