An anisotropic material with a constant ε_y (x) and tailored ε_x (x) , ε_z (x) (inset) (β (x) = cos(πx/L)²sin(2πx/L) exp(− x²), α (x) = x²sin(2πx/L) exp(− x²)) inside the slab is designed such that it (top) does not reflect either TE or TM waves at grazing incidence. The results obtained from COMSOL Multiphysics are shown as dots. The field profiles at grazing incidence (bottom) are shown to decay to non-zero constants of equal amplitudes outside the slab region, as required for a half–bound state.