Fixed Point Iterative Method to solve 1D wave equation. Application to 1D photonic crystals

摘要

In this paper we introduce an iterative method based on the classical fixed point theorem to solve the one-dimensional linear wave equation in the frecuency domain. One of the biggest interests of this method is that it gives both numerical and analytical approximated wave equation solutions. The field of application of this method are general non-magnetic 1D linear media. In particular, we apply it to concrete one-dimensional linear photonic crystals to obtain the electric field profile inside the crystal.