EM response of right angle dielectric wedge for normal incidence

The EM response of a right-angled dielectric wedge is studied theoretically when a plane wave is incident normally upon it. The solutions of Helmholtz’s wave equation for the dielectric structure are derived around the infinite dielectric-free space interface at $$y=0$$ as radiation modes. The dielectric-free space interface is cut to make it a dielectric wedge which is immersed in an E-polarized incident field. The incident and scattered fields are coupled around the interface at $$x=0$$ by Mode Matching to derive field continuity equations. These fields continuity equations are simplified by employing the orthogonal properties of the modes which reduced the problem into to a set of two simultaneous equations with an infinite number of unknowns, called mode amplitudes, which are truncated in actual numerical computation. These equations are solved simultaneously to get these mode amplitudes. The far field scattered powers in free space as well as within the wedge are calculated numerically