Abstract
In order to do numerical simulations of three dimensional photonic crystals. Because three dimensional photonic crystals is modeled by the Maxwell equations, we used Yee’s finite difference scheme to derive the explicit matrix representation. We get a generalized eigenvalue problem (GEVP). The GEVP corresponding to the photonic crystals with face centered cubic (FCC) lattice and simple cubic (SC) lattice and we apply these theoretical results to project the GEVP to a standard eigenvalue problem (SEVP). Since we want to do numerical simulation, we developed FAME to do this and provided a GUI interface. This thesis is a introduction to FAME. 1