Improving the Mode Expansion Propagation Method

Description

The Mode Expansion Propagation Method (MEPM) is a widely used numerical method for modelling optical waveguides. The Perfectly Matched Layer (PML) is a popular procedure for truncating unbounded domains for numerical simulations of wave propagation problems. In this project, the optimal selection of the PML parameters is studied when a PML is used with the MEPM. The objective of this study therefore is to reduce the computing effort while keeping the solutions at a desired level of accuracy. Also, the intention is to develop an efficient implementation of MEPM with PML for arbitrarily bent waveguides. Finally, the development of a procedure is proposed to reduce the error of the staircase approximation in MEPM when a continuously varying waveguide is approximated by a piecewise uniform waveguide.