Gaussian beam excitation of optical fibers using the Fictitious Domain Method

Excitation of a square optical fiber with rounded edges by a Gaussian beam is modelled numerically. The numerical simulation is based on the Fictitious Domain Method (FDM). The derivation of the two-dimensional Fictitious Domain Method is thoroughly studied and is then extended to three dimensional perfect prisms. Stability analysis is done on the two-dimensional Fictitious Domain Method. The Gaussian beams source is implemented using a modified version of a Total Field/Scattered Field formulation. A convergence study is done for a two dimensional trivial solution on a rotated square domain.