PHOTONIC BAND STRUCTURES OF 2-DIMENSIONAL AND 3-DIMENSIONAL PERIODIC DIELECTRIC MATERIALS

By the use of the Transfer-Matrix-Method (TMM) we have calculated both photonic band structure and transmission coefficient for electromagne tic waves of S and P polarization propagating in two-dimensional 2D st ructures consisting of identical parallel alumina dielectric cylinders in a square lattice. We have also studied the existence of photonic b and gaps of air cylinders formed in a slab of methylpentene polymer in the far-infrared region. Furthermore, the case of dielectric spheres in a three-dimensional 3D cubic lattice and the effect of the discreti zation mesh in the TMM was discussed.