Implementation of non-uniform mesh in non-equilibrium Green’s function simulations of quantum cascade lasers

Abstract

The non-equilibrium Green’s function formalism method is used to simulate electronic transport in a quantum cascade laser. Calculations are performed in a real-space basis defined by the grid points. Implementation of a non-uniform mesh greatly improves the effectiveness of the method, allowing for realistic mapping of the device structure while keeping the numerical load achievable for personal computers. The results of simulations obtained employing a non-uniform mesh are shown to fit the experimental data much better than those using constant grid sampling.