Integral Boundary Conditions in Studying a 2-D Propagation Problem of Monochromatic Waves Using the Finite Difference Method

In this study, a two-dimensional propagation problem for a TM-polarized monochromatic wave in a magnetodielectric inclusion situated in free space is considered using the Integral Equation Method (IEM). Using this method, the closed boundary value problem for defining the field inside the inclusion has stated in terms of non-local boundary conditions in the form of Fredholm Integral Equation of second kind. The obtained problem has solved numerically by means of the Finite Difference method.