Modelling photonic bandgap structures having multiple defects

The modelling of defects in photonic crystals (PC) by traditional numerical methods is difficult because it requires much memory and computing time. An analytical method of multiple-scattering solves this typical problem for spherical inclusions. Only this method does the study of lattices made up with a great number of spheres. This method finds the minimal number of spheres to obtain equivalence between finite and infinite photonic crystals. From ordered to disordered systems, we have used this method to study the effects of random variations of the radii and positions of the spheres in the lattice.