Electromagnetic wave propagation in two dimensional anisotropic dielectric gratings

The electromagnetic wave propagation in dielectric gratings, consisting of a periodic array of rectangular anisotropic dielectric waveguides is examined. The free space Green´s function is obtained using the equivalent volume current theorem and Floquet´s theorem. An integral equation is obtained and solved using the moment method, with a proper choice of the basis functions for the field expansion inside the dielectric. The normalized phase constant is shown as a function of the normalized frequency for various geometrical parameters and dielectric anisotropy ratios. Comparison of some of these results with those existing for particular cases are also shown and a good agreement has always been observed.