Modelling of photonic-crystal VCSELs with semi-vectorial and vectorial models

In this work I present a new semi-vectorial model for analysis of photonic-crystal VCSELs (PC-VCSELs), which is a combination of the plane-wave expansion method with the effective index approximation. It allows to consider vectorial properties of electromagnetic field in three-dimensional structures while being still much more numerically efficient than fully-vectorial methods. I show the simulation of the optical properties of an oxide-confined vertical-cavity surface-emitting laser as well as of a modern design of PC-VCSEL. The results are compared with the ones obtained with the classical effective index method and with the fully-vectorial plane-wave admittance method. This allows to draw conclusions on accuracy of the presented approach as well as of the scalar approximations in general.