Bi-conjugate gradient FFT method for magnetodielectric objects in layered media

Scattering problem for magnetodielectric objects in the background of layered media has widespread applications, such as antenna analysis and unknown targets detection. Considering the fact that objects are usually inhomogeneous and have arbitrary shape, the volume integral equations are the more appropriate choice to solve. However, this work is very challenging because of the following two reasons: first, for the reason that both permittivity and permeability of the objects are different from the background, the electric field integral equation (EFIE) and the magnetic field integral equation (MFIE) should be solved simultaneously; second, the evaluation of the layered media Green´s functions is one of the most important and time-consuming components of solving the integral equations.